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  <link:labelLink xlink:role="http://www.xbrl.org/2003/role/link" xlink:type="extended">
    <link:label id="lab_srt_RangeMember_c7e75761-4368-4792-8bfb-b729bf2c6554_terseLabel_en-US" xlink:label="lab_srt_RangeMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Statistical Measurement [Domain]</link:label>
    <link:label id="lab_srt_RangeMember_label_en-US" xlink:label="lab_srt_RangeMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Statistical Measurement [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeMember" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_RangeMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_RangeMember" xlink:to="lab_srt_RangeMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanRelatedPartyAndPartyInInterestTransactionsTextBlock_594c0c79-4027-4ef2-b3a7-6a12c8b72c9f_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanRelatedPartyAndPartyInInterestTransactionsTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Transactions with Parties-in-Interest</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanRelatedPartyAndPartyInInterestTransactionsTextBlock_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanRelatedPartyAndPartyInInterestTransactionsTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Related Party and Party-in-Interest Transactions [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanRelatedPartyAndPartyInInterestTransactionsTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanRelatedPartyAndPartyInInterestTransactionsTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanRelatedPartyAndPartyInInterestTransactionsTextBlock" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanRelatedPartyAndPartyInInterestTransactionsTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForInterestIncomeOnNoteReceivableFromParticipant_84e7c86a-4df7-4548-8760-a97a0a51d005_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForInterestIncomeOnNoteReceivableFromParticipant" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest on notes receivable from participants</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForInterestIncomeOnNoteReceivableFromParticipant_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForInterestIncomeOnNoteReceivableFromParticipant" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Change in Net Asset Available for Benefit, Increase from Interest Income on Note Receivable from Participant</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForInterestIncomeOnNoteReceivableFromParticipant" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForInterestIncomeOnNoteReceivableFromParticipant"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForInterestIncomeOnNoteReceivableFromParticipant" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForInterestIncomeOnNoteReceivableFromParticipant" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_DocumentInformationLineItems_7a477df9-857f-4d19-b75b-3386a9031b0f_terseLabel_en-US" xlink:label="lab_dei_DocumentInformationLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Document Information [Line Items]</link:label>
    <link:label id="lab_dei_DocumentInformationLineItems_label_en-US" xlink:label="lab_dei_DocumentInformationLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Document Information [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentInformationLineItems" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentInformationLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentInformationLineItems" xlink:to="lab_dei_DocumentInformationLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantAccountMaximumBorrowingAmount_030af65c-f1d3-44c6-893c-a185cc9a35dd_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantAccountMaximumBorrowingAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Maximum borrowing, amount</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantAccountMaximumBorrowingAmount_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantAccountMaximumBorrowingAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Note Receivable from Participant, Account, Maximum Borrowing, Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantAccountMaximumBorrowingAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantAccountMaximumBorrowingAmount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantAccountMaximumBorrowingAmount" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantAccountMaximumBorrowingAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueByFairValueHierarchyLevelAxis_30019102-3e4b-4564-a1d2-2af81ce55090_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value Hierarchy and NAV [Axis]</link:label>
    <link:label id="lab_us-gaap_FairValueByFairValueHierarchyLevelAxis_label_en-US" xlink:label="lab_us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value Hierarchy and NAV [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueByFairValueHierarchyLevelAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:to="lab_us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_cnmd_EBPEmployerContributionMaximumMatchingAmount_f3f39d4a-9064-4b90-9ca9-21a0cc762b81_terseLabel_en-US" xlink:label="lab_cnmd_EBPEmployerContributionMaximumMatchingAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Employer maximum matching amount</link:label>
    <link:label id="lab_cnmd_EBPEmployerContributionMaximumMatchingAmount_label_en-US" xlink:label="lab_cnmd_EBPEmployerContributionMaximumMatchingAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Employer Contribution, Maximum Matching Amount</link:label>
    <link:label id="lab_cnmd_EBPEmployerContributionMaximumMatchingAmount_documentation_en-US" xlink:label="lab_cnmd_EBPEmployerContributionMaximumMatchingAmount" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">EBP, Employer Contribution, Maximum Matching Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnmd_EBPEmployerContributionMaximumMatchingAmount" xlink:href="cnmd-20260616.xsd#cnmd_EBPEmployerContributionMaximumMatchingAmount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnmd_EBPEmployerContributionMaximumMatchingAmount" xlink:to="lab_cnmd_EBPEmployerContributionMaximumMatchingAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanContributionPolicyTextBlock_6e4a97cc-b3c0-4331-877b-7473e1da0dd9_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanContributionPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Contributions</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanContributionPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanContributionPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Contribution [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanContributionPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanContributionPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanContributionPolicyTextBlock" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanContributionPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanAbstract_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Description of Plan and Accounting Change [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanAbstract" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentTypeAxis_002a3921-e320-423c-87f0-87d579c580d4_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentTypeAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Type [Axis]</link:label>
    <link:label id="lab_us-gaap_InvestmentTypeAxis_label_en-US" xlink:label="lab_us-gaap_InvestmentTypeAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Type [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentTypeAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentTypeAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentTypeAxis" xlink:to="lab_us-gaap_InvestmentTypeAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantAccountMaximumBorrowingToTotalAccountPercentage_3ec4b94a-bb23-4b07-a335-8bb0c5ca00ec_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantAccountMaximumBorrowingToTotalAccountPercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Maximum borrowing, to total account, percentage</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantAccountMaximumBorrowingToTotalAccountPercentage_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantAccountMaximumBorrowingToTotalAccountPercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Note Receivable from Participant, Account, Maximum Borrowing, to Total Account, Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantAccountMaximumBorrowingToTotalAccountPercentage" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantAccountMaximumBorrowingToTotalAccountPercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantAccountMaximumBorrowingToTotalAccountPercentage" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantAccountMaximumBorrowingToTotalAccountPercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanInvestmentNumberOfShares_6b7dd050-97d0-433f-b0c8-349e865ae335_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanInvestmentNumberOfShares" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of Shares (in shares)</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanInvestmentNumberOfShares_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanInvestmentNumberOfShares" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Investment, Number of Shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanInvestmentNumberOfShares" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanInvestmentNumberOfShares"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanInvestmentNumberOfShares" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanInvestmentNumberOfShares" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanTaxStatusTextBlock_e5aac4b4-85b1-467e-b6ee-7c7fe3135eb7_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanTaxStatusTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Income Tax Status</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanTaxStatusTextBlock_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanTaxStatusTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Tax Status [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanTaxStatusTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanTaxStatusTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanTaxStatusTextBlock" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanTaxStatusTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_cnmd_EBPParticipantContributionAutomaticAnnualIncreaseDeferralRate_d74fc114-9e32-4e88-9e4f-662dc840209c_terseLabel_en-US" xlink:label="lab_cnmd_EBPParticipantContributionAutomaticAnnualIncreaseDeferralRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Automatic deferral rate, annual increase</link:label>
