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Debt - Summary of Long-term Debt (Detail) - USD ($)
$ in Thousands
Mar. 31, 2022
Sep. 30, 2021
Debt Instrument [Line Items]    
Long-term debt $ 1,264,275  
Less: Current portion of long-term debt and other borrowings (46,500) $ (12,500)
Long-term debt, less current portion 1,218,235 984,818
Long-term Debt    
Debt Instrument [Line Items]    
Long-term debt 1,264,735 997,318
Total borrowings 1,295,775 1,020,525
Deferred financing costs (19,768) (17,692)
Original issue discount (11,272) (5,515)
Less: Current portion of long-term debt and other borrowings (46,500) (12,500)
Long-term debt, less current portion 1,218,235 984,818
Long-term Debt | Secured Credit Facility Term Loan, due October 2027    
Debt Instrument [Line Items]    
Long-term debt 1,014,275 1,020,525
Long-term Debt | Secured Credit Facility Incremental Term Loan, due October 2027    
Debt Instrument [Line Items]    
Long-term debt 250,000 0
Long-term Debt | Secured Credit Facility Revolving Loan    
Debt Instrument [Line Items]    
Long-term debt $ 31,500 $ 0