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Net Income per Share (Details) - USD ($)
$ in Thousands
 3 Months Ended 12 Months Ended
Jan. 02, 2016
Oct. 03, 2015
Jul. 04, 2015
Apr. 04, 2015
Jan. 03, 2015
Sep. 27, 2014
Jun. 28, 2014
Mar. 29, 2014
Jan. 02, 2016
Jan. 03, 2015
Dec. 28, 2013
Net Income (Loss) Available to Common Stockholders, Diluted [Abstract]                      
Net income (loss) attributable to CRA International, Inc. $ (1,307) $ 2,860 $ 3,325 $ 2,779 $ 3,816 $ 3,224 $ 3,188 $ 3,410 $ 7,657 $ 13,638 $ 11,370
Less: net income attributable to participating shares                 59 20 27
Net income available to common shareholders                 $ 7,598 $ 13,618 $ 11,343
Reconciliation of basic to diluted weighted average shares of common stock outstanding                      
Basic weighted average shares outstanding 8,876,000 8,940,000 9,034,000 9,190,000 9,344,000 9,729,000 9,919,000 10,029,000 9,010,000 9,747,000 10,084,000
Common stock equivalents:                      
Stock options and restricted stock (in shares)                 185,000 150,000 89,000
Diluted weighted average shares outstanding 8,876,000 9,025,000 9,253,000 9,403,000 9,560,000 9,919,000 10,026,000 10,108,000 9,195,000 9,897,000 10,173,000
Calculation of common stock equivalents for purposes of computing diluted weighted average shares outstanding                      
Anti-dilutive securities excluded from EPS computation (in shares)                 522,593 764,748 1,138,411