Debt - Schedule of Debt (Details) - USD ($) $ in Thousands	Dec. 31, 2023	Sep. 30, 2023
Debt Instrument [Line Items]
Total long-term debt	$ 443,100	$ 376,850
Deferred debt issuance costs	(1,036)	(1,110)
Current maturities of long-term debt	(15,000)	(15,000)
Long-term debt, net of current maturities and deferred debt issuance costs	427,064	360,740
Term Loan
Debt Instrument [Line Items]
Total long-term debt	280,000	283,750
Revolving Credit Facility
Debt Instrument [Line Items]
Total long-term debt	$ 163,100	$ 93,100