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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 6 Months Ended 9 Months Ended 12 Months Ended
Sep. 27, 2020
Jun. 28, 2020
Mar. 29, 2020
Jun. 28, 2020
Sep. 27, 2020
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2018
Numerator:                
Net income (loss) attributed to PAE Incorporated $ 15,318 $ (3,446) $ 25,984 $ 22,538 $ 37,855 $ 28,750 $ (49,809) $ (34,459)
Denominator:                
Basic weighted average shares (in shares) 92,070,306 92,044,098 59,807,549 75,890,028 81,323,258 84,114,016 21,127,823 21,127,823
Diluted weighted average shares (in shares) 93,392,565 92,787,379 59,807,549 76,273,931 82,115,825 85,369,328 21,127,823 21,127,823
Basic income (loss) per share (in dollars per share) $ 0.17 $ (0.04) $ 0.43 $ 0.30 $ 0.47 $ 0.34 $ (2.36) $ (1.63)
Diluted income (loss) per share (in dollars per share) $ 0.16 $ (0.04) $ 0.43 $ 0.30 $ 0.46 $ 0.34 $ (2.36) $ (1.63)