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Net Income Per Share (Details) - USD ($) $ / shares in Units, $ in Thousands	3 Months Ended								12 Months Ended
	Dec. 29, 2018	Sep. 29, 2018	Jun. 30, 2018	Mar. 31, 2018	Dec. 30, 2017	Sep. 30, 2017	Jul. 01, 2017	Apr. 01, 2017	Dec. 29, 2018	Dec. 30, 2017	Dec. 31, 2016
Net income available to common shareholders
Net income attributable to CRA as reported	$ 6,859	$ 3,908	$ 6,839	$ 4,886	$ (2,256)	$ 3,214	$ 3,813	$ 2,853	$ 22,492	$ 7,624	$ 12,888
Less: net income attributable to participating shares									108	51	95
Net income attributable to CRA common shareholders									$ 22,384	$ 7,573	$ 12,793
Reconciliation of basic to diluted weighted average shares of common stock outstanding
Basic weighted average shares outstanding									8,107,000	8,292,000	8,503,000
Stock options and restricted stock units									463,000	205,000	98,000
Diluted weighted average shares outstanding									8,570,000	8,497,000	8,601,000
Basic (in dollars per share)	$ 0.85	$ 0.48	$ 0.84	$ 0.59	$ (0.27)	$ 0.39	$ 0.45	$ 0.34	$ 2.76	$ 0.91	$ 1.50
Diluted (in dollars per share)	$ 0.81	$ 0.46	$ 0.79	$ 0.57	$ (0.28)	$ 0.38	$ 0.44	$ 0.33	$ 2.61	$ 0.89	$ 1.49
Calculation of common stock equivalents for purposes of computing diluted weighted average shares outstanding
Anti-dilutive securities excluded from EPS computation (in shares)									29,612	75,004	581,546

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