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Net Income (Loss) Per Share - Computation of Basic and Diluted Loss Per Share (Details) - USD ($)
$ / shares in Units, $ in Thousands
3 Months Ended 9 Months Ended
Sep. 27, 2020
Sep. 29, 2019
Sep. 27, 2020
Sep. 29, 2019
Numerator:        
Net income (loss) attributed to PAE Incorporated $ 10,318 $ (32,170) $ 21,395 $ (35,216)
Denominator:        
Basic weighted average shares (in shares) 92,070,306 21,127,823 81,323,258 21,127,823
Diluted weighted average shares (in shares) 93,392,565 21,127,823 82,115,825 21,127,823
Basic income (loss) per share (in dollars per share) $ 0.11 $ (1.52) $ 0.26 $ (1.67)
Diluted income (loss) per share (in dollars per share) $ 0.11 $ (1.52) $ 0.26 $ (1.67)