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Net Income Per Share (Details) - USD ($)
$ / shares in Units, $ in Thousands
 3 Months Ended 12 Months Ended
Dec. 30, 2017
Sep. 30, 2017
Jul. 01, 2017
Apr. 01, 2017
Dec. 31, 2016
Oct. 01, 2016
Jul. 02, 2016
Apr. 02, 2016
Dec. 30, 2017
Dec. 31, 2016
Jan. 02, 2016
Net income available to common shareholders                      
Net income attributable to CRA as reported $ (2,256) $ 3,214 $ 3,813 $ 2,853 $ 2,058 $ 3,193 $ 5,215 $ 2,423 $ 7,624 $ 12,888 $ 7,657
Less: net income attributable to participating shares                 51 95 59
Net income attributable to CRA common shareholders                 $ 7,573 $ 12,793 $ 7,598
Reconciliation of basic to diluted weighted average shares of common stock outstanding                      
Basic weighted average shares outstanding 8,171,000 8,149,000 8,428,000 8,419,000 8,269,000 8,177,000 8,695,000 8,871,000 8,292,000 8,503,000 9,010,000
Stock options, restricted stock shares and restricted stock units                 205,000 98,000 185,000
Diluted weighted average shares outstanding 8,171,000 8,353,000 8,618,000 8,621,000 8,443,000 8,309,000 8,779,000 8,927,000 8,497,000 8,601,000 9,195,000
Basic (in dollars per share) $ (0.27) $ 0.39 $ 0.45 $ 0.34 $ 0.25 $ 0.39 $ 0.60 $ 0.27 $ 0.91 $ 1.50 $ 0.84
Diluted (in dollars per share) $ (0.28) $ 0.38 $ 0.44 $ 0.33 $ 0.24 $ 0.38 $ 0.59 $ 0.27 $ 0.89 $ 1.49 $ 0.83
Calculation of common stock equivalents for purposes of computing diluted weighted average shares outstanding                      
Anti-dilutive securities excluded from EPS computation (in shares)                 75,004 581,546 522,593