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Employee Benefit Plans - Additional Information (Details) - USD ($) $ in Millions | 12 Months Ended
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Sep. 30, 2023 | Sep. 30, 2022 | Sep. 30, 2021
Retirement Benefits [Abstract] |  |  |
Eligible employees contribution to 401(k) plan (up to 25%) | 25.00% |  |
Employer contributions into 401(k) plans | $ 8.9 | $ 8.2 | $ 9.8
Employee incentive plans expenses | $ 57.8 | $ 55.7 | $ 58.1

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