    <link:label id="lab_cnmd_EBPParticipantContributionAutomaticAnnualIncreaseDeferralRate_label_en-US" xlink:label="lab_cnmd_EBPParticipantContributionAutomaticAnnualIncreaseDeferralRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Participant Contribution, Automatic, Annual Increase Deferral Rate</link:label>
    <link:label id="lab_cnmd_EBPParticipantContributionAutomaticAnnualIncreaseDeferralRate_documentation_en-US" xlink:label="lab_cnmd_EBPParticipantContributionAutomaticAnnualIncreaseDeferralRate" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Annual increase in percentage of eligible compensation contributed for participant automatically enrolled in employee stock purchase, saving, or similar plan (employee benefit plan (EBP)) until the contribution reaches maximum threshold.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnmd_EBPParticipantContributionAutomaticAnnualIncreaseDeferralRate" xlink:href="cnmd-20260616.xsd#cnmd_EBPParticipantContributionAutomaticAnnualIncreaseDeferralRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnmd_EBPParticipantContributionAutomaticAnnualIncreaseDeferralRate" xlink:to="lab_cnmd_EBPParticipantContributionAutomaticAnnualIncreaseDeferralRate" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanLineItems_ed5dde2b-a17a-4146-8bb9-f058cb9158f4_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">EBP, Description of Plan [Line Items]</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanLineItems_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Description of Plan [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanLineItems" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForInterestAndDividendIncomeOnInvestment_7c5e4aaa-0799-4bfa-8f51-2b09f7f32e5d_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForInterestAndDividendIncomeOnInvestment" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest and dividends</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForInterestAndDividendIncomeOnInvestment_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForInterestAndDividendIncomeOnInvestment" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Change in Net Asset Available for Benefit, Increase from Interest and Dividend Income on Investment</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForInterestAndDividendIncomeOnInvestment" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForInterestAndDividendIncomeOnInvestment"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForInterestAndDividendIncomeOnInvestment" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForInterestAndDividendIncomeOnInvestment" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanRelatedPartyAndPartyInInterestTransactionsTableTextBlock_abc1655f-9057-491f-960d-d5b2e5d3aafa_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanRelatedPartyAndPartyInInterestTransactionsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Party-in-Interest Transactions</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanRelatedPartyAndPartyInInterestTransactionsTableTextBlock_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanRelatedPartyAndPartyInInterestTransactionsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Related Party and Party-in-Interest Transactions [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanRelatedPartyAndPartyInInterestTransactionsTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanRelatedPartyAndPartyInInterestTransactionsTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanRelatedPartyAndPartyInInterestTransactionsTableTextBlock" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanRelatedPartyAndPartyInInterestTransactionsTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentTable_c13322b2-aad3-442e-a149-86853e7c6eb0_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">EBP, Schedule of Asset Held for Investment [Table]</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentTable_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Schedule of Asset Held for Investment [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentTable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentTable" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentTable" xlink:type="arc" order="1"/>
    <link:label id="lab_cnmd_EBPRequisiteServicePeriod_bfd0acc0-eab4-4123-bf3f-febf6bad91e9_terseLabel_en-US" xlink:label="lab_cnmd_EBPRequisiteServicePeriod" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Participant compensation matched, minimum service period</link:label>
    <link:label id="lab_cnmd_EBPRequisiteServicePeriod_label_en-US" xlink:label="lab_cnmd_EBPRequisiteServicePeriod" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Requisite Service Period</link:label>
    <link:label id="lab_cnmd_EBPRequisiteServicePeriod_documentation_en-US" xlink:label="lab_cnmd_EBPRequisiteServicePeriod" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">EBP, Requisite Service Period</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnmd_EBPRequisiteServicePeriod" xlink:href="cnmd-20260616.xsd#cnmd_EBPRequisiteServicePeriod"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnmd_EBPRequisiteServicePeriod" xlink:to="lab_cnmd_EBPRequisiteServicePeriod" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanExpensePolicyTextBlock_4610fa13-0678-4c4d-bb03-e8ba349bcef8_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanExpensePolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Administrative Expenses</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanExpensePolicyTextBlock_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanExpensePolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Expense [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanExpensePolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanExpensePolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanExpensePolicyTextBlock" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanExpensePolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantAccountMinimumBorrowingAmount_462c52c5-45d9-4cb7-8d21-ff944e127e0d_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantAccountMinimumBorrowingAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Minimum borrowing, amount</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantAccountMinimumBorrowingAmount_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantAccountMinimumBorrowingAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Note Receivable from Participant, Account, Minimum Borrowing, Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantAccountMinimumBorrowingAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantAccountMinimumBorrowingAmount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantAccountMinimumBorrowingAmount" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantAccountMinimumBorrowingAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SubsequentEventMember_019e4fe7-7e2d-7612-9638-159f44d41e9d_terseLabel_en-US" xlink:label="lab_us-gaap_SubsequentEventMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subsequent Event</link:label>
    <link:label id="lab_us-gaap_SubsequentEventMember_label_en-US" xlink:label="lab_us-gaap_SubsequentEventMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Subsequent Event [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SubsequentEventMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsequentEventMember" xlink:to="lab_us-gaap_SubsequentEventMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_MoneyMarketFundsMember_ed4bae5c-d0b1-44e7-b006-370e96da8964_terseLabel_en-US" xlink:label="lab_us-gaap_MoneyMarketFundsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Money Market Funds</link:label>
    <link:label id="lab_us-gaap_MoneyMarketFundsMember_label_en-US" xlink:label="lab_us-gaap_MoneyMarketFundsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Money Market Funds [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MoneyMarketFundsMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_MoneyMarketFundsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MoneyMarketFundsMember" xlink:to="lab_us-gaap_MoneyMarketFundsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_cnmd_EBPCompanyContributionVestingPercentage_46861263-b64f-48b3-8fd2-22530b6ecc95_terseLabel_en-US" xlink:label="lab_cnmd_EBPCompanyContributionVestingPercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Vesting percentage</link:label>
    <link:label id="lab_cnmd_EBPCompanyContributionVestingPercentage_label_en-US" xlink:label="lab_cnmd_EBPCompanyContributionVestingPercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Company Contribution Vesting Percentage</link:label>
    <link:label id="lab_cnmd_EBPCompanyContributionVestingPercentage_documentation_en-US" xlink:label="lab_cnmd_EBPCompanyContributionVestingPercentage" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Company contribution and/ or investment earning percentage vesting to the participant in Company Matching Contributions, Fixed Rate Contributions, Discretionary Profit-Sharing Contributions, Qualified Non-Elective Contributions, and Disability Contributions, upon completion of minimum service period or attainment of maximum vesting age</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnmd_EBPCompanyContributionVestingPercentage" xlink:href="cnmd-20260616.xsd#cnmd_EBPCompanyContributionVestingPercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnmd_EBPCompanyContributionVestingPercentage" xlink:to="lab_cnmd_EBPCompanyContributionVestingPercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseForPaymentToParticipant_cdab27a6-9638-4f91-9b37-ce4f501fc345_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseForPaymentToParticipant" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Distributions to participants</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseForPaymentToParticipant_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseForPaymentToParticipant" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Change in Net Asset Available for Benefit, Decrease from Payment to Participant</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseForPaymentToParticipant" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseForPaymentToParticipant"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseForPaymentToParticipant" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseForPaymentToParticipant" xlink:type="arc" order="1"/>
