Debt - Schedule of Long-term Debt (Details) - USD ($) $ in Thousands	Jul. 01, 2023	Oct. 01, 2022
Debt Instrument [Line Items]
Current portion of long-term debt	$ 19,800	$ 19,800
Long-term debt	115,149	130,390
Senior Term Loan | 2023 Term Loan
Debt Instrument [Line Items]
Total debt	134,949	150,190
Deferred financing costs	$ 1,801	$ 1,410