Income Taxes - Schedule of Domestic and Foreign Components of Income (Loss) Before Income Taxes (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2023	Oct. 01, 2022	Oct. 02, 2021
Income Tax Disclosure [Abstract]
U.S.	$ (84,557)	$ (64,267)	$ (33,409)
Foreign	245,570	222,570	193,820
Income before income taxes	$ 161,013	$ 158,303	$ 160,411