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Stock Option and Incentive Plan - Employee Equity-Based Compensation Pre-Tax Expense (Detail) - USD ($)
$ in Thousands
12 Months Ended
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