    <link:label id="lab_cnmd_EBPNoteReceivableFromParticipantMaximumNumberOfLoans_07dc0391-4fb7-4808-bc48-f45c1dae4efc_totalLabel_en-US" xlink:label="lab_cnmd_EBPNoteReceivableFromParticipantMaximumNumberOfLoans" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Maximum number of loans allowed</link:label>
    <link:label id="lab_cnmd_EBPNoteReceivableFromParticipantMaximumNumberOfLoans_label_en-US" xlink:label="lab_cnmd_EBPNoteReceivableFromParticipantMaximumNumberOfLoans" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Note Receivable From Participant, Maximum Number Of Loans</link:label>
    <link:label id="lab_cnmd_EBPNoteReceivableFromParticipantMaximumNumberOfLoans_documentation_en-US" xlink:label="lab_cnmd_EBPNoteReceivableFromParticipantMaximumNumberOfLoans" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">EBP, Note Receivable From Participant, Maximum Number Of Loans</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnmd_EBPNoteReceivableFromParticipantMaximumNumberOfLoans" xlink:href="cnmd-20260616.xsd#cnmd_EBPNoteReceivableFromParticipantMaximumNumberOfLoans"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnmd_EBPNoteReceivableFromParticipantMaximumNumberOfLoans" xlink:to="lab_cnmd_EBPNoteReceivableFromParticipantMaximumNumberOfLoans" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanPaymentToParticipantPolicyTextBlock_6039da33-d1d1-489a-960c-26b571b6a60a_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanPaymentToParticipantPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Payment of Benefits</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanPaymentToParticipantPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanPaymentToParticipantPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Payment to Participant [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanPaymentToParticipantPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanPaymentToParticipantPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanPaymentToParticipantPolicyTextBlock" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanPaymentToParticipantPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForEmployerContribution_425fd16d-ce2f-4728-942b-747be1115f7a_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForEmployerContribution" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Employer</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForEmployerContribution_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForEmployerContribution" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Change in Net Asset Available for Benefit, Increase from Employer Contribution, Cash and Noncash</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForEmployerContribution" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForEmployerContribution"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForEmployerContribution" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForEmployerContribution" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanNetAssetAvailableForBenefit_cc14bc49-f921-49a6-86b4-c7759943d376_totalLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanNetAssetAvailableForBenefit" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Net Assets Available for Benefits</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanNetAssetAvailableForBenefit_0e4f5295-b51c-4ced-a5b3-a58fa95084da_periodStartLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanNetAssetAvailableForBenefit" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xml:lang="en-US">Net assets available for benefits at beginning of year</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanNetAssetAvailableForBenefit_020f6d10-9675-4da3-bd7a-1b0c44fc8c5f_periodEndLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanNetAssetAvailableForBenefit" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Net assets available for benefits at end of year</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanNetAssetAvailableForBenefit_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanNetAssetAvailableForBenefit" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Net Asset Available for Benefit</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanNetAssetAvailableForBenefit" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanNetAssetAvailableForBenefit"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanNetAssetAvailableForBenefit" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanNetAssetAvailableForBenefit" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentLineItems_c52ec7ae-1deb-439a-a1ae-3822ef93ad65_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">EBP, Schedule of Asset Held for Investment [Line Items]</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentLineItems_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Schedule of Asset Held for Investment [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentLineItems" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanAccountingPolicyLineItems_8f7b3e64-252f-4513-8768-df1795d05bc2_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanAccountingPolicyLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">EBP, Accounting Policy [Line Items]</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanAccountingPolicyLineItems_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanAccountingPolicyLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Accounting Policy [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanAccountingPolicyLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanAccountingPolicyLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanAccountingPolicyLineItems" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanAccountingPolicyLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_cnmd_EBPNoteReceivableFromParticipantMaximumNumberOfHomeLoans_5924e829-776e-422d-a1f2-67bacf5deca6_terseLabel_en-US" xlink:label="lab_cnmd_EBPNoteReceivableFromParticipantMaximumNumberOfHomeLoans" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Maximum number of home loans allowed</link:label>
    <link:label id="lab_cnmd_EBPNoteReceivableFromParticipantMaximumNumberOfHomeLoans_label_en-US" xlink:label="lab_cnmd_EBPNoteReceivableFromParticipantMaximumNumberOfHomeLoans" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Note Receivable From Participant, Maximum Number Of Home Loans</link:label>
    <link:label id="lab_cnmd_EBPNoteReceivableFromParticipantMaximumNumberOfHomeLoans_documentation_en-US" xlink:label="lab_cnmd_EBPNoteReceivableFromParticipantMaximumNumberOfHomeLoans" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">EBP, Note Receivable From Participant, Maximum Number Of Home Loans</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnmd_EBPNoteReceivableFromParticipantMaximumNumberOfHomeLoans" xlink:href="cnmd-20260616.xsd#cnmd_EBPNoteReceivableFromParticipantMaximumNumberOfHomeLoans"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnmd_EBPNoteReceivableFromParticipantMaximumNumberOfHomeLoans" xlink:to="lab_cnmd_EBPNoteReceivableFromParticipantMaximumNumberOfHomeLoans" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanEmployerCommonStockMember_252c2c6d-4ff7-48dc-92ce-4cd62fd2be65_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanEmployerCommonStockMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Common Stock</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanEmployerCommonStockMember_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanEmployerCommonStockMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Employer, Common Stock [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanEmployerCommonStockMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanEmployerCommonStockMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanEmployerCommonStockMember" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanEmployerCommonStockMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanParticipantContributionAutomaticDeferralRate_aff7083b-6551-42d5-9721-580e8efabd5f_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanParticipantContributionAutomaticDeferralRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Automatic deferral rate</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanParticipantContributionAutomaticDeferralRate_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanParticipantContributionAutomaticDeferralRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Participant Contribution, Automatic, Deferral Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanParticipantContributionAutomaticDeferralRate" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanParticipantContributionAutomaticDeferralRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanParticipantContributionAutomaticDeferralRate" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanParticipantContributionAutomaticDeferralRate" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_e1ca4e5a-2bc8-4c88-b034-ef71ce5816a9_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueMeasurementsFairValueHierarchyDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value Hierarchy and NAV [Domain]</link:label>
