Stockholders' Equity and Stock Compensation Plans - Stock-based Compensation and Income Tax Benefits (Details) - USD ($) $ in Thousands	12 Months Ended
	Oct. 01, 2023	Oct. 02, 2022	Oct. 03, 2021
Share-Based Payment Arrangement [Abstract]
Total stock-based compensation	$ 28,607	$ 26,227	$ 23,067
Income tax benefit related to stock-based compensation	(5,779)	(5,377)	(4,910)
Stock-based compensation, net of tax benefit	$ 22,828	$ 20,850	$ 18,157