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Share-Based Compensation (Details 5) (USD $)
12 Months Ended
Jan. 03, 2015
Dec. 28, 2013
Options Outstanding    
Number Outstanding (in shares) 1,154,945us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfOutstandingOptions  
Weighted-Average Remaining Contractual Life 3 years 8 months 23 days  
Weighted-Average Exercise Price (in dollars per share) $ 29.93us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeOutstandingOptionsWeightedAverageExercisePriceBeginningBalance1  
Options Exercisable    
Number Exercisable (in shares) 737,760us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfExercisableOptions  
Weighted-Average Exercise Price (in dollars per share) $ 33.14us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeExercisableOptionsWeightedAverageExercisePrice1  
Non-vested Options, Number of Shares    
Balance at the beginning of the period (in shares) 401,678us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsNonvestedNumberOfShares  
Granted (in shares) 178,608us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriod  
Vested (in shares) (153,126)us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedNumberOfShares  
Forfeited (in shares) (9,975)us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsNonvestedOptionsForfeitedNumberOfShares  
Balance at the end of the period (in shares) 417,185us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsNonvestedNumberOfShares  
Non-vested Options, Weighted-Average Fair Value    
Balance at the beginning of the period (in dollars per share) $ 8.16us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsNonvestedWeightedAverageGrantDateFairValue  
Granted (in dollars per share) $ 12.24us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue  
Vested (in dollars per share) $ 9.03us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedWeightedAverageGrantDateFairValue  
Forfeited (in dollars per share) $ 8.30us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsNonvestedOptionsForfeitedWeightedAverageGrantDateFairValue  
Balance at the end of the period (in dollars per share) $ 9.98us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsNonvestedWeightedAverageGrantDateFairValue  
$18.48    
Options Outstanding    
Number Outstanding (in shares) 254,355us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfOutstandingOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeOneOfExercisePricesMember
 
Weighted-Average Remaining Contractual Life 5 years 10 months 17 days  
Weighted-Average Exercise Price (in dollars per share) $ 18.48us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeOutstandingOptionsWeightedAverageExercisePriceBeginningBalance1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeOneOfExercisePricesMember
$ 18.48us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeOutstandingOptionsWeightedAverageExercisePriceBeginningBalance1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeOneOfExercisePricesMember
Options Exercisable    
Number Exercisable (in shares) 63,578us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfExercisableOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeOneOfExercisePricesMember
 
Weighted-Average Exercise Price (in dollars per share) $ 18.48us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeExercisableOptionsWeightedAverageExercisePrice1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeOneOfExercisePricesMember
 
$18.49 - 22.81    
Share-based compensation    
Exercise price, low end of range (in dollars per share) $ 18.49us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeLowerRangeLimit
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeTwoOfExercisePricesMember
 
Exercise price, high end of range (in dollars per share) $ 22.81us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeUpperRangeLimit
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeTwoOfExercisePricesMember
 
Options Outstanding    
Number Outstanding (in shares) 328,253us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfOutstandingOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeTwoOfExercisePricesMember
 
Weighted-Average Remaining Contractual Life 3 years 4 months 21 days  
Weighted-Average Exercise Price (in dollars per share) $ 21.68us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeOutstandingOptionsWeightedAverageExercisePriceBeginningBalance1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeTwoOfExercisePricesMember
 
Options Exercisable    
Number Exercisable (in shares) 284,453us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfExercisableOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeTwoOfExercisePricesMember
 
Weighted-Average Exercise Price (in dollars per share) $ 21.64us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeExercisableOptionsWeightedAverageExercisePrice1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeTwoOfExercisePricesMember
 
$22.82 - 29.07    
Share-based compensation    
Exercise price, low end of range (in dollars per share) $ 22.82us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeLowerRangeLimit
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeThreeOfExercisePricesMember
 
Exercise price, high end of range (in dollars per share) $ 29.07us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeUpperRangeLimit
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeThreeOfExercisePricesMember
 
Options Outstanding    
Number Outstanding (in shares) 86,665us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfOutstandingOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeThreeOfExercisePricesMember
 
Weighted-Average Remaining Contractual Life 2 years  
Weighted-Average Exercise Price (in dollars per share) $ 24.22us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeOutstandingOptionsWeightedAverageExercisePriceBeginningBalance1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeThreeOfExercisePricesMember
 
