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Revenues and Allowances (Tables)
 3 Months Ended
Apr. 01, 2023
Revenue from Contract with Customer [Abstract]  
Schedule of disaggregate CRA's revenue by type of contract and geographic location
The following tables disaggregate CRA’s revenue by type of contract and geographic location (in thousands):
Fiscal Quarter Ended
Type of ContractApril 1,
2023		April 2,
2022
Consulting services revenues:
Fixed-price$26,777 $28,773 
Time-and-materials126,068 119,609 
Total$152,845 $148,382 
Fiscal Quarter Ended
Geographic BreakdownApril 1,
2023		April 2,
2022
Consulting services revenues:
United States$117,872 $116,919 
United Kingdom25,649 22,410 
Other9,324 9,053 
Total$152,845 $148,382 
Schedule of bad debt expense, net of recoveries The following table presents CRA's bad debt expense, net of recoveries of previously written off allowances (in thousands):
Fiscal Quarter Ended
April 1,
2023		April 2,
2022
Bad debt expense (recovery), net$— $(121)
Schedule of expenses are subject to reimbursement The following expenses are subject to reimbursement (in thousands):
Fiscal Quarter Ended
April 1,
2023		April 2,
2022
Reimbursable expenses$13,981 $16,204 
Schedule of opening and closing balances and result of changes in contract liability balance (in thousands) The following table presents the closing balances of CRA's contract liabilities (in thousands):
April 1,
2023		December 31,
2022
Contract liabilities$3,790 $6,977 
CRA recognized the following revenue that was included in the contract liabilities balance as of the opening of the respective period or for performance obligations satisfied in previous periods (in thousands):
Fiscal Quarter Ended
April 1,
2023		April 2,
2022
Amounts included in contract liabilities at the beginning of the period$5,139 $6,543 
Performance obligations satisfied in previous periods$2,638 $1,665