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Acquisitions - Additional Information (Details) - USD ($)
shares in Thousands, $ in Thousands
12 Months Ended
Dec. 01, 2020
Apr. 01, 2020
Nov. 01, 2019
Feb. 01, 2019
May 02, 2018
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2018
Acquisition costs           $ 5,100 $ 6,600 $ 3,500
Total consideration transferred at fair value           830,032 1,128,788  
Fair value of common stock issued as consideration in connection with acquisitions           218,348 308,704  
Analytical Graphics, Inc.                
Percentage of shares acquired 100.00%              
Payments to acquire businesses, gross $ 722,500              
Total consideration transferred at fair value 722,487              
Fair value of common stock issued as consideration in connection with acquisitions $ 218,348              
Lumerical                
Percentage of shares acquired   100.00%            
Payments to acquire businesses, gross   $ 107,500            
Total consideration transferred at fair value   $ 107,545            
Livermore Software Technology Corporation                
Percentage of shares acquired     100.00%          
Payments to acquire businesses, gross     $ 472,800          
Total consideration transferred at fair value     $ 781,504          
Business acquisition, equity interest issued or Issuable, number of shares     1,400          
Fair value of common stock issued as consideration in connection with acquisitions     $ 308,704          
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Indemnification Asset, Resolved     34,000          
Livermore Software Technology Corporation | Common Stock                
Fair value of common stock issued as consideration in connection with acquisitions     307,200          
Livermore Software Technology Corporation | Treasury Stock                
Fair value of common stock issued as consideration in connection with acquisitions     $ 1,500          
Granta Design                
Percentage of shares acquired       100.00%        
Payments to acquire businesses, gross       $ 208,700        
Total consideration transferred at fair value       $ 208,736        
Series of Individually Immaterial Business Acquisitions                
Payments to acquire businesses, gross             138,500  
Total consideration transferred at fair value             $ 138,548  
OPTIS                
Percentage of shares acquired         100.00%      
Payments to acquire businesses, gross         $ 291,000      
Goodwill, period increase (decrease)           $ 2,600