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Goodwill and Intangible Assets, net - Intangible Assets Subject to Amortization (Detail) - USD ($)
$ in Thousands
Mar. 31, 2023
Sep. 30, 2022
Finite Lived Intangible Assets [Line Items]    
Gross Carrying Amount $ 451,194 $ 451,716
Accum. Amortization 373,656 367,206
Net 77,538 84,510
Customer Lists    
Finite Lived Intangible Assets [Line Items]    
Gross Carrying Amount 409,679 409,980
Accum. Amortization 351,123 345,237
Net 58,556 64,743
Trade Names And Other Intangibles    
Finite Lived Intangible Assets [Line Items]    
Gross Carrying Amount 41,515 41,736
Accum. Amortization 22,533 21,969
Net $ 18,982 $ 19,767