Long-Term Debt - Summary of Maturities of Borrowing Obligations (Details) - USD ($) $ in Thousands	Sep. 30, 2023	Oct. 01, 2022	Sep. 30, 2022
Debt Instrument [Line Items]
2025	$ 87,500
2028	210,000
Total before unamortized discount and issuance costs and current portion	297,500
Less: unamortized discount and issuance costs	(21,549)
Total long-term debt	275,951	$ 270,430	$ 259,436
2028 Notes
Debt Instrument [Line Items]
2028	122,500
Total before unamortized discount and issuance costs and current portion	122,500
Less: unamortized discount and issuance costs	(2,271)
Total long-term debt	120,229
2025 Modified Notes
Debt Instrument [Line Items]
2025	87,500
2028	87,500
Total before unamortized discount and issuance costs and current portion	175,000
Less: unamortized discount and issuance costs	(19,278)
Total long-term debt	$ 155,722