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Leases (Details) (USD $)
12 Months Ended
Jan. 03, 2015
Dec. 28, 2013
Dec. 29, 2012
Rental Commitments      
2015 $ 9,683,000us-gaap_OperatingLeasesFutureMinimumPaymentsDueCurrent    
2016 7,160,000us-gaap_OperatingLeasesFutureMinimumPaymentsDueInTwoYears    
2017 5,991,000us-gaap_OperatingLeasesFutureMinimumPaymentsDueInThreeYears    
2018 5,020,000us-gaap_OperatingLeasesFutureMinimumPaymentsDueInFourYears    
2019 4,172,000us-gaap_OperatingLeasesFutureMinimumPaymentsDueInFiveYears    
Thereafter 27,329,000us-gaap_OperatingLeasesFutureMinimumPaymentsDueThereafter    
Rental commitments, gross 59,355,000us-gaap_OperatingLeasesFutureMinimumPaymentsDue    
Future minimum rentals under sublease arrangements (457,000)us-gaap_OperatingLeasesFutureMinimumPaymentsDueFutureMinimumSubleaseRentals    
Rental commitments 58,898,000crai_OperatingLeasesNetFutureMinimumPaymentsDue    
Additional disclosures      
Rent expense 10,000,000us-gaap_OperatingLeasesRentExpenseNet 9,600,000us-gaap_OperatingLeasesRentExpenseNet 12,400,000us-gaap_OperatingLeasesRentExpenseNet
Restructuring expenses     6,700,000us-gaap_RestructuringCharges
Standby letters of credit in support of the minimum future lease payments 1,300,000us-gaap_LettersOfCreditOutstandingAmount    
Rent expense      
Additional disclosures      
Restructuring expenses $ 0us-gaap_RestructuringCharges
/ us-gaap_IncomeStatementLocationAxis
= crai_RentExpenseMember
$ 0us-gaap_RestructuringCharges
/ us-gaap_IncomeStatementLocationAxis
= crai_RentExpenseMember
$ 900,000us-gaap_RestructuringCharges
/ us-gaap_IncomeStatementLocationAxis
= crai_RentExpenseMember