    <link:label id="lab_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_label_en-US" xlink:label="lab_us-gaap_FairValueMeasurementsFairValueHierarchyDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value Hierarchy and NAV [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueMeasurementsFairValueHierarchyDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain" xlink:to="lab_us-gaap_FairValueMeasurementsFairValueHierarchyDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanTaxStatusAbstract_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanTaxStatusAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Tax Status [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanTaxStatusAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanTaxStatusAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanTaxStatusAbstract" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanTaxStatusAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecrease_8dda3606-ac19-4785-aa05-c466f4506e0a_totalLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecrease" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Net increase</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecrease_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecrease" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Change in Net Asset Available for Benefit, Increase (Decrease)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecrease" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecrease"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecrease" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecrease" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_CoverAbstract_label_en-US" xlink:label="lab_dei_CoverAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cover [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_CoverAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_CoverAbstract" xlink:to="lab_dei_CoverAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_MaximumMember_1026b91a-cd72-44fe-a5ef-3d7af1d997f0_terseLabel_en-US" xlink:label="lab_srt_MaximumMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Maximum</link:label>
    <link:label id="lab_srt_MaximumMember_label_en-US" xlink:label="lab_srt_MaximumMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Maximum [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MaximumMember" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_MaximumMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_MaximumMember" xlink:to="lab_srt_MaximumMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanParticipantContributionPretaxMaximumAnnualCompensationToTotalCompensationPercentage_16129ac2-18c4-4a6c-b770-77b070cb5995_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanParticipantContributionPretaxMaximumAnnualCompensationToTotalCompensationPercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Pretax, maximum annual compensation to total compensation, percentage</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanParticipantContributionPretaxMaximumAnnualCompensationToTotalCompensationPercentage_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanParticipantContributionPretaxMaximumAnnualCompensationToTotalCompensationPercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Participant Contribution, Pretax, Maximum Annual Compensation to Total Compensation, Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanParticipantContributionPretaxMaximumAnnualCompensationToTotalCompensationPercentage" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanParticipantContributionPretaxMaximumAnnualCompensationToTotalCompensationPercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanParticipantContributionPretaxMaximumAnnualCompensationToTotalCompensationPercentage" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanParticipantContributionPretaxMaximumAnnualCompensationToTotalCompensationPercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_MinimumMember_610060a3-e655-449b-bbed-f4a60be21751_terseLabel_en-US" xlink:label="lab_srt_MinimumMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Minimum</link:label>
    <link:label id="lab_srt_MinimumMember_label_en-US" xlink:label="lab_srt_MinimumMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Minimum [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MinimumMember" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_MinimumMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_MinimumMember" xlink:to="lab_srt_MinimumMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SubsequentEventTypeDomain_019e4fe7-39e9-7d30-b317-c6e0a47109df_terseLabel_en-US" xlink:label="lab_us-gaap_SubsequentEventTypeDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subsequent Event Type [Domain]</link:label>
    <link:label id="lab_us-gaap_SubsequentEventTypeDomain_label_en-US" xlink:label="lab_us-gaap_SubsequentEventTypeDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Subsequent Event Type [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTypeDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SubsequentEventTypeDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsequentEventTypeDomain" xlink:to="lab_us-gaap_SubsequentEventTypeDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentAbstract_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Schedule of Asset Held for Investment [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentAbstract" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityDomain_cbb73cbe-05bb-4dac-a5bf-88f62d55f4d6_terseLabel_en-US" xlink:label="lab_dei_EntityDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity [Domain]</link:label>
    <link:label id="lab_dei_EntityDomain_label_en-US" xlink:label="lab_dei_EntityDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Entity [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityDomain" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityDomain" xlink:to="lab_dei_EntityDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentIdentifierAxis_b1b2b087-ca4d-41ae-9da5-90cc630b51ea_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentIdentifierAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment, Identifier [Axis]</link:label>
    <link:label id="lab_us-gaap_InvestmentIdentifierAxis_label_en-US" xlink:label="lab_us-gaap_InvestmentIdentifierAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Identifier [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentIdentifierAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentIdentifierAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentIdentifierAxis" xlink:to="lab_us-gaap_InvestmentIdentifierAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanEmployerContributionMatchingPercentage_6fe7b807-124f-4347-8896-c00a8292edcc_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanEmployerContributionMatchingPercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Matching percentage</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanEmployerContributionMatchingPercentage_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanEmployerContributionMatchingPercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Employer Contribution, Matching Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanEmployerContributionMatchingPercentage" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanEmployerContributionMatchingPercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanEmployerContributionMatchingPercentage" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanEmployerContributionMatchingPercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanBasisOfAccountingPolicyTextBlock_e8a369fa-71ac-4d59-9327-6a8d2ed35c74_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanBasisOfAccountingPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Basis of Accounting</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanBasisOfAccountingPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanBasisOfAccountingPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Basis of Accounting [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanBasisOfAccountingPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanBasisOfAccountingPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanBasisOfAccountingPolicyTextBlock" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanBasisOfAccountingPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_cnmd_EBPNoteReceivableFromParticipantRepaymentPeriod_6c6e49e3-99db-413e-ac52-7688d158b1a1_terseLabel_en-US" xlink:label="lab_cnmd_EBPNoteReceivableFromParticipantRepaymentPeriod" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Note receivable from participant, repayment period, years</link:label>
    <link:label id="lab_cnmd_EBPNoteReceivableFromParticipantRepaymentPeriod_label_en-US" xlink:label="lab_cnmd_EBPNoteReceivableFromParticipantRepaymentPeriod" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Note Receivable From Participant, Repayment Period</link:label>
    <link:label id="lab_cnmd_EBPNoteReceivableFromParticipantRepaymentPeriod_documentation_en-US" xlink:label="lab_cnmd_EBPNoteReceivableFromParticipantRepaymentPeriod" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">EBP, Note Receivable From Participant, Repayment Period</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnmd_EBPNoteReceivableFromParticipantRepaymentPeriod" xlink:href="cnmd-20260616.xsd#cnmd_EBPNoteReceivableFromParticipantRepaymentPeriod"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnmd_EBPNoteReceivableFromParticipantRepaymentPeriod" xlink:to="lab_cnmd_EBPNoteReceivableFromParticipantRepaymentPeriod" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EbpRiskAndUncertaintyPolicyTextBlock_c11fc303-17c5-454c-b779-1b51258ab562_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EbpRiskAndUncertaintyPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Risks and Uncertainties</link:label>
    <link:label id="lab_us-gaap-ebp_EbpRiskAndUncertaintyPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap-ebp_EbpRiskAndUncertaintyPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Risk and Uncertainty [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EbpRiskAndUncertaintyPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EbpRiskAndUncertaintyPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EbpRiskAndUncertaintyPolicyTextBlock" xlink:to="lab_us-gaap-ebp_EbpRiskAndUncertaintyPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanTaxStatusLineItems_ae8b49f9-3953-4c72-aaf7-01b7e61920aa_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanTaxStatusLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">EBP, Tax Status [Line Items]</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanTaxStatusLineItems_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanTaxStatusLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Tax Status [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanTaxStatusLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanTaxStatusLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanTaxStatusLineItems" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanTaxStatusLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanStatementOfChangeInNetAssetAvailableForBenefitTable_65369061-ee08-4306-9af8-2a0baf341139_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanStatementOfChangeInNetAssetAvailableForBenefitTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">EBP, Statement of Change in Net Asset Available for Benefit [Table]</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanStatementOfChangeInNetAssetAvailableForBenefitTable_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanStatementOfChangeInNetAssetAvailableForBenefitTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Statement of Change in Net Asset Available for Benefit [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanStatementOfChangeInNetAssetAvailableForBenefitTable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanStatementOfChangeInNetAssetAvailableForBenefitTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanStatementOfChangeInNetAssetAvailableForBenefitTable" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanStatementOfChangeInNetAssetAvailableForBenefitTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_MutualFundMember_8da154b0-e85b-4aaa-97e0-8d0d3da70e69_terseLabel_en-US" xlink:label="lab_us-gaap_MutualFundMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Mutual Funds</link:label>
