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Stock-Based Compensation - Stock Compensation Expense (Detail) - USD ($) $ / shares in Units, $ in Thousands | 3 Months Ended | 6 Months Ended
--- | --- | ---
Apr. 30, 2022 | Apr. 30, 2021 | Apr. 30, 2022 | Apr. 30, 2021
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |  |
Stock-based compensation expense before taxes | [1] | $ 110,061 | $ 79,586 | $ 205,832 | $ 163,368
Income tax benefit |  | (17,852) | (12,407) | (33,386) | (25,469)
Stock-based compensation expense after taxes |  | $ 92,209 | 67,179 | $ 172,446 | 137,899
Restricted Stock Units (RSUs), Market-based |  |  |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |  |
Grant date fair value (in USD per share) |  |  |  | $ 280.82 |
Expected volatility |  |  |  | 33.01% |
Risk-free interest rate |  |  |  | 1.33% |
Expected term |  |  |  | 1 year 8 months 8 days |
Restricted Stock Units (RSUs), Market-based | Maximum |  |  |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |  |
Target number of initial award earned, percentage |  | 187.50% |  | 187.50% |
Cost of products |  |  |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |  |
Stock-based compensation expense before taxes |  | $ 13,078 | 9,304 | $ 24,285 | 18,656
Cost of maintenance and service |  |  |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |  |
Stock-based compensation expense before taxes |  | 5,893 | 3,411 | 10,476 | 6,746
Research and development expense |  |  |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |  |
Stock-based compensation expense before taxes |  | 58,109 | 40,507 | 107,649 | 81,801
Sales and marketing expense |  |  |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |  |
Stock-based compensation expense before taxes |  | 19,291 | 14,551 | 37,092 | 29,710
General and administrative expense |  |  |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |  |
Stock-based compensation expense before taxes |  | $ 13,690 | $ 11,813 | $ 26,330 | $ 26,455
[1] | (1) During the three and six months ended April 30, 2022, we recognized stock-based compensation expense relating to restricted stock units (RSUs), granted to senior executives in February 2022 with certain market, performance and service conditions (market-based RSUs). Under the award agreements, the vesting of the market-based RSUs is contingent on achieving total stockholder return (TSR) relative to a peer index as well as revenue growth metrics. The performance period during which the achievement goals will be measured is fiscal 2022 and fiscal 2023. The maximum potential awards that may be earned are 187.5% of the target number of the initial a wards. The awards will vest in equal increments in December 2023 and December 2024 if the TSR target, revenue growth metrics, and service conditions are achieved. The grant date fair value for the market-based RSUs of $280.82 was determined using a Monte Carlo simulation model with the following assumptions: expected volatility of 33.01%, risk-free interest rate of 1.33% and an expected term of 1.69 years.

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- Definition The estimated measure of the percentage by which a share price is expected to fluctuate during a period. Volatility also may be defined as a probability-weighted measure of the dispersion of returns about the mean. The volatility of a share price is the standard deviation of the continuously compounded rates of return on the share over a specified period. That is the same as the standard deviation of the differences in the natural logarithms of the stock prices plus dividends, if any, over the period. + 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 (f)(2)(ii) -URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901 + Details
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- Definition The weighted average grant-date fair value of options granted during the reporting period as calculated by applying the disclosed option pricing methodology. + 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)(1) -URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901 + Details
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- Definition Expected term of award under share-based payment arrangement, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days. + 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 (f)(2)(i) -URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SAB Topic 14.D.2) -URI http://asc.fasb.org/extlink&oid=122041274&loc=d3e301413-122809 + Details
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