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Stock-Based Compensation - Stock Compensation Expense (Details) - USD ($)
$ in Thousands
3 Months Ended
Jan. 31, 2025
Jan. 31, 2024
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Total stock-based compensation expense before taxes $ 186,463 $ 180,652
Income tax benefit (30,655) (29,410)
Stock-based compensation expense after taxes 155,808 151,242
Continuing operations    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Total stock-based compensation expense before taxes 186,463 165,505
Discontinued operations    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Total stock-based compensation expense before taxes 0 15,147
Cost of products    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Total stock-based compensation expense before taxes 20,477 16,261
Cost of maintenance and service    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Total stock-based compensation expense before taxes 8,991 9,176
Research and development expense    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Total stock-based compensation expense before taxes 102,696 91,137
Sales and marketing expense    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Total stock-based compensation expense before taxes 34,950 30,573
General and administrative expense    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Total stock-based compensation expense before taxes $ 19,349 $ 18,358