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Stock-Based Compensation (Tables) | 6 Months Ended
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Apr. 30, 2023
Share-Based Payment Arrangement [Abstract] |
Stock Compensation Arrangements | The compensation cost recognized in the condensed consolidated statements of income for our stock compensation arrangements was as follows:
| Three Months Ended April 30, |  | Six Months Ended April 30,
| 2023 |  | 2022 |  | 2023 |  | 2022
| (in thousands)
Cost of products | $ | 16,895 |  |  | $ | 13,078 |  |  | $ | 32,924 |  |  | $ | 24,285 |
Cost of maintenance and service | 7,531 |  |  | 5,893 |  |  | 14,686 |  |  | 10,476 |
Research and development expense | 75,355 |  |  | 58,109 |  |  | 144,586 |  |  | 107,649 |
Sales and marketing expense | 26,937 |  |  | 19,291 |  |  | 51,844 |  |  | 37,092 |
General and administrative expense | 16,540 |  |  | 13,690 |  |  | 33,445 |  |  | 26,330 |
Stock-based compensation expense before taxes | 143,258 |  |  | 110,061 |  |  | 277,485 |  |  | 205,832 |
Income tax benefit | (23,193) |  |  | (17,852) |  |  | (44,925) |  |  | (33,386) |
Stock-based compensation expense after taxes | $ | 120,065 |  |  | $ | 92,209 |  |  | $ | 232,560 |  |  | $ | 172,446 |
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 April 30, |  | Six Months Ended April 30,
| 2023 |  | 2022 |  | 2023 |  | 2022
Expected life (in years) | 2.70 years |  | 1.69 years |  | 0.90 years - 2.70 years |  | 1.69 years
Risk-free interest rate | 4.36 | % |  | 1.33 | % |  | 4.36% - 4.63% |  | 1.33 | %
Volatility | 35.84 | % |  | 33.01 | % |  | 35.84% - 42.86% |  | 33.01 | %
Grant date fair value | $ | 357.29 |  |  | $ | 280.82 |  |  | $357.29 - $408.55 |  | $ | 280.82 |
Schedule of Intrinsic Value of Equity Awards Exercised | The intrinsic values of equity awards exercised during the periods were as follows:
| Three Months Ended April 30, |  | Six Months Ended April 30,
| 2023 |  | 2022 |  | 2023 |  | 2022
| (in thousands)
Intrinsic value of awards exercised | $ | 63,447 |  |  | $ | 46,464 |  |  | $ | 118,223 |  |  | $ | 159,389 |

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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 -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (h)(1) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + 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 -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (d)(2) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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