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Share-Based Compensation (Details 3) (USD $)
12 Months Ended
Jan. 03, 2015
Share-based compensation  
Exercise price (in dollars per share) $ 30.97us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice
1998 Plan  
Share-based compensation  
Shares available for grant 1,000,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ us-gaap_PlanNameAxis
= crai_IncentiveAndNonqualifiedStockOptionPlan1998Member
1998 Plan | Options  
Share-based compensation  
Aggregate options granted (in shares) 3,839,216crai_ShareBasedCompensationArrangementByShareBasedPaymentAwardAggregateOptionsGranted
/ us-gaap_AwardTypeAxis
= crai_EmployeeAndDirectorsStockOptionsMember
/ us-gaap_PlanNameAxis
= crai_IncentiveAndNonqualifiedStockOptionPlan1998Member
Shares available for grant 0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ us-gaap_AwardTypeAxis
= crai_EmployeeAndDirectorsStockOptionsMember
/ us-gaap_PlanNameAxis
= crai_IncentiveAndNonqualifiedStockOptionPlan1998Member
1998 Plan | Options | Minimum  
Share-based compensation  
Termination period 7 years
1998 Plan | Options | Maximum  
Share-based compensation  
Vesting period 5 years
Termination period 10 years
2004 Nonqualified Inducement Stock Option Plan | Options  
Share-based compensation  
Aggregate options granted (in shares) 359,420crai_ShareBasedCompensationArrangementByShareBasedPaymentAwardAggregateOptionsGranted
/ us-gaap_AwardTypeAxis
= crai_EmployeeAndDirectorsStockOptionsMember
/ us-gaap_PlanNameAxis
= crai_NonqualifiedInducementStockOptionPlan2004Member
Shares available for grant 0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ us-gaap_AwardTypeAxis
= crai_EmployeeAndDirectorsStockOptionsMember
/ us-gaap_PlanNameAxis
= crai_NonqualifiedInducementStockOptionPlan2004Member
2009 Nonqualified Inducement Stock Option Plan  
Share-based compensation  
Shares authorized 250,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ us-gaap_PlanNameAxis
= crai_NonqualifiedInducementStockOptionPlan2009Member
2009 Nonqualified Inducement Stock Option Plan | Options  
Share-based compensation  
Aggregate options granted (in shares) 200,000crai_ShareBasedCompensationArrangementByShareBasedPaymentAwardAggregateOptionsGranted
/ us-gaap_AwardTypeAxis
= crai_EmployeeAndDirectorsStockOptionsMember
/ us-gaap_PlanNameAxis
= crai_NonqualifiedInducementStockOptionPlan2009Member
Vesting period 4 years
Termination period 7 years
Shares available for grant 50,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ us-gaap_AwardTypeAxis
= crai_EmployeeAndDirectorsStockOptionsMember
/ us-gaap_PlanNameAxis
= crai_NonqualifiedInducementStockOptionPlan2009Member
Exercise price (in dollars per share) $ 50.00us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= crai_EmployeeAndDirectorsStockOptionsMember
/ us-gaap_PlanNameAxis
= crai_NonqualifiedInducementStockOptionPlan2009Member