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Stock-Based Compensation (Tables) | 9 Months Ended
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Jul. 31, 2025
Share-Based Payment Arrangement [Abstract] |
Schedule of Stock Compensation Arrangements | The compensation cost recognized in the condensed consolidated statements of income for our stock compensation arrangements is as follows:
| Three Months Ended July 31, |  | Nine Months Ended July 31,
| 2025 |  | 2024 |  | 2025 |  | 2024
| (in thousands)
Cost of products | $ | 22,943 |  |  | $ | 14,645 |  |  | $ | 66,470 |  |  | $ | 44,824 |
Cost of maintenance and service | 10,222 |  |  | 9,677 |  |  | 28,715 |  |  | 28,126 |
Research and development expense | 113,861 |  |  | 89,279 |  |  | 326,274 |  |  | 269,087 |
Sales and marketing expense | 45,564 |  |  | 30,251 |  |  | 117,214 |  |  | 91,811 |
General and administrative expense | 75,133 |  |  | 20,502 |  |  | 117,236 |  |  | 58,702 |
Stock-based compensation expense from continuing operations before taxes | 267,723 |  |  | 164,354 |  |  | 655,909 |  |  | 492,550 |
Stock-based compensation expense from discontinued operations before taxes | — |  |  | 17,185 |  |  | — |  |  | 47,476 |
Total stock-based compensation expense before taxes | 267,723 |  |  | 181,539 |  |  | 655,909 |  |  | 540,026 |
Income tax benefit | (38,686) |  |  | (29,972) |  |  | (94,779) |  |  | (89,158) |
Stock-based compensation expense after taxes | $ | 229,037 |  |  | $ | 151,567 |  |  | $ | 561,130 |  |  | $ | 450,868 |
Schedule of Share-Based Payment Award, Restricted Stock Units, Valuation Assumptions | The grant date fair value of the market-based RSUs and the assumptions used in the Monte Carlo simulation model to determine the grant date fair value during the periods are as follows:
|  |  | Nine Months Ended July 31,
|  |  |  |  | 2025 |  | 2024
Expected life (in years) |  |  |  |  | 2.67 - 2.79 |  | 2.89
Risk-free interest rate |  |  |  |  | 3.90% - 4.39% |  | 4.41%
Volatility |  |  |  |  | 33.40% - 34.72% |  | 34.03%
Grant date fair value |  |  |  |  | $409.94 - $464.17 |  | $600.29
Schedule of Intrinsic Value of Equity Awards Exercised | The intrinsic values of equity awards exercised during the periods are as follows:
| Three Months Ended July 31, |  | Nine Months Ended July 31,
| 2025 |  | 2024 |  | 2025 |  | 2024
| (in thousands)
Intrinsic value of awards exercised | $ | 31,834 |  |  | $ | 90,973 |  |  | $ | 86,671 |  |  | $ | 166,993 |

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- Definition Tabular disclosure of allocation of amount expensed and capitalized for award under share-based payment arrangement to statement of income or comprehensive income and statement of financial position. Includes, but is not limited to, corresponding line item in financial statement. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (h)(1) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
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- Definition Tabular disclosure of the total intrinsic value of options exercised (or share units converted), share-based liabilities paid, and the total fair value of shares vested during the year. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Topic 718 -SubTopic 10 -Subparagraph (d)(2) -Name Accounting Standards Codification -Paragraph 2 -Section 50 -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
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