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Business Segment and Geographic Information (Details) (USD $)
In Thousands, unless otherwise specified
3 Months Ended 12 Months Ended
Jan. 03, 2015
Sep. 27, 2014
Jun. 28, 2014
Mar. 29, 2014
Dec. 28, 2013
Sep. 28, 2013
Jun. 29, 2013
Mar. 30, 2013
Jan. 03, 2015
segment
Dec. 28, 2013
Dec. 29, 2012
Business segment and geographic information                      
Number of business segments                 1us-gaap_NumberOfReportableSegments    
Revenues $ 78,459us-gaap_SalesRevenueServicesNet $ 73,483us-gaap_SalesRevenueServicesNet $ 78,184us-gaap_SalesRevenueServicesNet $ 76,245us-gaap_SalesRevenueServicesNet $ 75,672us-gaap_SalesRevenueServicesNet $ 74,427us-gaap_SalesRevenueServicesNet $ 65,203us-gaap_SalesRevenueServicesNet $ 63,130us-gaap_SalesRevenueServicesNet $ 306,371us-gaap_SalesRevenueServicesNet $ 278,432us-gaap_SalesRevenueServicesNet $ 270,390us-gaap_SalesRevenueServicesNet
Long-lived assets (property and equipment, net) 14,696us-gaap_PropertyPlantAndEquipmentNet       15,655us-gaap_PropertyPlantAndEquipmentNet       14,696us-gaap_PropertyPlantAndEquipmentNet 15,655us-gaap_PropertyPlantAndEquipmentNet  
United States                      
Business segment and geographic information                      
Revenues                 238,466us-gaap_SalesRevenueServicesNet
/ us-gaap_StatementGeographicalAxis
= country_US
216,815us-gaap_SalesRevenueServicesNet
/ us-gaap_StatementGeographicalAxis
= country_US
207,779us-gaap_SalesRevenueServicesNet
/ us-gaap_StatementGeographicalAxis
= country_US
Long-lived assets (property and equipment, net) 12,753us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementGeographicalAxis
= country_US
      13,657us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementGeographicalAxis
= country_US
      12,753us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementGeographicalAxis
= country_US
13,657us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementGeographicalAxis
= country_US
 
United Kingdom                      
Business segment and geographic information                      
Revenues                 49,127us-gaap_SalesRevenueServicesNet
/ us-gaap_StatementGeographicalAxis
= country_GB
46,987us-gaap_SalesRevenueServicesNet
/ us-gaap_StatementGeographicalAxis
= country_GB
51,059us-gaap_SalesRevenueServicesNet
/ us-gaap_StatementGeographicalAxis
= country_GB
Long-lived assets (property and equipment, net) 1,595us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementGeographicalAxis
= country_GB
      1,911us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementGeographicalAxis
= country_GB
      1,595us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementGeographicalAxis
= country_GB
1,911us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementGeographicalAxis
= country_GB
 
Other                      
Business segment and geographic information                      
Revenues                 18,778us-gaap_SalesRevenueServicesNet
/ us-gaap_StatementGeographicalAxis
= crai_OtherForeignCountriesMember
14,630us-gaap_SalesRevenueServicesNet
/ us-gaap_StatementGeographicalAxis
= crai_OtherForeignCountriesMember
11,552us-gaap_SalesRevenueServicesNet
/ us-gaap_StatementGeographicalAxis
= crai_OtherForeignCountriesMember
Long-lived assets (property and equipment, net) 348us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementGeographicalAxis
= crai_OtherForeignCountriesMember
      87us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementGeographicalAxis
= crai_OtherForeignCountriesMember
      348us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementGeographicalAxis
= crai_OtherForeignCountriesMember
87us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementGeographicalAxis
= crai_OtherForeignCountriesMember
 
Total foreign                      
Business segment and geographic information                      
Revenues                 67,905us-gaap_SalesRevenueServicesNet
/ us-gaap_StatementGeographicalAxis
= crai_ForeignCountriesMember
61,617us-gaap_SalesRevenueServicesNet
/ us-gaap_StatementGeographicalAxis
= crai_ForeignCountriesMember
62,611us-gaap_SalesRevenueServicesNet
/ us-gaap_StatementGeographicalAxis
= crai_ForeignCountriesMember
Long-lived assets (property and equipment, net) $ 1,943us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementGeographicalAxis
= crai_ForeignCountriesMember
      $ 1,998us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementGeographicalAxis
= crai_ForeignCountriesMember
      $ 1,943us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementGeographicalAxis
= crai_ForeignCountriesMember
$ 1,998us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementGeographicalAxis
= crai_ForeignCountriesMember