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Revenues and Allowances (Tables)
 6 Months Ended
Jul. 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 EndedFiscal Year-to-Date
Period Ended
Type of ContractJuly 1,
2023		July 2,
2022		July 1,
2023		July 2,
2022
Consulting services revenues:
Fixed-price$28,082 $27,541 $54,859 $56,314 
Time-and-materials133,883 121,561 259,951 241,170 
Total$161,965 $149,102 $314,810 $297,484 
Fiscal Quarter EndedFiscal Year-to-Date
Period Ended
Geographic BreakdownJuly 1,
2023		July 2,
2022		July 1,
2023		July 2,
2022
Consulting services revenues:
United States$126,894 $120,168 $244,766 $237,087 
United Kingdom26,396 20,843 52,045 43,253 
Other8,675 8,091 17,999 17,144 
Total$161,965 $149,102 $314,810 $297,484 
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 EndedFiscal Year-to-Date
Period Ended
July 1,
2023		July 2,
2022		July 1,
2023		July 2,
2022
Bad debt expense (recovery), net$392 $(141)$392 $(262)
Schedule of expenses are subject to reimbursement The following expenses are subject to reimbursement (in thousands):
Fiscal Quarter EndedFiscal Year-to-Date
Period Ended
July 1,
2023		July 2,
2022		July 1,
2023		July 2,
2022
Reimbursable expenses$17,252 $16,441 $31,233 $32,645 
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):
July 1,
2023		December 31,
2022
Contract liabilities$3,213 $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 EndedFiscal Year-to-Date
Period Ended
July 1,
2023		July 2,
2022		July 1,
2023		July 2,
2022
Amounts included in contract liabilities at the beginning of the period$2,832 $3,331 $6,194 $7,656 
Performance obligations satisfied in previous periods$3,298 $2,628 $2,744 $2,150