Options Exercisable    
Number Exercisable (in shares) 82,665us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfExercisableOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeThreeOfExercisePricesMember
 
Weighted-Average Exercise Price (in dollars per share) $ 24.18us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeExercisableOptionsWeightedAverageExercisePrice1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeThreeOfExercisePricesMember
 
$29.08 - 32.26    
Share-based compensation    
Exercise price, low end of range (in dollars per share) $ 29.08us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeLowerRangeLimit
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeFourOfExercisePricesMember
 
Exercise price, high end of range (in dollars per share) $ 32.26us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeUpperRangeLimit
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeFourOfExercisePricesMember
 
Options Outstanding    
Number Outstanding (in shares) 178,608us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfOutstandingOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeFourOfExercisePricesMember
 
Weighted-Average Remaining Contractual Life 6 years 11 months 5 days  
Weighted-Average Exercise Price (in dollars per share) $ 30.97us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeOutstandingOptionsWeightedAverageExercisePriceBeginningBalance1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeFourOfExercisePricesMember
 
$32.27 - 48.85    
Share-based compensation    
Exercise price, low end of range (in dollars per share) $ 32.27us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeLowerRangeLimit
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeSixOfExercisePricesMember
 
Exercise price, high end of range (in dollars per share) $ 48.85us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeUpperRangeLimit
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeSixOfExercisePricesMember
 
Options Outstanding    
Number Outstanding (in shares) 42,500us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfOutstandingOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeSixOfExercisePricesMember
 
Weighted-Average Remaining Contractual Life 9 months 15 days  
Weighted-Average Exercise Price (in dollars per share) $ 42.58us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeOutstandingOptionsWeightedAverageExercisePriceBeginningBalance1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeSixOfExercisePricesMember
 
Options Exercisable    
Number Exercisable (in shares) 42,500us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfExercisableOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeSixOfExercisePricesMember
 
Weighted-Average Exercise Price (in dollars per share) $ 42.58us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeExercisableOptionsWeightedAverageExercisePrice1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeSixOfExercisePricesMember
 
$48.86 - 50.00    
Share-based compensation    
Exercise price, low end of range (in dollars per share) $ 48.86us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeLowerRangeLimit
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeSevenOfExercisePricesMember
 
Exercise price, high end of range (in dollars per share) $ 50.00us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeUpperRangeLimit
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeSevenOfExercisePricesMember
 
Options Outstanding    
Number Outstanding (in shares) 150,000us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfOutstandingOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeSevenOfExercisePricesMember
 
Weighted-Average Remaining Contractual Life 1 year 6 months  
Weighted-Average Exercise Price (in dollars per share) $ 50.00us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeOutstandingOptionsWeightedAverageExercisePriceBeginningBalance1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeSevenOfExercisePricesMember
 
Options Exercisable    
Number Exercisable (in shares) 150,000us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfExercisableOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeSevenOfExercisePricesMember
 
Weighted-Average Exercise Price (in dollars per share) $ 50.00us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeExercisableOptionsWeightedAverageExercisePrice1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeSevenOfExercisePricesMember
 
$50.01 - 53.72    
Share-based compensation    
Exercise price, low end of range (in dollars per share) $ 50.01us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeLowerRangeLimit
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeEightOfExercisePricesMember
 
Exercise price, high end of range (in dollars per share) $ 53.72us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeUpperRangeLimit
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeEightOfExercisePricesMember
 
Options Outstanding    
Number Outstanding (in shares) 114,564us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfOutstandingOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeEightOfExercisePricesMember
 
Weighted-Average Remaining Contractual Life 3 months  
Weighted-Average Exercise Price (in dollars per share) $ 50.73us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeOutstandingOptionsWeightedAverageExercisePriceBeginningBalance1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeEightOfExercisePricesMember
 
Options Exercisable    
Number Exercisable (in shares) 114,564us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfExercisableOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeEightOfExercisePricesMember
 
Weighted-Average Exercise Price (in dollars per share) $ 50.73us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeExercisableOptionsWeightedAverageExercisePrice1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= crai_RangeEightOfExercisePricesMember