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Goodwill and Other Intangible Assets - Additional Information (Detail) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Goodwill and Intangible Assets Disclosure [Abstract]      
Amortization expense for intangible assets $ 18.2 $ 19.0 $ 19.6