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Net Income Per Share (Details) - USD ($) $ in Thousands | 12 Months Ended
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Jan. 02, 2021 | Dec. 28, 2019 | Dec. 29, 2018
Net Income (Loss) Available to Common Stockholders, Diluted [Abstract] |  |  |
Net income attributable to CRA, as reported | $ 24,507 | $ 20,747 | $ 22,492
Less: net income attributable to participating shares | 93 | 55 | 108
Net income available to common shareholders | $ 24,414 | $ 20,692 | $ 22,384
Reconciliation of basic to diluted weighted average shares of common stock outstanding |  |  |
Basic weighted average shares outstanding (shares) | 7,768,000 | 7,866,000 | 8,107,000
Stock options and restricted stock units (shares) | 180,000 | 301,000 | 463,000
Diluted weighted average shares outstanding (shares) | 7,948,000 | 8,167,000 | 8,570,000
Calculation of common stock equivalents for purposes of computing diluted weighted average shares outstanding |  |  |
Anti-dilutive securities excluded from EPS computation (in shares) | 80,211,000 | 62,367,000 | 29,612,000

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