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Stock-Based Compensation - Stock Compensation Expense (Details) - USD ($) $ in Thousands | 3 Months Ended
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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

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