    <link:label id="lab_us-gaap_MutualFundMember_label_en-US" xlink:label="lab_us-gaap_MutualFundMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Mutual Fund [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MutualFundMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_MutualFundMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MutualFundMember" xlink:to="lab_us-gaap_MutualFundMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanTable_170a0975-942a-47fc-92df-dfae291b16c5_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">EBP, Description of Plan [Table]</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanTable_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Description of Plan [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanTable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanTable" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanInvestmentPolicyTextBlock_9bdbd3f0-fb09-427b-ac4a-783e86a3ff5e_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanInvestmentPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Valuation and Income Recognition</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanInvestmentPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanInvestmentPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Investment [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanInvestmentPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanInvestmentPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanInvestmentPolicyTextBlock" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanInvestmentPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_AmendmentFlag_cd43fba0-80c6-48b5-8e8f-d2b5c26fa39b_terseLabel_en-US" xlink:label="lab_dei_AmendmentFlag" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Amendment Flag</link:label>
    <link:label id="lab_dei_AmendmentFlag_label_en-US" xlink:label="lab_dei_AmendmentFlag" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Amendment Flag</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_AmendmentFlag"/>
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    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseForAdministrativeExpense_ee35ef98-8ef0-4cab-84ab-dbcd919328f3_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseForAdministrativeExpense" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Administrative expenses</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseForAdministrativeExpense_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseForAdministrativeExpense" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Change in Net Asset Available for Benefit, Decrease from Administrative Expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseForAdministrativeExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseForAdministrativeExpense"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseForAdministrativeExpense" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseForAdministrativeExpense" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DefinedBenefitPlanCommonCollectiveTrustMember_b46ee18b-0f08-4679-b6d0-20ca04d0e689_terseLabel_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanCommonCollectiveTrustMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Collective Investment Trusts</link:label>
    <link:label id="lab_us-gaap_DefinedBenefitPlanCommonCollectiveTrustMember_label_en-US" xlink:label="lab_us-gaap_DefinedBenefitPlanCommonCollectiveTrustMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Common Collective Trust [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DefinedBenefitPlanCommonCollectiveTrustMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DefinedBenefitPlanCommonCollectiveTrustMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DefinedBenefitPlanCommonCollectiveTrustMember" xlink:to="lab_us-gaap_DefinedBenefitPlanCommonCollectiveTrustMember" xlink:type="arc" order="1"/>
    <link:label id="lab_cnmd_EBP005Member_05824df8-8b99-4c56-89a8-e2d701848485_terseLabel_en-US" xlink:label="lab_cnmd_EBP005Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">EBP 005</link:label>
    <link:label id="lab_cnmd_EBP005Member_label_en-US" xlink:label="lab_cnmd_EBP005Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP 005 [Member]</link:label>
    <link:label id="lab_cnmd_EBP005Member_documentation_en-US" xlink:label="lab_cnmd_EBP005Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">EBP 005</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnmd_EBP005Member" xlink:href="cnmd-20260616.xsd#cnmd_EBP005Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnmd_EBP005Member" xlink:to="lab_cnmd_EBP005Member" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember_827f51df-711b-40dc-ab45-6f8836640828_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investments measured at NAV as a practical expedient</link:label>
    <link:label id="lab_us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember_label_en-US" xlink:label="lab_us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value Measured at Net Asset Value Per Share [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember" xlink:to="lab_us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanInvestmentFairValueAndNavTableTextBlock_72c2da36-a23d-4c4c-8d3d-32ce05868037_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanInvestmentFairValueAndNavTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment, Fair Value</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanInvestmentFairValueAndNavTableTextBlock_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanInvestmentFairValueAndNavTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Investment, Fair Value and NAV [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanInvestmentFairValueAndNavTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanInvestmentFairValueAndNavTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanInvestmentFairValueAndNavTableTextBlock" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanInvestmentFairValueAndNavTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecrease_25db7a35-e2f9-4730-b13f-d3488985e2ed_totalLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecrease" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total deductions</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecrease_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecrease" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Change in Net Asset Available for Benefit, Decrease</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecrease" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecrease"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecrease" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecrease" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanAssetHeldForInvestmentInvestmentExcludingPlanInterestInMasterTrustCurrentValue_22a66a3b-b5d7-4ab2-b220-b20308677359_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanAssetHeldForInvestmentInvestmentExcludingPlanInterestInMasterTrustCurrentValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Current Value</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanAssetHeldForInvestmentInvestmentExcludingPlanInterestInMasterTrustCurrentValue_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanAssetHeldForInvestmentInvestmentExcludingPlanInterestInMasterTrustCurrentValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Asset Held for Investment, Investment, Excluding Plan Interest in Master Trust, Current Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanAssetHeldForInvestmentInvestmentExcludingPlanInterestInMasterTrustCurrentValue" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanAssetHeldForInvestmentInvestmentExcludingPlanInterestInMasterTrustCurrentValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanAssetHeldForInvestmentInvestmentExcludingPlanInterestInMasterTrustCurrentValue" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanAssetHeldForInvestmentInvestmentExcludingPlanInterestInMasterTrustCurrentValue" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanStatementOfChangeInNetAssetAvailableForBenefitAbstract_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanStatementOfChangeInNetAssetAvailableForBenefitAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Statement of Change in Net Asset Available for Benefit [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanStatementOfChangeInNetAssetAvailableForBenefitAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanStatementOfChangeInNetAssetAvailableForBenefitAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanStatementOfChangeInNetAssetAvailableForBenefitAbstract" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanStatementOfChangeInNetAssetAvailableForBenefitAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanForfeitedNonvestedAccount_cc062318-741c-4155-9c43-dc8564e2bf0d_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanForfeitedNonvestedAccount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Forfeited nonvested account</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanForfeitedNonvestedAccount_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanForfeitedNonvestedAccount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Forfeited Nonvested Account</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanForfeitedNonvestedAccount" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanForfeitedNonvestedAccount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanForfeitedNonvestedAccount" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanForfeitedNonvestedAccount" xlink:type="arc" order="1"/>
