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Share-Based Compensation (Details 6) (USD $)
In Millions, except Share data, unless otherwise specified
12 Months Ended
Jan. 03, 2015
Dec. 28, 2013
Dec. 29, 2012
1998 Employee Stock Purchase Plan      
Additional disclosures      
Number of shares authorized 243,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ us-gaap_PlanNameAxis
= us-gaap_EmployeeStockMember
   
Purchase price as a percentage of fair market value 85.00%us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardPurchasePriceOfCommonStockPercent
/ us-gaap_PlanNameAxis
= us-gaap_EmployeeStockMember
   
Offering period   1 year  
Shares issued 0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesIssuedInPeriod
/ us-gaap_PlanNameAxis
= us-gaap_EmployeeStockMember
0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesIssuedInPeriod
/ us-gaap_PlanNameAxis
= us-gaap_EmployeeStockMember
0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesIssuedInPeriod
/ us-gaap_PlanNameAxis
= us-gaap_EmployeeStockMember
Options      
Additional disclosures      
Fair value of options vested 1.4us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1
/ us-gaap_AwardTypeAxis
= crai_EmployeeAndDirectorsStockOptionsMember
1.3us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1
/ us-gaap_AwardTypeAxis
= crai_EmployeeAndDirectorsStockOptionsMember
1.5us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1
/ us-gaap_AwardTypeAxis
= crai_EmployeeAndDirectorsStockOptionsMember
Unrecognized compensation cost, net of expected forfeitures 3.6us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= crai_EmployeeAndDirectorsStockOptionsMember
   
Weighted-average period over which cost is expected to be recognized 3 years 2 months 12 days    
Restricted shares      
Additional disclosures      
Number of vesting installments 4crai_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfVestingInstallments
/ us-gaap_AwardTypeAxis
= crai_RestrictedStockAndRestrictedStockUnitAwardsMember
   
Unrecognized compensation cost, net of expected forfeitures 5.8us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= crai_RestrictedStockAndRestrictedStockUnitAwardsMember
   
Weighted-average period over which cost is expected to be recognized 3 years 1 month 6 days    
Non-vested Restricted Stock and Stock Units, Number of Shares      
Balance at the beginning of the period (in shares) 309,038us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
/ us-gaap_AwardTypeAxis
= crai_RestrictedStockAndRestrictedStockUnitAwardsMember
   
Granted (in shares) 135,593us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= crai_RestrictedStockAndRestrictedStockUnitAwardsMember
   
Vested (in shares) (149,195)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod
/ us-gaap_AwardTypeAxis
= crai_RestrictedStockAndRestrictedStockUnitAwardsMember
(134,384)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod
/ us-gaap_AwardTypeAxis
= crai_RestrictedStockAndRestrictedStockUnitAwardsMember
(216,528)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod
/ us-gaap_AwardTypeAxis
= crai_RestrictedStockAndRestrictedStockUnitAwardsMember
Forfeited (in shares) (9,294)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeitedInPeriod
/ us-gaap_AwardTypeAxis
= crai_RestrictedStockAndRestrictedStockUnitAwardsMember
   
Balance at the end of the period (in shares) 286,142us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
/ us-gaap_AwardTypeAxis
= crai_RestrictedStockAndRestrictedStockUnitAwardsMember
309,038us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
/ us-gaap_AwardTypeAxis
= crai_RestrictedStockAndRestrictedStockUnitAwardsMember
 
Non-vested Restricted Stock and Stock Units, Weighted-Average Fair Value      
Balance at the beginning of the period (in dollars per share) 20.39us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= crai_RestrictedStockAndRestrictedStockUnitAwardsMember
   
Granted (in dollars per share) 28.51us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= crai_RestrictedStockAndRestrictedStockUnitAwardsMember
   
Vested (in dollars per share) 21.75us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= crai_RestrictedStockAndRestrictedStockUnitAwardsMember
   
Forfeited (in dollars per share) 20.95us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeituresWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= crai_RestrictedStockAndRestrictedStockUnitAwardsMember
   
Balance at the end of the period (in dollars per share) 23.72us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= crai_RestrictedStockAndRestrictedStockUnitAwardsMember
20.39us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= crai_RestrictedStockAndRestrictedStockUnitAwardsMember
 
Additional disclosures      
Number of shares issuable upon achievement of certain financial performance goals, specified period one 212,000crai_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNumberOfSharesIssuableUponAchievementOfFinancialPerformanceGoalsSpecifiedPeriodOne
/ us-gaap_AwardTypeAxis
= crai_RestrictedStockAndRestrictedStockUnitAwardsMember
   
Number of shares issuable upon achievement of certain financial performance goals, specified period two 149,000crai_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNumberOfSharesIssuableUponAchievementOfFinancialPerformanceGoalsSpecifiedPeriodTwo
/ us-gaap_AwardTypeAxis
= crai_RestrictedStockAndRestrictedStockUnitAwardsMember