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Revenues and Allowances - Reserves for Variable Consideration and Credit Risk (Details) - USD ($) $ in Thousands | 3 Months Ended | 6 Months Ended
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Jul. 01, 2023 | Jul. 02, 2022 | Jul. 01, 2023 | Jul. 02, 2022
Revenue from Contract with Customer [Abstract] |  |  |  |
Bad debt expense (recovery), net | $ 392 | $ (141) | $ 392 | $ (262)
Reimbursable expenses | $ 17,252 | $ 16,441 | $ 31,233 | $ 32,645

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- Definition Amount of reimbursable expenses, which include expenses for travel and other out-of-pocket expenses, outside consultants, and other reimbursable expenses. Revenues include reimbursable expenses. + References No definition available. + Details
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Namespace Prefix: | crai_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Amount of expense (reversal of expense) for expected credit loss on right to consideration in exchange for good or service transferred to customer when right to consideration is unconditional. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 606 -SubTopic 10 -Name Accounting Standards Codification -Section 45 -Paragraph 4 -Publisher FASB -URI https://asc.fasb.org//1943274/2147479837/606-10-45-4 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 606 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 4 -Subparagraph (b) -Publisher FASB -URI https://asc.fasb.org//1943274/2147479806/606-10-50-4 + Details
Name: | us-gaap_ContractWithCustomerReceivableCreditLossExpenseReversal
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- References No definition available. + Details
Name: | us-gaap_RevenueFromContractWithCustomerAbstract
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration