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Stock Option and Incentive Plan - Employee Equity-Based Compensation Pre-Tax Expense (Detail) - USD ($) $ in Thousands | 12 Months Ended
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Sep. 30, 2022 | Sep. 30, 2021 | Sep. 30, 2020
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items] |  |  |
Equity-based compensation pre-tax expense | $ 71,807 | $ 54,249 | $ 42,434
Cost of Revenue [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items] |  |  |
Equity-based compensation pre-tax expense | 32,096 | 22,691 | 20,005
Research and Development [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items] |  |  |
Equity-based compensation pre-tax expense | 5,631 | 4,021 | 3,058
Selling, General and Administrative [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items] |  |  |
Equity-based compensation pre-tax expense | $ 34,080 | $ 27,537 | $ 19,371

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- Definition Amount of expense for award under share-based payment arrangement. Excludes amount capitalized. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (h)(1)(i) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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