    <link:label id="lab_cnmd_EBPNoteReceivableFromParticipantMaximumNumberOfGeneralLoans_058c8917-753c-4578-840a-dec3caca6c2d_terseLabel_en-US" xlink:label="lab_cnmd_EBPNoteReceivableFromParticipantMaximumNumberOfGeneralLoans" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Maximum number of general loans allowed</link:label>
    <link:label id="lab_cnmd_EBPNoteReceivableFromParticipantMaximumNumberOfGeneralLoans_label_en-US" xlink:label="lab_cnmd_EBPNoteReceivableFromParticipantMaximumNumberOfGeneralLoans" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Note Receivable From Participant, Maximum Number Of General Loans</link:label>
    <link:label id="lab_cnmd_EBPNoteReceivableFromParticipantMaximumNumberOfGeneralLoans_documentation_en-US" xlink:label="lab_cnmd_EBPNoteReceivableFromParticipantMaximumNumberOfGeneralLoans" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">EBP, Note Receivable From Participant, Maximum Number Of General Loans</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnmd_EBPNoteReceivableFromParticipantMaximumNumberOfGeneralLoans" xlink:href="cnmd-20260616.xsd#cnmd_EBPNoteReceivableFromParticipantMaximumNumberOfGeneralLoans"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnmd_EBPNoteReceivableFromParticipantMaximumNumberOfGeneralLoans" xlink:to="lab_cnmd_EBPNoteReceivableFromParticipantMaximumNumberOfGeneralLoans" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanForfeitedNonvestedAccountDecreaseForEmployerContribution_d7e6d025-3a2c-4651-9fb5-27ae51e91d25_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanForfeitedNonvestedAccountDecreaseForEmployerContribution" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Forfeited nonvested account, decrease from employer contribution</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanForfeitedNonvestedAccountDecreaseForEmployerContribution_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanForfeitedNonvestedAccountDecreaseForEmployerContribution" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Forfeited Nonvested Account, Decrease from Employer Contribution</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanForfeitedNonvestedAccountDecreaseForEmployerContribution" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanForfeitedNonvestedAccountDecreaseForEmployerContribution"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanForfeitedNonvestedAccountDecreaseForEmployerContribution" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanForfeitedNonvestedAccountDecreaseForEmployerContribution" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanStatementOfNetAssetAvailableForBenefitAbstract_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanStatementOfNetAssetAvailableForBenefitAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Statement of Net Asset Available for Benefit [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanStatementOfNetAssetAvailableForBenefitAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanStatementOfNetAssetAvailableForBenefitAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanStatementOfNetAssetAvailableForBenefitAbstract" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanStatementOfNetAssetAvailableForBenefitAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanTextBlock_c4ced3d8-61cd-41a3-8240-7660ae6c2fcf_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Establishment and Description of Plan</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanTextBlock_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Description of Plan [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanTextBlock" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanSummaryOfAccountingPolicyTextBlock_85f86b6b-d38c-4812-b319-6eeab70e5e4c_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanSummaryOfAccountingPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Significant Accounting Policies</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanSummaryOfAccountingPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanSummaryOfAccountingPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Summary of Accounting Policy [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanSummaryOfAccountingPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanSummaryOfAccountingPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanSummaryOfAccountingPolicyTextBlock" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanSummaryOfAccountingPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForParticipantContribution_4290b709-dd78-4cbe-9d3c-51a24142fadc_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForParticipantContribution" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Participants</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForParticipantContribution_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForParticipantContribution" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Change in Net Asset Available for Benefit, Increase from Participant Contribution</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForParticipantContribution" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForParticipantContribution"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForParticipantContribution" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForParticipantContribution" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantPolicyTextBlock_7750087d-3644-49d1-a743-2c6ffc37f142_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Notes Receivable from Participants</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Note Receivable from Participant [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantPolicyTextBlock" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncrease_cc88c7ae-26e4-41fc-a6bf-da31ea625131_totalLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncrease" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total additions</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncrease_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncrease" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Change in Net Asset Available for Benefit, Increase</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncrease" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncrease"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncrease" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncrease" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanStatementOfNetAssetAvailableForBenefitLineItems_463d9026-f4ce-478c-981f-c2d7eee188db_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanStatementOfNetAssetAvailableForBenefitLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">EBP, Statement of Net Asset Available for Benefit [Line Items]</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanStatementOfNetAssetAvailableForBenefitLineItems_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanStatementOfNetAssetAvailableForBenefitLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Statement of Net Asset Available for Benefit [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanStatementOfNetAssetAvailableForBenefitLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanStatementOfNetAssetAvailableForBenefitLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanStatementOfNetAssetAvailableForBenefitLineItems" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanStatementOfNetAssetAvailableForBenefitLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityCentralIndexKey_87b005c5-7b7c-49f7-a873-07ea8d0dc156_terseLabel_en-US" xlink:label="lab_dei_EntityCentralIndexKey" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Central Index Key</link:label>
    <link:label id="lab_dei_EntityCentralIndexKey_label_en-US" xlink:label="lab_dei_EntityCentralIndexKey" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Entity Central Index Key</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityCentralIndexKey"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityCentralIndexKey" xlink:to="lab_dei_EntityCentralIndexKey" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanInvestmentExcludingPlanInterestInMasterTrustFairValue_1646b751-426e-4a90-9cc8-ac28f5bbda0e_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanInvestmentExcludingPlanInterestInMasterTrustFairValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total investments, at fair value</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanInvestmentExcludingPlanInterestInMasterTrustFairValue_da793dfc-48a4-46d0-9df7-cb94875da2cb_verboseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanInvestmentExcludingPlanInterestInMasterTrustFairValue" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Fair Value</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanInvestmentExcludingPlanInterestInMasterTrustFairValue_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanInvestmentExcludingPlanInterestInMasterTrustFairValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Investment, Excluding Plan Interest in Master Trust, Fair Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanInvestmentExcludingPlanInterestInMasterTrustFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanInvestmentExcludingPlanInterestInMasterTrustFairValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanInvestmentExcludingPlanInterestInMasterTrustFairValue" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanInvestmentExcludingPlanInterestInMasterTrustFairValue" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_LegalEntityAxis_eff24ec6-9182-4d0b-9b44-8c8926d20cf0_terseLabel_en-US" xlink:label="lab_dei_LegalEntityAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Legal Entity [Axis]</link:label>
