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Stock-Based Compensation (Tables) | 6 Months Ended
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Apr. 30, 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 April 30, |  | Six Months Ended April 30,
| 2025 |  | 2024 |  | 2025 |  | 2024
| (in thousands)
Cost of products | $ | 23,050 |  |  | $ | 13,918 |  |  | $ | 43,527 |  |  | $ | 30,179 |
Cost of maintenance and service | 9,502 |  |  | 9,273 |  |  | 18,493 |  |  | 18,449 |
Research and development expense | 109,717 |  |  | 88,671 |  |  | 212,413 |  |  | 179,808 |
Sales and marketing expense | 36,700 |  |  | 30,987 |  |  | 71,650 |  |  | 61,560 |
General and administrative expense | 22,754 |  |  | 19,842 |  |  | 42,103 |  |  | 38,200 |
Stock-based compensation expense from continuing operations before taxes | 201,723 |  |  | 162,691 |  |  | 388,186 |  |  | 328,196 |
Stock-based compensation expense from discontinued operations before taxes | — |  |  | 15,144 |  |  | — |  |  | 30,291 |
Total stock-based compensation expense before taxes | 201,723 |  |  | 177,835 |  |  | 388,186 |  |  | 358,487 |
Income tax benefit | (32,659) |  |  | (28,809) |  |  | (62,847) |  |  | (58,075) |
Stock-based compensation expense after taxes | $ | 169,064 |  |  | $ | 149,026 |  |  | $ | 325,339 |  |  | $ | 300,412 |
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:
| Three Months Ended April 30, |  | Six Months Ended April 30,
| 2025 |  | 2024 |  | 2025 |  | 2024
Expected life (in years) | 2.67 years |  | — |  |  | 2.67 years - 2.79 years |  | 2.89 years
Risk-free interest rate | 3.90 | % |  | — |  |  | 3.90% - 4.39% |  | 4.41%
Volatility | 33.40 | % |  | — |  |  | 33.40% - 34.72% |  | 34.03%
Grant date fair value | $409.94 |  | — |  |  | $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 April 30, |  | Six Months Ended April 30,
| 2025 |  | 2024 |  | 2025 |  | 2024
| (in thousands)
Intrinsic value of awards exercised | $ | 34,479 |  |  | $ | 48,164 |  |  | $ | 54,837 |  |  | $ | 76,019 |

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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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