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Net Income (Loss) Per Share (Tables)
12 Months Ended
Dec. 31, 2020
Earnings Per Share [Abstract]  
Computation of Basic and Diluted Loss Per Share The following table sets forth the computation of basic and diluted loss per share attributable to the Company’s common stockholders for the periods presented (in thousands, except shares and per share amounts): 
Year Ended December 31,
202020192018
(Restated)
Numerator:
Net income (loss) attributed to PAE Incorporated$28,750 $(49,809)$(34,459)
Denominator:
Basic weighted average shares 84,114,016 21,127,823 21,127,823 
           Diluted weighted average shares 85,369,328 21,127,823 21,127,823 
Basic income (loss) per share $0.34 $(2.36)$(1.63)
Diluted income (loss) per share$0.34 $(2.36)$(1.63)