Long-Term Debt - Schedule of Long-Term Debt (Details) - USD ($) $ in Thousands	Dec. 29, 2024	Sep. 29, 2024
Debt Instrument [Line Items]
Unamortized discount and issuance costs	$ (11,550)	$ (12,366)
Long-term debt	888,450	812,634
Line of Credit
Debt Instrument [Line Items]
Long-term debt, gross	325,000	250,000
Convertible Debt
Debt Instrument [Line Items]
Long-term debt, gross	$ 575,000	$ 575,000