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Restructuring Charges (Details) (USD $)
12 Months Ended 3 Months Ended
Jan. 03, 2015
Dec. 28, 2013
Dec. 29, 2012
Jun. 30, 2012
Restructuring charges disclosures        
Restructuring expenses     $ 6,700,000us-gaap_RestructuringCharges  
Restructuring charges related to termination benefits, facility related charges, asset write downs and other charges     5,400,000crai_RestructuringChargesRelatedToTerminationBenefitsFacilityRelatedChargesFixedAssetWriteDownsAndOtherCharges  
Restructuring expenses and reserve balance        
Balance at the beginning of the period 1,170,000us-gaap_RestructuringReserve 2,979,000us-gaap_RestructuringReserve    
Amounts paid, net of amounts received (750,000)us-gaap_PaymentsForRestructuring (1,488,000)us-gaap_PaymentsForRestructuring    
Non-cash adjustments and effect of foreign currency translation 42,000us-gaap_RestructuringReserveTranslationAndOtherAdjustment (321,000)us-gaap_RestructuringReserveTranslationAndOtherAdjustment    
Balance at the end of the period 462,000us-gaap_RestructuringReserve 1,170,000us-gaap_RestructuringReserve 2,979,000us-gaap_RestructuringReserve  
Cost of sales        
Restructuring charges disclosures        
Restructuring expenses     3,800,000us-gaap_RestructuringCharges
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_CostOfSalesMember
 
Selling, general and administrative expenses        
Restructuring charges disclosures        
Restructuring expenses     1,500,000us-gaap_RestructuringCharges
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_SellingGeneralAndAdministrativeExpensesMember
 
Depreciation and amortization expense        
Restructuring charges disclosures        
Restructuring expenses     1,400,000us-gaap_RestructuringCharges
/ us-gaap_IncomeStatementLocationAxis
= crai_DepreciationAndAmortizationExpenseMember
 
Office Vacancies        
Restructuring expenses and reserve balance        
Balance at the beginning of the period 1,170,000us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_FacilityClosingMember
2,106,000us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_FacilityClosingMember
   
Amounts paid, net of amounts received (750,000)us-gaap_PaymentsForRestructuring
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_FacilityClosingMember
(759,000)us-gaap_PaymentsForRestructuring
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_FacilityClosingMember
   
Non-cash adjustments and effect of foreign currency translation 42,000us-gaap_RestructuringReserveTranslationAndOtherAdjustment
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_FacilityClosingMember
(177,000)us-gaap_RestructuringReserveTranslationAndOtherAdjustment
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_FacilityClosingMember
   
Balance at the end of the period 462,000us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_FacilityClosingMember
1,170,000us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_FacilityClosingMember
   
Employee Workforce Reduction        
Restructuring expenses and reserve balance        
Balance at the beginning of the period   873,000us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_EmployeeSeveranceMember
   
Amounts paid, net of amounts received   (729,000)us-gaap_PaymentsForRestructuring
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_EmployeeSeveranceMember
   
Non-cash adjustments and effect of foreign currency translation   (144,000)us-gaap_RestructuringReserveTranslationAndOtherAdjustment
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_EmployeeSeveranceMember
   
London office surrender        
Restructuring charges disclosures        
Restructuring expenses       1,700,000us-gaap_RestructuringCharges
/ us-gaap_RestructuringPlanAxis
= crai_LondonOfficeSurrenderMember
Number of floors under lease surrendered     1crai_NumberOfFloorsUnderLeaseSurrendered
/ us-gaap_RestructuringPlanAxis
= crai_LondonOfficeSurrenderMember
 
Number of floors under lease     3crai_NumberOfFloorsUnderLease
/ us-gaap_RestructuringPlanAxis
= crai_LondonOfficeSurrenderMember
 
London office surrender | Lease surrender        
Restructuring expenses and reserve balance        
Amounts paid, net of amounts received       (1,200,000)us-gaap_PaymentsForRestructuring
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ContractTerminationMember
/ us-gaap_RestructuringPlanAxis
= crai_LondonOfficeSurrenderMember
London office surrender | Other restructuring        
Restructuring charges disclosures        
Restructuring expenses       500,000us-gaap_RestructuringCharges
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_OtherRestructuringMember
/ us-gaap_RestructuringPlanAxis
= crai_LondonOfficeSurrenderMember
Houston office space adjustments        
Restructuring charges disclosures        
Pre-tax restructuring credit related to adjustments of leased office space in Houston, TX     $ 400,000us-gaap_RestructuringReserveAccrualAdjustment
/ us-gaap_RestructuringPlanAxis
= crai_HoustonOfficeSpaceAdjustmentsMember
 
Restructuring Plan, July 2012 | Minimum        
Restructuring charges disclosures        
Number of consulting positions reduced under the plan     60us-gaap_RestructuringAndRelatedCostNumberOfPositionsEliminated
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
/ us-gaap_RestructuringPlanAxis
= crai_RestructuringPlanJuly2012Member