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Stock-Based Compensation - Additional Information (Details) - USD ($)
12 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]      
Shares authorized for grant under the plan 39,800,000    
Percentage of voting interest to be held by optionee 10.00%    
Exercise price as a percentage of fair value at the time of grant 110.00%    
Maximum months after sale event where awards fully vest when service relationship terminated without cause 18 months    
Minimum number of days that may be granted to terminated employee to exercise awards prior to termination 15 days    
Restricted stock granted 843,000 681,000 866,000
Stock-based compensation expense $ 116,190,000 $ 83,346,000 $ 53,154,000
Employee Stock Option      
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]      
Total unrecognized estimated unvested stock option compensation cost $ 1,000,000.0    
Weighted-average period of recognition of unrecognized compensation cost (years) 1 year    
Performance Shares      
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]      
Restricted stock unit vesting period 3 years    
RSU grant date fair value $ 238.99 $ 191.76 $ 120.94
Restricted Stock      
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]      
Stock-based compensation expense $ 109,900,000 $ 77,400,000 $ 46,300,000
Director Restricted Stock Units      
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]      
Restricted stock granted 11,259 13,632 18,018
RSU grant date fair value $ 187.53 $ 165.71 $ 123.38
Stock-based compensation expense $ 2,500,000 $ 2,300,000 $ 2,600,000
Market and Service Condition Stock Units      
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]      
Restricted stock unit vesting period 3 years    
Minimum | Restricted Stock Units (RSUs)      
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]      
Restricted stock unit vesting period 3 years    
Maximum      
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]      
Expiration period of options from the date of grant 10 years    
Expiration period for optionee who meets the 10% criteria 5 years    
Maximum | Restricted Stock Units (RSUs)      
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]      
Restricted stock unit vesting period 4 years    
ANSYS 1996 Employee Stock Purchase Plan | Employee Stock      
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]      
Shares authorized for grant under the plan 1,800,000    
Expiration period of options from the date of grant 6 months    
Share-based compensation arrangement by share-based payment award, maximum employee subscription rate 10.00%    
Share-based compensation arrangement by share-based payment award, maximum number of shares per employee 3,840    
Share-based compensation arrangement by share-based payment award, purchase price of common stock, percent 90.00%    
Share-based compensation arrangement by share-based payment award, maximum dollar amount of common stock purchasable in a calendar year $ 25,000    
Share-based compensation arrangement by share-based payment award, shares issued as of date 1,600,000    
Stock-based compensation expense $ 2,000,000.0 $ 1,800,000 $ 1,200,000
ANSYS 1996 Employee Stock Purchase Plan | Maximum | Employee Stock      
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]      
Share-based compensation arrangement by share-based payment award, eligibility, ownership percentage 5.00%