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Business Combinations and Acquisitions - Narrative (Details) - USD ($)
$ / shares in Units, $ in Thousands
3 Months Ended 12 Months Ended
Nov. 23, 2020
Nov. 20, 2020
Feb. 10, 2020
Dec. 31, 2020
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2018
Business Acquisition [Line Items]              
Common stock par value (in dollars per share)       $ 0.0001 $ 0.0001 $ 0.0001  
Goodwill       $ 590,668 $ 590,668 $ 409,588 $ 408,025
PE Shay Holdings, LLC              
Business Acquisition [Line Items]              
Post-closing adjustment, payment to management       20,200      
PAE Management              
Business Acquisition [Line Items]              
Post-closing adjustment, payment to management       $ 1,000      
Class A Common Stock              
Business Acquisition [Line Items]              
Common stock par value (in dollars per share)       $ 0.0001 $ 0.0001    
Shay Holding Corporation Merger              
Business Acquisition [Line Items]              
Aggregate cash consideration paid     $ 424,200        
Shay Holding Corporation Merger | Earn-Out Shares              
Business Acquisition [Line Items]              
Period following completion of business combination (in years)     5 years        
Shay Holding Corporation Merger | Additional Paid-in Capital              
Business Acquisition [Line Items]              
Acquisition fees and expenses       $ 20,900 $ 20,900    
Shay Holding Corporation Merger | Class A Common Stock              
Business Acquisition [Line Items]              
Consideration paid (in shares)     21,127,823        
Shay Holding Corporation Merger | Class A Common Stock | Earn-Out Shares              
Business Acquisition [Line Items]              
Maximum additional earn-out (in shares)     4,000,000        
CENTRA              
Business Acquisition [Line Items]              
Outstanding capital stock acquired (as a percent)   100.00%          
Business combination, consideration transferred   $ 225,300          
Goodwill   $ 125,113          
Revenue recognized         31,500    
Metis Solution              
Business Acquisition [Line Items]              
Outstanding capital stock acquired (as a percent) 100.00%            
Business combination, consideration transferred $ 95,700            
Goodwill $ 55,967            
Revenue recognized         $ 7,600