Long-Term Debt - Rates and Ratios (Details)		12 Months Ended
	Mar. 10, 2022	Sep. 30, 2022	Sep. 30, 2021
Debt Instrument
Debt covenant, leverage ratio		6.00
Term Loan
Debt Instrument
Interest rate, stated percentage			4.75%
Revolving Credit Facility
Debt Instrument
Unused capacity on line of credit commitment fee percentage		0.25%
Debt Instrument, Interest Rate, Effective Percentage		8.50%
Revolving Credit Facility | Minimum
Debt Instrument
Unused capacity on line of credit commitment fee percentage		0.25%
Revolving Credit Facility | Maximum
Debt Instrument
Unused capacity on line of credit commitment fee percentage		0.375%
Revolving Credit Facility | Base Rate
Debt Instrument
Basis spread on variable interest rate	2.00%
Revolving Credit Facility | Base Rate | Minimum
Debt Instrument
Basis spread on variable interest rate	2.00%
Revolving Credit Facility | Base Rate | Maximum
Debt Instrument
Basis spread on variable interest rate	2.75%
Revolving Credit Facility | Eurodollar
Debt Instrument
Basis spread on variable interest rate	3.00%
Revolving Credit Facility | Eurodollar | Minimum
Debt Instrument
Basis spread on variable interest rate	3.00%
Revolving Credit Facility | Eurodollar | Maximum
Debt Instrument
Basis spread on variable interest rate	3.75%
Revolving Credit Facility | SOFR Rate
Debt Instrument
Basis spread on variable interest rate	3.00%
Revolving Credit Facility | SOFR Rate | Minimum
Debt Instrument
Basis spread on variable interest rate	3.00%
Revolving Credit Facility | SOFR Rate | Maximum
Debt Instrument
Basis spread on variable interest rate	3.75%
Revolving Credit Facility | British Pound Sterling Rate
Debt Instrument
Basis spread on variable interest rate	3.00%
Revolving Credit Facility | British Pound Sterling Rate | Minimum
Debt Instrument
Basis spread on variable interest rate	3.00%
Revolving Credit Facility | British Pound Sterling Rate | Maximum
Debt Instrument
Basis spread on variable interest rate	3.75%
Old Revolving Credit Facility | Minimum
Debt Instrument
Unused capacity on line of credit commitment fee percentage		0.25%
Old Revolving Credit Facility | Maximum
Debt Instrument
Unused capacity on line of credit commitment fee percentage		0.50%
Old Revolving Credit Facility | Base Rate | Minimum
Debt Instrument
Basis spread on variable interest rate		2.75%
Old Revolving Credit Facility | Base Rate | Median
Debt Instrument
Basis spread on variable interest rate		3.00%
Old Revolving Credit Facility | Base Rate | Maximum
Debt Instrument
Basis spread on variable interest rate		3.25%
Old Revolving Credit Facility | Eurodollar | Minimum
Debt Instrument
Basis spread on variable interest rate		3.75%
Old Revolving Credit Facility | Eurodollar | Median
Debt Instrument
Basis spread on variable interest rate		4.00%
Old Revolving Credit Facility | Eurodollar | Maximum
Debt Instrument
Basis spread on variable interest rate		4.25%
Old Revolving Credit Facility | Excess Cash Flow Ratio
Debt Instrument
Debt covenant, leverage ratio		3.35
Old Revolving Credit Facility | High-End Ratio
Debt Instrument
Debt covenant, leverage ratio		3.50
Old Revolving Credit Facility | Low-End Ratio
Debt Instrument
Debt covenant, leverage ratio		2.50
Senior Notes [Member] | 7.00% Senior Notes Maturing in March 2030
Debt Instrument
Interest rate, stated percentage		7.00%