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Income Taxes - Reconciliation Between Federal Statutory Income Tax Rate and Effective Tax Rate (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Income Tax Disclosure [Abstract]      
Effective Income Tax Rate Reconciliation, at Federal Statutory Income Tax Rate, Percent 21.00%    
Income tax provision at U.S. federal statutory rate $ 116,261 $ 98,975 $ 99,360
State income taxes, net of U.S. federal benefit 14,135 8,359 7,815
Foreign tax rate differential 9,489 3,058 1,490
Research credits (3,600) (5,932) (6,795)
Valuation allowance (14,451) (11,768) 3,839
Excess tax benefits relating to share-based compensation (949) 702 (15,573)
GILTI, FDII, BEAT and FTC (9,010) (2,491) (4,958)
Effective Income Tax Rate Reconciliation, Other Adjustments, Amount 12,374 6,865 (4,120)
Total provision $ 124,249 $ 97,768 $ 81,058