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Stock-Based Compensation - Additional Information (Details) - USD ($)
$ / shares in Units, $ in Thousands, shares in Millions
3 Months Ended 9 Months Ended
Jul. 31, 2025
Jul. 31, 2024
Jul. 31, 2025
Jul. 31, 2024
Jul. 17, 2025
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Total stock-based compensation expense before taxes $ 267,723 $ 181,539 $ 655,909 $ 540,026  
Assumed Equity Awards | Ansys, Inc          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Estimated fair value         $ 639,700
Total stock-based compensation expense before taxes 67,200        
Unrecognized stock-based compensation expense 432,500   $ 432,500    
Weighted-average period of recognition for unrecognized stock-based compensation expense     1 year 8 months 26 days    
Assumed Equity Awards, recognized as goodwill | Ansys, Inc          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Estimated fair value         131,000
Assumed Equity Awards, to be recognized as stock-based compensation expense | Ansys, Inc          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Estimated fair value         $ 508,700
Nonvested awards (in shares)         1.1
Estimated weighted average fair value (in USD per share)         $ 453.83
Options, Restricted Stock and Restricted Stock Units          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Unrecognized stock-based compensation expense 1,700,000   $ 1,700,000    
Weighted-average period of recognition for unrecognized stock-based compensation expense     2 years    
ESPP          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Unrecognized stock-based compensation expense $ 109,200   $ 109,200    
Weighted-average period of recognition for unrecognized stock-based compensation expense     2 years