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Revenues and Allowances - Reserves for Variable Consideration and Credit Risk (Details) - USD ($) $ in Thousands	3 Months Ended
	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

X

- 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

Name:	crai_ReimbursableExpensesSubjectToReimbursement
Namespace Prefix:	crai_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- 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

X

- References

No definition available.

+ Details

Name:	us-gaap_RevenueFromContractWithCustomerAbstract
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration