Income Taxes - Schedule of Domestic and Foreign Components of Income (Loss) Before Income Taxes (Details) - USD ($) $ in Thousands	12 Months Ended
	Oct. 01, 2022	Oct. 02, 2021	Oct. 03, 2020
Income Tax Disclosure [Abstract]
U.S.	$ (64,267)	$ (33,409)	$ (69,102)
Foreign	222,570	193,820	204,499
Income before income taxes	$ 158,303	$ 160,411	$ 135,397