    <link:label id="lab_dei_LegalEntityAxis_label_en-US" xlink:label="lab_dei_LegalEntityAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Legal Entity [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LegalEntityAxis" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_LegalEntityAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_LegalEntityAxis" xlink:to="lab_dei_LegalEntityAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityTaxIdentificationNumber_9534b29f-2bf8-4eab-93d8-7a9bda954f81_terseLabel_en-US" xlink:label="lab_dei_EntityTaxIdentificationNumber" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity tax identification number</link:label>
    <link:label id="lab_dei_EntityTaxIdentificationNumber_label_en-US" xlink:label="lab_dei_EntityTaxIdentificationNumber" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Entity Tax Identification Number</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityTaxIdentificationNumber" xlink:to="lab_dei_EntityTaxIdentificationNumber" xlink:type="arc" order="1"/>
    <link:label id="lab_cnmd_EBPCompanyContributionVestingServicePeriod_7fca2af9-0855-44f8-bbc1-78c7a1128892_terseLabel_en-US" xlink:label="lab_cnmd_EBPCompanyContributionVestingServicePeriod" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Vesting period</link:label>
    <link:label id="lab_cnmd_EBPCompanyContributionVestingServicePeriod_label_en-US" xlink:label="lab_cnmd_EBPCompanyContributionVestingServicePeriod" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Company Contribution Vesting Service Period</link:label>
    <link:label id="lab_cnmd_EBPCompanyContributionVestingServicePeriod_documentation_en-US" xlink:label="lab_cnmd_EBPCompanyContributionVestingServicePeriod" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Minimum Vesting service period for company contribution and/ or investment earning to the participant in Company Matching Contributions, Fixed Rate Contributions, Discretionary Profit-Sharing Contributions, Qualified Non-Elective Contributions, and Disability Contributions.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnmd_EBPCompanyContributionVestingServicePeriod" xlink:href="cnmd-20260616.xsd#cnmd_EBPCompanyContributionVestingServicePeriod"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnmd_EBPCompanyContributionVestingServicePeriod" xlink:to="lab_cnmd_EBPCompanyContributionVestingServicePeriod" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanAccountingPolicyAbstract_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanAccountingPolicyAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Accounting Policy, Accounting Standard Update, and Change in Accounting Principle [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanAccountingPolicyAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanAccountingPolicyAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanAccountingPolicyAbstract" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanAccountingPolicyAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanInvestmentInterestRate_330e39df-7b2e-4243-a244-f86a4e7529d2_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanInvestmentInterestRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest rate</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanInvestmentInterestRate_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanInvestmentInterestRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Investment, Interest Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanInvestmentInterestRate" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanInvestmentInterestRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanInvestmentInterestRate" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanInvestmentInterestRate" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanPlanNumber_8edeabc5-281f-4b57-93c7-7f9d7eb79379_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanPlanNumber" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Plan number</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanPlanNumber_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanPlanNumber" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Plan Number</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanPlanNumber" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanPlanNumber"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanPlanNumber" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanPlanNumber" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForContributionAbstract_763bbfbb-f20c-4f63-a7a6-d0bb60af6169_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForContributionAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Contributions:</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForContributionAbstract_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForContributionAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Change in Net Asset Available for Benefit, Increase from Contribution [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForContributionAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForContributionAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForContributionAbstract" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForContributionAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_DocumentType_3334ad08-4ba6-4d4e-ab0b-548e8e328a79_terseLabel_en-US" xlink:label="lab_dei_DocumentType" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Document Type</link:label>
    <link:label id="lab_dei_DocumentType_label_en-US" xlink:label="lab_dei_DocumentType" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Document Type</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentType"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentType" xlink:to="lab_dei_DocumentType" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanStatementOfNetAssetAvailableForBenefitTable_192da9c6-23d4-488f-841b-ed4660a8c359_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanStatementOfNetAssetAvailableForBenefitTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">EBP, Statement of Net Asset Available for Benefit [Table]</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanStatementOfNetAssetAvailableForBenefitTable_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanStatementOfNetAssetAvailableForBenefitTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Statement of Net Asset Available for Benefit [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanStatementOfNetAssetAvailableForBenefitTable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanStatementOfNetAssetAvailableForBenefitTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanStatementOfNetAssetAvailableForBenefitTable" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanStatementOfNetAssetAvailableForBenefitTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanUseOfEstimatePolicyTextBlock_e96b9862-12e4-4ea1-83c6-40487672e474_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanUseOfEstimatePolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Use of Estimates</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanUseOfEstimatePolicyTextBlock_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanUseOfEstimatePolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Use of Estimate [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanUseOfEstimatePolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanUseOfEstimatePolicyTextBlock"/>
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    <link:label id="lab_us-gaap_SubsequentEventTypeAxis_019e4fe7-39e9-731d-945b-62fb9133ecb3_terseLabel_en-US" xlink:label="lab_us-gaap_SubsequentEventTypeAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subsequent Event Type [Axis]</link:label>
    <link:label id="lab_us-gaap_SubsequentEventTypeAxis_label_en-US" xlink:label="lab_us-gaap_SubsequentEventTypeAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Subsequent Event Type [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTypeAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SubsequentEventTypeAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsequentEventTypeAxis" xlink:to="lab_us-gaap_SubsequentEventTypeAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_RangeAxis_961a7fd7-b8d0-43af-92bf-46e3f342223d_terseLabel_en-US" xlink:label="lab_srt_RangeAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Statistical Measurement [Axis]</link:label>
    <link:label id="lab_srt_RangeAxis_label_en-US" xlink:label="lab_srt_RangeAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Statistical Measurement [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeAxis" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_RangeAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_RangeAxis" xlink:to="lab_srt_RangeAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseAbstract_bc5e4e6f-ac21-46ee-9fde-f739cdc02bf2_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Deductions from net assets attributed to:</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseAbstract_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Change in Net Asset Available for Benefit, Decrease [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseAbstract" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipant_4140b175-648b-4076-a8d0-4125387b934e_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipant" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Notes Receivable from Participants</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipant_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipant" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Note Receivable from Participant</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipant" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipant"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipant" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipant" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueInputsLevel2Member_019e8db2-eae0-7f2b-8e53-7610bef08c69_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueInputsLevel2Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Level 2</link:label>
