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Goodwill and Intangible Assets, net - Intangible Assets Subject to Amortization (Detail) - USD ($)
$ in Thousands
Mar. 31, 2021
Sep. 30, 2020
Finite Lived Intangible Assets [Line Items]    
Gross Carrying Amount $ 441,607 $ 420,324
Accum. Amortization 339,128 330,031
Net 102,479 90,293
Customer Lists    
Finite Lived Intangible Assets [Line Items]    
Gross Carrying Amount 401,630 382,942
Accum. Amortization 320,809 312,928
Net 80,821 70,014
Trade Names And Other Intangibles    
Finite Lived Intangible Assets [Line Items]    
Gross Carrying Amount 39,977 37,382
Accum. Amortization 18,319 17,103
Net $ 21,658 $ 20,279