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Credit Agreement (Details) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Jan. 03, 2015
Senior Loan Agreement  
Amounts outstanding under letters of credit $ 1.3us-gaap_LettersOfCreditOutstandingAmount
Revolving credit facility  
Senior Loan Agreement  
Revolving credit facility, maximum capacity 125.0us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_RevolvingCreditFacilityMember
Amount outstanding under revolving line of credit 0us-gaap_LineOfCredit
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_RevolvingCreditFacilityMember
Amounts outstanding under letters of credit 1.3us-gaap_LettersOfCreditOutstandingAmount
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_RevolvingCreditFacilityMember
Percentage of stock of domestic subsidiaries pledged as collateral for borrowings 100.00%crai_LineOfCreditFacilityCollateralPercentageOfDomesticSubsidiariesStock
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_RevolvingCreditFacilityMember
Percentage of stock of foreign subsidiaries pledged as collateral for borrowings 65.00%crai_LineOfCreditFacilityCollateralPercentageOfForeignSubsidiariesStock
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_RevolvingCreditFacilityMember
Value of stock in net assets pledged as collateral for borrowings 6.4crai_LineOfCreditFacilityCollateralValueOfStockInNetAssets
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_RevolvingCreditFacilityMember
Ratio of consolidated interest expense to consolidated EBITDA 2.5crai_DebtInstrumentCovenantConsolidatedInterestCoverageRatio
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_RevolvingCreditFacilityMember
Ratio of consolidated debt to consolidated EBITDA 3.0crai_DebtInstrumentCovenantRatioConsolidatedDebtToConsolidatedEBITDA
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_RevolvingCreditFacilityMember
Revolving credit facility | Minimum  
Senior Loan Agreement  
Commitment fee payable on the unused portion of the credit facility (as a percent) 0.25%us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_RevolvingCreditFacilityMember
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
Revolving credit facility | Maximum  
Senior Loan Agreement  
Commitment fee payable on the unused portion of the credit facility (as a percent) 0.375%us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_RevolvingCreditFacilityMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
Revolving credit facility | Base rate  
Senior Loan Agreement  
Variable rate basis base rate
Revolving credit facility | Base rate | Minimum  
Senior Loan Agreement  
Interest margin (as a percent) 0.50%us-gaap_DebtInstrumentBasisSpreadOnVariableRate1
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_RevolvingCreditFacilityMember
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
/ us-gaap_VariableRateAxis
= us-gaap_BaseRateMember
Revolving credit facility | Base rate | Maximum  
Senior Loan Agreement  
Interest margin (as a percent) 1.50%us-gaap_DebtInstrumentBasisSpreadOnVariableRate1
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_RevolvingCreditFacilityMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
/ us-gaap_VariableRateAxis
= us-gaap_BaseRateMember
Revolving credit facility | Eurocurrency rate  
Senior Loan Agreement  
Variable rate basis eurocurrency rate
Revolving credit facility | Eurocurrency rate | Minimum  
Senior Loan Agreement  
Interest margin (as a percent) 1.50%us-gaap_DebtInstrumentBasisSpreadOnVariableRate1
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_RevolvingCreditFacilityMember
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
/ us-gaap_VariableRateAxis
= us-gaap_EurodollarMember
Revolving credit facility | Eurocurrency rate | Maximum  
Senior Loan Agreement  
Interest margin (as a percent) 2.50%us-gaap_DebtInstrumentBasisSpreadOnVariableRate1
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_RevolvingCreditFacilityMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
/ us-gaap_VariableRateAxis
= us-gaap_EurodollarMember
Letters of credit  
Senior Loan Agreement  
Revolving credit facility, maximum capacity $ 15.0us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_LetterOfCreditMember