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Income Taxes (Detail 2) (USD $)
 12 Months Ended
Jan. 03, 2015
Dec. 28, 2013
Deferred tax assets:    
Accrued compensation and related expense $ 23,876,000us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefits $ 21,064,000us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefits
Tax basis in excess of financial basis of net accounts receivable 2,065,000us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsAllowanceForDoubtfulAccounts 2,363,000us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsAllowanceForDoubtfulAccounts
Net operating loss carryforwards 5,201,000us-gaap_DeferredTaxAssetsOperatingLossCarryforwards 5,421,000us-gaap_DeferredTaxAssetsOperatingLossCarryforwards
Tax basis in excess of financial basis of fixed assets 19,000us-gaap_DeferredTaxAssetsPropertyPlantAndEquipment 1,489,000us-gaap_DeferredTaxAssetsPropertyPlantAndEquipment
Accrued expenses and other 967,000crai_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsAccruedLiabilitiesAndOther 902,000crai_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsAccruedLiabilitiesAndOther
Total gross deferred tax assets 32,128,000us-gaap_DeferredTaxAssetsGross 31,239,000us-gaap_DeferredTaxAssetsGross
Less: valuation allowance (4,912,000)us-gaap_DeferredTaxAssetsValuationAllowance (6,101,000)us-gaap_DeferredTaxAssetsValuationAllowance
Total deferred tax assets net of valuation allowance 27,216,000us-gaap_DeferredTaxAssetsNet 25,138,000us-gaap_DeferredTaxAssetsNet
Deferred tax liabilities:    
Tax basis in excess of financial basis of debentures 5,708,000us-gaap_DeferredTaxLiabilitiesFinancingArrangements 2,938,000us-gaap_DeferredTaxLiabilitiesFinancingArrangements
Excess tax over book amortization 3,844,000us-gaap_DeferredTaxLiabilitiesGoodwillAndIntangibleAssetsIntangibleAssets 5,024,000us-gaap_DeferredTaxLiabilitiesGoodwillAndIntangibleAssetsIntangibleAssets
Total deferred tax liabilities 9,552,000us-gaap_DeferredIncomeTaxLiabilities 7,962,000us-gaap_DeferredIncomeTaxLiabilities
Net deferred tax assets 17,664,000us-gaap_DeferredTaxAssetsLiabilitiesNet 17,176,000us-gaap_DeferredTaxAssetsLiabilitiesNet
Valuation allowance    
Net change in valuation allowance (1,200,000)us-gaap_ValuationAllowanceDeferredTaxAssetChangeInAmount  
Decrease related to deferred tax liability 500,000crai_IncreaseDecreaseInDeferredIncomeTaxLiabilities  
Net operating losses    
Valuation allowance    
Decrease in valuation allowance from provision to return differences (200,000)crai_ValuationAllowanceChangeInAmountProvisionToReturnDifferences
/ us-gaap_ValuationAllowanceByDeferredTaxAssetAxis
= us-gaap_ValuationAllowanceOperatingLossCarryforwardsMember		  
Net operating losses | Foreign    
Valuation allowance    
Net change in valuation allowance 100,000us-gaap_ValuationAllowanceDeferredTaxAssetChangeInAmount
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_ForeignCountryMember
/ us-gaap_ValuationAllowanceByDeferredTaxAssetAxis
= us-gaap_ValuationAllowanceOperatingLossCarryforwardsMember		  
Decrease in valuation allowance from benefits on prior net operating losses $ (400,000)crai_ValuationAllowanceChangeInAmountPriorNetOperatingLossesBenefits
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_ForeignCountryMember
/ us-gaap_ValuationAllowanceByDeferredTaxAssetAxis
= us-gaap_ValuationAllowanceOperatingLossCarryforwardsMember