Income Taxes - Income Before Income Taxes, by Geographical Area (Details) - USD ($) $ in Thousands	12 Months Ended
	Oct. 01, 2023	Oct. 02, 2022	Oct. 03, 2021
Income before income taxes:
United States	$ 287,295	$ 262,428	$ 211,222
Foreign	113,683	86,338	55,648
Income before income tax expense	$ 400,978	$ 348,766	$ 266,870