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Quarterly Financial Data (Unaudited) (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Thousands
 3 Months Ended 12 Months Ended
Nov. 20, 2017
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
Quarterly Financial Data (Unaudited)                        
Revenues   $ 97,016 $ 91,325 $ 93,563 $ 88,171 $ 79,569 $ 81,691 $ 82,607 $ 80,912 $ 370,075 $ 324,779 $ 303,559
Income (loss) from operations   (642) 5,647 5,848 4,911 3,615 5,297 5,680 4,326 15,764 18,919 12,394
Income (loss) before provision for income taxes   (898) 5,535 5,919 4,608 3,375 5,060 9,269 4,185 15,164 21,889 11,815
Net income (loss)   (2,261) 3,225 3,907 2,830 2,076 3,151 6,767 2,239 7,701 14,233 6,325
Net (income) loss attributable to noncontrolling interest, net of tax   5 (11) (94) 23 (18) 42 (1,552) 184 (77) (1,345) 1,332
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
Basic net income (loss) per share (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 net income (loss) per share (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
Weighted average number of shares outstanding:                        
Basic (in shares)   8,171 8,149 8,428 8,419 8,269 8,177 8,695 8,871 8,292 8,503 9,010
Diluted (in shares)   8,171 8,353 8,618 8,621 8,443 8,309 8,779 8,927 8,497 8,601 9,195
Claims under the Transaction agreement with IQVIA Inc settled $ 5,700