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Goodwill and Intangible Assets, net - Intangible Assets Subject to Amortization (Detail) - USD ($)
$ in Thousands
Jun. 30, 2023
Sep. 30, 2022
Finite Lived Intangible Assets [Line Items]    
Gross Carrying Amount $ 451,194 $ 451,716
Accum. Amortization 377,922 367,206
Net 73,272 84,510
Customer Lists    
Finite Lived Intangible Assets [Line Items]    
Gross Carrying Amount 409,679 409,980
Accum. Amortization 354,922 345,237
Net 54,757 64,743
Trade Names And Other Intangibles    
Finite Lived Intangible Assets [Line Items]    
Gross Carrying Amount 41,515 41,736
Accum. Amortization 23,000 21,969
Net $ 18,515 $ 19,767