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Quarterly Financial Data (Unaudited) (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Thousands
 3 Months Ended 12 Months Ended
Dec. 31, 2016
Oct. 01, 2016
Jul. 02, 2016
Apr. 02, 2016
Jan. 02, 2016
Oct. 03, 2015
Jul. 04, 2015
Apr. 04, 2015
Dec. 31, 2016
Jan. 02, 2016
Jan. 03, 2015
Revenues $ 79,569 $ 81,691 $ 82,607 $ 80,912 $ 72,460 $ 76,525 $ 76,535 $ 78,039 $ 324,779 $ 303,559 $ 306,371
Gross profit 23,486 23,859 24,657 25,397 21,333 24,496 25,860 24,220 97,399 95,909 99,558
Income (loss) from operations 3,615 5,297 5,680 4,326 (2,310) 4,581 5,648 4,476 18,919 12,394 24,041
Income (loss) before provision for income taxes 3,375 5,060 9,269 4,185 (2,553) 4,346 5,391 4,631 21,889 11,815 23,315
Net income (loss) 2,076 3,151 6,767 2,239 (2,589) 2,813 3,202 2,899 14,233 6,325 13,407
Net (income) loss attributable to noncontrolling interest, net of tax (18) 42 (1,552) 184 1,282 47 123 (120) (1,345) 1,332 231
Net income attributable to CRA International, Inc $ 2,058 $ 3,193 $ 5,215 $ 2,423 $ (1,307) $ 2,860 $ 3,325 $ 2,779 $ 12,888 $ 7,657 $ 13,638
Basic net income (loss) per share (in dollars per share) $ 0.25 $ 0.39 $ 0.60 $ 0.27 $ (0.15) $ 0.32 $ 0.37 $ 0.30 $ 1.50 $ 0.84 $ 1.40
Diluted net income (loss) per share (in dollars per share) $ 0.24 $ 0.38 $ 0.59 $ 0.27 $ (0.15) $ 0.31 $ 0.36 $ 0.30 $ 1.49 $ 0.83 $ 1.38
GNU goodwill impairment         $ 4,500         $ 4,524  
Net charge after considering taxes and allocation of net loss to noncontrolling interest         $ 1,600            
Weighted average number of shares outstanding:                      
Basic (in shares) 8,269 8,177 8,695 8,871 8,876 8,940 9,034 9,190 8,503 9,010 9,747
Diluted (in shares) 8,443 8,309 8,779 8,927 8,876 9,025 9,253 9,403 8,601 9,195 9,897
Restatement Adjustment                      
Revenues         $ 700            
Income (loss) before provision for income taxes         $ 300