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Stock-Based Compensation (Tables) | 3 Months Ended
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Jan. 31, 2024
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 January 31, |  |
| 2024 |  | 2023 |  |  |  |
| (in thousands)
Cost of products | $ | 20,680 |  |  | $ | 16,029 |  |  |  |  |
Cost of maintenance and service | 9,176 |  |  | 7,155 |  |  |  |  |
Research and development expense | 94,888 |  |  | 69,231 |  |  |  |  |
Sales and marketing expense | 35,353 |  |  | 24,907 |  |  |  |  |
General and administrative expense | 20,555 |  |  | 16,905 |  |  |  |  |
Stock-based compensation expense before taxes | 180,652 |  |  | 134,227 |  |  |  |  |
Income tax benefit | (29,410) |  |  | (21,570) |  |  |  |  |
Stock-based compensation expense after taxes | $ | 151,242 |  |  | $ | 112,657 |  |  |  |  |
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 were as follows:
| Three Months Ended January 31, |  |
| 2024 |  | 2023 |  |  |  |
Expected life (in years) | 2.89 years |  | 0.90 years |  |  |  |
Risk-free interest rate | 4.41 | % |  | 4.63 | % |  |  |  |
Volatility | 34.03 | % |  | 42.86 | % |  |  |  |
Grant date fair value | $ | 600.29 |  |  | $ | 408.55 |  |  |  |  |
Schedule of Intrinsic Value of Equity Awards Exercised | The intrinsic values of equity awards exercised during the periods are as follows:
| Three Months Ended January 31, |  |
| 2024 |  | 2023 |  |  |  |
| (in thousands)
Intrinsic value of awards exercised | $ | 27,855 |  |  | $ | 54,776 |  |  |  |  |

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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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