Leases - Supplemental Cash Flow Information (Details) - USD ($) $ in Thousands	12 Months Ended
	Oct. 01, 2023	Oct. 02, 2022
Leases [Abstract]
Operating cash flows for operating leases	$ 78,268	$ 71,365
Right-of-use assets obtained in exchange for new operating lease liabilities	$ 70,552	$ 44,096