Debt, Finance Lease and Other Financing Obligations - Narrative (Details) - USD ($) $ in Thousands	6 Months Ended
	Apr. 01, 2023	Apr. 02, 2022	Oct. 01, 2022
Debt Instrument [Line Items]
Fair value of debt	$ 428,300		$ 401,600
Long-term debt, gross	$ 434,000		$ 413,000
Revolving Credit Facility
Debt Instrument [Line Items]
Credit facility, term	5 years
Highest daily borrowings	$ 412,000	$ 294,000
Average daily borrowings	$ 344,500	$ 168,700