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Revenues and Allowances - Reserves for Variable Consideration and Credit Risk (Details) - USD ($) $ in Thousands | 3 Months Ended
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Apr. 01, 2023 | Apr. 02, 2022
Revenue from Contract with Customer [Abstract] |  |
Bad debt expense (recovery), net | $ 0 | $ (121)
Reimbursable expenses | $ 13,981 | $ 16,204

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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 -Publisher FASB -Name Accounting Standards Codification -Topic 606 -SubTopic 10 -Section 50 -Paragraph 4 -Subparagraph (b) -URI https://asc.fasb.org/extlink&oid=126920106&loc=SL49130543-203045 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 606 -SubTopic 10 -Section 45 -Paragraph 4 -URI https://asc.fasb.org/extlink&oid=126919976&loc=SL49130534-203044 + 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