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Note 14 - Employee Benefit Plans - Summary of Accumulated Benefit Obligation (Details) - USD ($) $ in Thousands | Dec. 31, 2023 | Dec. 31, 2022
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Defined Benefit Plan, Accumulated Benefit Obligation | $ 2,360 | $ 226
Aggregate market value | $ 2,424 | $ 220

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- Definition Amount of aggregate market value of benefits attributed to employee service rendered + References No definition available. + Details
Name: | cvti_DefinedBenefitPlanAggregateMarketValue
Namespace Prefix: | cvti_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- Definition Amount of actuarial present value of benefits attributed to employee service rendered, excluding assumptions about future compensation level. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 715 -SubTopic 20 -Name Accounting Standards Codification -Section 50 -Paragraph 1 -Subparagraph (e) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480506/715-20-50-1 + Details
Name: | us-gaap_DefinedBenefitPlanAccumulatedBenefitObligation
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant