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Income Taxes (Details 4) (USD $)
12 Months Ended
Jan. 03, 2015
Dec. 28, 2013
Changes in the balances of gross unrecognized tax benefits    
Balance at beginning of period $ 372,000us-gaap_UnrecognizedTaxBenefits $ 3,032,000us-gaap_UnrecognizedTaxBenefits
Additions for tax positions taken during prior years 127,000us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromPriorPeriodTaxPositions 372,000us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromPriorPeriodTaxPositions
Additions for tax positions taken during the current year 45,000us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions  
Settlements with tax authorities (9,000)us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromSettlementsWithTaxingAuthorities (3,032,000)us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromSettlementsWithTaxingAuthorities
Balance at end of the period 535,000us-gaap_UnrecognizedTaxBenefits 372,000us-gaap_UnrecognizedTaxBenefits
Interest accrued on unrecognized tax benefits 185,000us-gaap_UnrecognizedTaxBenefitsInterestOnIncomeTaxesAccrued  
Unrecognized tax benefits before adjustments 720,000crai_UnrecognizedTaxBenefitsBeforeAdjustments  
Unrecognized tax benefits offset by future tax deduction 111,000crai_UnrecognizedTaxBenefitsOffsetDueToFutureTaxDeduction  
Interest and penalties on unrecognized tax benefits 85,000us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestExpense 67,000us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestExpense
Unrecognized tax benefits being recognized as a reduction to the effective income tax rate 467,000us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate  
Amount of unrecognized tax benefits that is reasonably possible to be reversed within the next twelve months 162,000us-gaap_SignificantChangeInUnrecognizedTaxBenefitsIsReasonablyPossibleAmountOfUnrecordedBenefit  
Additional disclosures    
Undistributed earnings from foreign subsidiaries $ 3,500,000us-gaap_UndistributedEarningsOfForeignSubsidiaries