Income Taxes - Income Before Income Taxes, by Geographical Area (Details) - USD ($) $ in Thousands	12 Months Ended
	Oct. 03, 2021	Sep. 27, 2020	Sep. 29, 2019
Income before income taxes:
United States	$ 211,222	$ 209,443	$ 185,535
Foreign	55,648	18,548	(10,399)
Income before income tax expense	$ 266,870	$ 227,991	$ 175,136