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Goodwill and Intangible Assets, net - Intangible Assets Subject to Amortization (Detail) - USD ($)
$ in Thousands
Jun. 30, 2021
Sep. 30, 2020
Finite Lived Intangible Assets [Line Items]    
Gross Carrying Amount $ 444,461 $ 420,324
Accum. Amortization 344,027 330,031
Net 100,434 90,293
Customer Lists    
Finite Lived Intangible Assets [Line Items]    
Gross Carrying Amount 403,913 382,942
Accum. Amortization 325,079 312,928
Net 78,834 70,014
Trade Names And Other Intangibles    
Finite Lived Intangible Assets [Line Items]    
Gross Carrying Amount 40,548 37,382
Accum. Amortization 18,948 17,103
Net $ 21,600 $ 20,279