    <link:label id="lab_us-gaap_FairValueInputsLevel2Member_label_en-US" xlink:label="lab_us-gaap_FairValueInputsLevel2Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Inputs, Level 2 [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueInputsLevel2Member" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueInputsLevel2Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueInputsLevel2Member" xlink:to="lab_us-gaap_FairValueInputsLevel2Member" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentTableTextBlock_8b1dccd9-40de-4f78-ae35-a10b7b725c61_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule H, Line 4i &#8211; Schedule of Assets</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentTableTextBlock_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Schedule of Asset Held for Investment [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentTableTextBlock" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseAbstract_4ce00fb7-9c66-479c-b7f5-977fb0022ffb_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Additions to net assets attributed to:</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseAbstract_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Change in Net Asset Available for Benefit, Increase [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseAbstract" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecreaseForGainLossOnInvestment_101f8d2a-8c2b-40af-8af2-c85370d62946_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecreaseForGainLossOnInvestment" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net appreciation in fair value of investments</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecreaseForGainLossOnInvestment_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecreaseForGainLossOnInvestment" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Change in Net Asset Available for Benefit, Increase (Decrease) from Gain (Loss) on Investment</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecreaseForGainLossOnInvestment" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecreaseForGainLossOnInvestment"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecreaseForGainLossOnInvestment" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecreaseForGainLossOnInvestment" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanAccountingPolicyTable_45c55e32-2683-438d-aedb-10c7839690ac_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanAccountingPolicyTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">EBP, Accounting Policy [Table]</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanAccountingPolicyTable_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanAccountingPolicyTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Accounting Policy [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanAccountingPolicyTable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanAccountingPolicyTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanAccountingPolicyTable" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanAccountingPolicyTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentTypeCategorizationMember_f1b5b30d-7463-4a08-8806-4ef0825334d9_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentTypeCategorizationMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investments [Domain]</link:label>
    <link:label id="lab_us-gaap_InvestmentTypeCategorizationMember_label_en-US" xlink:label="lab_us-gaap_InvestmentTypeCategorizationMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investments [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentTypeCategorizationMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentTypeCategorizationMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentTypeCategorizationMember" xlink:to="lab_us-gaap_InvestmentTypeCategorizationMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanSelfDirectedBrokerageAccountMember_e862b182-f744-49ad-b110-0b21cc6ef3bd_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanSelfDirectedBrokerageAccountMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Self-directed Brokerage Account</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanSelfDirectedBrokerageAccountMember_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanSelfDirectedBrokerageAccountMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Self-Directed Brokerage Account [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanSelfDirectedBrokerageAccountMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanSelfDirectedBrokerageAccountMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanSelfDirectedBrokerageAccountMember" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanSelfDirectedBrokerageAccountMember" xlink:type="arc" order="1"/>
    <link:label id="lab_cnmd_EBPParticipantLoanBasisSpreadOnVariableRate_de146e24-f99e-4130-be65-9e4d8c213697_terseLabel_en-US" xlink:label="lab_cnmd_EBPParticipantLoanBasisSpreadOnVariableRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Basis spread on variable rate</link:label>
    <link:label id="lab_cnmd_EBPParticipantLoanBasisSpreadOnVariableRate_label_en-US" xlink:label="lab_cnmd_EBPParticipantLoanBasisSpreadOnVariableRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Participant Loan, Basis Spread On Variable Rate</link:label>
    <link:label id="lab_cnmd_EBPParticipantLoanBasisSpreadOnVariableRate_documentation_en-US" xlink:label="lab_cnmd_EBPParticipantLoanBasisSpreadOnVariableRate" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">EBP, Participant Loan, Basis Spread On Variable Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cnmd_EBPParticipantLoanBasisSpreadOnVariableRate" xlink:href="cnmd-20260616.xsd#cnmd_EBPParticipantLoanBasisSpreadOnVariableRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cnmd_EBPParticipantLoanBasisSpreadOnVariableRate" xlink:to="lab_cnmd_EBPParticipantLoanBasisSpreadOnVariableRate" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_DocumentInformationTable_50430c7c-3839-415d-8fb5-206130a53266_terseLabel_en-US" xlink:label="lab_dei_DocumentInformationTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Document Information [Table]</link:label>
    <link:label id="lab_dei_DocumentInformationTable_label_en-US" xlink:label="lab_dei_DocumentInformationTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Document Information [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentInformationTable" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentInformationTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentInformationTable" xlink:to="lab_dei_DocumentInformationTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanStatementOfChangeInNetAssetAvailableForBenefitLineItems_62de7f9c-3c5c-4557-86c2-464bf7ff4adb_terseLabel_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanStatementOfChangeInNetAssetAvailableForBenefitLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">EBP, Statement of Change in Net Asset Available for Benefit [Line Items]</link:label>
    <link:label id="lab_us-gaap-ebp_EmployeeBenefitPlanStatementOfChangeInNetAssetAvailableForBenefitLineItems_label_en-US" xlink:label="lab_us-gaap-ebp_EmployeeBenefitPlanStatementOfChangeInNetAssetAvailableForBenefitLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Statement of Change in Net Asset Available for Benefit [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap-ebp_EmployeeBenefitPlanStatementOfChangeInNetAssetAvailableForBenefitLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanStatementOfChangeInNetAssetAvailableForBenefitLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap-ebp_EmployeeBenefitPlanStatementOfChangeInNetAssetAvailableForBenefitLineItems" xlink:to="lab_us-gaap-ebp_EmployeeBenefitPlanStatementOfChangeInNetAssetAvailableForBenefitLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueInputsLevel1Member_2d4b803d-0ae4-440b-8556-b14119cc923e_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueInputsLevel1Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Level 1</link:label>
    <link:label id="lab_us-gaap_FairValueInputsLevel1Member_label_en-US" xlink:label="lab_us-gaap_FairValueInputsLevel1Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Inputs, Level 1 [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueInputsLevel1Member" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueInputsLevel1Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueInputsLevel1Member" xlink:to="lab_us-gaap_FairValueInputsLevel1Member" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityRegistrantName_49e68028-2725-4f85-bd2f-a5f91ecfac64_terseLabel_en-US" xlink:label="lab_dei_EntityRegistrantName" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Registrant Name</link:label>
    <link:label id="lab_dei_EntityRegistrantName_label_en-US" xlink:label="lab_dei_EntityRegistrantName" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Entity Registrant Name</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityRegistrantName"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityRegistrantName" xlink:to="lab_dei_EntityRegistrantName" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CommonStockMember_0e94471b-31f8-43fd-8d03-7a5c87ef200c_terseLabel_en-US" xlink:label="lab_us-gaap_CommonStockMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Common Stock</link:label>
    <link:label id="lab_us-gaap_CommonStockMember_label_en-US" xlink:label="lab_us-gaap_CommonStockMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Common Stock [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommonStockMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommonStockMember" xlink:to="lab_us-gaap_CommonStockMember" xlink:type="arc" order="1"/>
    <link:label id="lab_cnmd_EBPNoteReceivableFromParticipantPrimaryResidenceLoanRepaymentPeriod_89ade55b-eca0-40fb-9303-d1e50efc99cd_terseLabel_en-US" xlink:label="lab_cnmd_EBPNoteReceivableFromParticipantPrimaryResidenceLoanRepaymentPeriod" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Note receivable from participant, primary residence loan, repayment period, years</link:label>
    <link:label id="lab_cnmd_EBPNoteReceivableFromParticipantPrimaryResidenceLoanRepaymentPeriod_label_en-US" xlink:label="lab_cnmd_EBPNoteReceivableFromParticipantPrimaryResidenceLoanRepaymentPeriod" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EBP, Note Receivable From Participant, Primary Residence Loan, Repayment Period,</link:label>
    <link:label id="lab_cnmd_EBPNoteReceivableFromParticipantPrimaryResidenceLoanRepaymentPeriod_documentation_en-US" xlink:label="lab_cnmd_EBPNoteReceivableFromParticipantPrimaryResidenceLoanRepaymentPeriod" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">EBP, Note Receivable From Participant, Primary Residence Loan, Repayment Period,</link:label>
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