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Common Stock (Details) (USD $)
12 Months Ended
Jan. 03, 2015
Dec. 28, 2013
Dec. 29, 2012
Oct. 23, 2014
Feb. 13, 2014
Aug. 10, 2012
Share-Based Compensation            
Share-based compensation expense $ 5,300,000us-gaap_AllocatedShareBasedCompensationExpense $ 2,900,000us-gaap_AllocatedShareBasedCompensationExpense $ 4,900,000us-gaap_AllocatedShareBasedCompensationExpense      
Non-employee compensation expense 271,000us-gaap_IssuanceOfStockAndWarrantsForServicesOrClaims 147,000us-gaap_IssuanceOfStockAndWarrantsForServicesOrClaims 79,000us-gaap_IssuanceOfStockAndWarrantsForServicesOrClaims      
Employee tax withholdings paid on redemption of vested restricted shares 1,222,000us-gaap_AdjustmentsRelatedToTaxWithholdingForShareBasedCompensation 730,000us-gaap_AdjustmentsRelatedToTaxWithholdingForShareBasedCompensation 1,360,000us-gaap_AdjustmentsRelatedToTaxWithholdingForShareBasedCompensation      
Common Stock Repurchases and Retirements            
Share repurchase program, amount authorized to be repurchased       30,000,000us-gaap_StockRepurchaseProgramAuthorizedAmount1 15,000,000us-gaap_StockRepurchaseProgramAuthorizedAmount1 5,000,000us-gaap_StockRepurchaseProgramAuthorizedAmount1
Number of shares repurchased and retired 971,515us-gaap_StockRepurchasedAndRetiredDuringPeriodShares 118,968us-gaap_StockRepurchasedAndRetiredDuringPeriodShares 466,109us-gaap_StockRepurchasedAndRetiredDuringPeriodShares      
Aggregate price of shares repurchased and retired 25,492,000us-gaap_StockRepurchasedAndRetiredDuringPeriodValue 2,190,000us-gaap_StockRepurchasedAndRetiredDuringPeriodValue 9,062,000us-gaap_StockRepurchasedAndRetiredDuringPeriodValue      
Amount available for future repurchases 20,900,000us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount1          
Restricted shares            
Share-Based Compensation            
Vested (in shares) 149,195us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod
/ us-gaap_AwardTypeAxis
= crai_RestrictedStockAndRestrictedStockUnitAwardsMember
134,384us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod
/ us-gaap_AwardTypeAxis
= crai_RestrictedStockAndRestrictedStockUnitAwardsMember
216,528us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod
/ us-gaap_AwardTypeAxis
= crai_RestrictedStockAndRestrictedStockUnitAwardsMember
     
Redemption of vested restricted shares in order to pay employee tax withholdings (in shares) 41,470us-gaap_SharesPaidForTaxWithholdingForShareBasedCompensation
/ us-gaap_AwardTypeAxis
= crai_RestrictedStockAndRestrictedStockUnitAwardsMember
37,642us-gaap_SharesPaidForTaxWithholdingForShareBasedCompensation
/ us-gaap_AwardTypeAxis
= crai_RestrictedStockAndRestrictedStockUnitAwardsMember
69,207us-gaap_SharesPaidForTaxWithholdingForShareBasedCompensation
/ us-gaap_AwardTypeAxis
= crai_RestrictedStockAndRestrictedStockUnitAwardsMember
     
Employee tax withholdings paid on redemption of vested restricted shares 1,200,000us-gaap_AdjustmentsRelatedToTaxWithholdingForShareBasedCompensation
/ us-gaap_AwardTypeAxis
= crai_RestrictedStockAndRestrictedStockUnitAwardsMember
700,000us-gaap_AdjustmentsRelatedToTaxWithholdingForShareBasedCompensation
/ us-gaap_AwardTypeAxis
= crai_RestrictedStockAndRestrictedStockUnitAwardsMember
1,400,000us-gaap_AdjustmentsRelatedToTaxWithholdingForShareBasedCompensation
/ us-gaap_AwardTypeAxis
= crai_RestrictedStockAndRestrictedStockUnitAwardsMember
     
Employees and directors            
Share-Based Compensation            
Share-based compensation expense $ 5,300,000us-gaap_AllocatedShareBasedCompensationExpense
/ crai_DeferredCompensationArrangementWithIndividualShareBasedPaymentsByTitleOfShareRecipientAxis
= crai_EmployeesAndDirectorsMember
$ 2,900,000us-gaap_AllocatedShareBasedCompensationExpense
/ crai_DeferredCompensationArrangementWithIndividualShareBasedPaymentsByTitleOfShareRecipientAxis
= crai_EmployeesAndDirectorsMember
$ 4,900,000us-gaap_AllocatedShareBasedCompensationExpense
/ crai_DeferredCompensationArrangementWithIndividualShareBasedPaymentsByTitleOfShareRecipientAxis
= crai_EmployeesAndDirectorsMember