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Goodwill and Intangible Assets, net - Intangible Assets Subject to Amortization (Detail) - USD ($)
$ in Thousands
Dec. 31, 2024
Sep. 30, 2024
Finite Lived Intangible Assets [Line Items]    
Gross Carrying Amount $ 500,039 $ 499,235
Accum. Amortization 405,034 400,523
Net 95,005 98,712
Customer Lists    
Finite Lived Intangible Assets [Line Items]    
Gross Carrying Amount 453,144 452,340
Accum. Amortization 377,839 373,860
Net 75,305 78,480
Trade Names And Other Intangibles    
Finite Lived Intangible Assets [Line Items]    
Gross Carrying Amount 46,895 46,895
Accum. Amortization 27,195 26,663
Net $ 19,700 $ 20,232