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Debt - Summary of Long-Term Debt (Detail) - USD ($)
$ in Thousands
Mar. 31, 2023
Sep. 30, 2022
Debt Instrument [Line Items]    
Long-term Debt, Gross $ 597,000 $ 600,000
Less unamortized deferred financing costs (4,354) (4,712)
Less unamortized original issue discount (4,074) (4,409)
Less current portion (6,000) (6,000)
Long-term debt—less current portion and unamortized deferred financing costs 582,572 584,879
2022 Term Loan [Member]    
Debt Instrument [Line Items]    
Long-term Debt, Gross 597,000 600,000
Revolving Credit Facility [Member]    
Debt Instrument [Line Items]    
Less unamortized deferred financing costs $ (800) $ (900)