Leases - Supplemental Cash Flow Information (Details) - USD ($) $ in Thousands	12 Months Ended
	Oct. 02, 2022	Oct. 03, 2021
Leases [Abstract]
Operating cash flows for operating leases	$ 71,365	$ 81,943
Right-of-use assets obtained in exchange for new operating lease liabilities	$ 44,096	$ 72,076