Income Taxes - Income Before Income Taxes, by Geographical Area (Details) - USD ($) $ in Thousands	12 Months Ended
	Oct. 02, 2022	Oct. 03, 2021	Sep. 27, 2020
Income before income taxes:
United States	$ 262,428	$ 211,222	$ 209,443
Foreign	86,338	55,648	18,548
Income before income tax expense	$ 348,766	$ 266,870	$ 227,991