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Summary of Significant Accounting Policies - Consolidation and Fiscal Year (Details)
 3 Months Ended 12 Months Ended
Feb. 16, 2016
USD ($)
Jan. 08, 2015
USD ($)
Jan. 02, 2016
USD ($)
Oct. 03, 2015
USD ($)
Jul. 04, 2015
USD ($)
Apr. 04, 2015
USD ($)
Jan. 03, 2015
USD ($)
Sep. 27, 2014
USD ($)
Jun. 28, 2014
USD ($)
Mar. 29, 2014
USD ($)
Jan. 02, 2016
USD ($)
segment
item
Jan. 03, 2015
USD ($)
item
Dec. 28, 2013
USD ($)
item
Description of Business                          
Number of broad areas of services | item                     2    
Number of business segments | segment                     2    
Fiscal Year Change                          
Number of weeks periodically contained in a fiscal year | item                     53    
Number of weeks in a fiscal year | item                     52 53 52
NeuCo Interest                          
Net revenue     $ 72,460,000 $ 76,525,000 $ 76,535,000 $ 78,039,000 $ 78,459,000 $ 73,483,000 $ 78,184,000 $ 76,245,000 $ 303,559,000 $ 306,371,000 $ 278,432,000
Net income     (2,589,000) 2,813,000 3,202,000 2,899,000 3,743,000 3,189,000 3,167,000 3,308,000 6,325,000 13,407,000 11,235,000
Net income attributable to CRA International, Inc. allocated to common shares     (1,307,000) $ 2,860,000 $ 3,325,000 2,779,000 $ 3,816,000 $ 3,224,000 $ 3,188,000 $ 3,410,000 7,657,000 13,638,000 11,370,000
Repayments of Notes Payable                     300,000 26,000 700,000
Gain on extinguishment of debt                     $ 606,000    
Goodwill and Intangible Asset Impairment charges     $ 4,500,000                    
NeuCo, Inc.                          
NeuCo Interest                          
Percentage of ownership interest held by the entity                     55.89%    
Net revenue                     $ 3,800,000 4,800,000 5,100,000
Net income                     (3,000,000) (500,000) (300,000)
Net income attributable to CRA International, Inc. allocated to common shares                     (1,300,000) $ (200,000) $ (200,000)
Notes Payable   $ 981,000                      
Repayments of Notes Payable   $ 375,000                      
Gain on extinguishment of debt           $ 606,000              
NeuCo, Inc. | Subsequent events                          
NeuCo Interest                          
Repayments of Notes Payable $ 75,000                        
NeuCo, Inc. | Repayments of Notes payable on January 2015                          
NeuCo Interest                          
Repayments of Notes Payable                     150,000    
NeuCo, Inc. | Repayments of Notes payable on February 2015                          
NeuCo Interest                          
Repayments of Notes Payable                     $ 150,000    
NeuCo, Inc. | Repayments of Notes Payable on February 2016                          
NeuCo Interest                          
Repayments of Notes Payable $ 75,000                        
NeuCo, Inc. | Board of directors | Minimum                          
NeuCo Interest                          
Percentage of ownership interest held by the entity                     5.00%