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Employee Benefit Plans (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Defined Benefit Plans and Other Postretirement Benefit Plans Disclosures [Abstract]      
Contributions by the Company to the plan $ 14.0 $ 13.2 $ 11.3
Employer contribution, vesting period 4 years 4 years 4 years