Stockholders' Equity and Stock Compensation Plans - Stock-based Compensation and Income Tax Benefits (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 29, 2024	Oct. 01, 2023	Oct. 02, 2022
Stockholders' Equity Note [Abstract]
Total stock-based compensation	$ 31,155	$ 28,607	$ 26,227
Income tax benefit related to stock-based compensation	(6,489)	(5,779)	(5,377)
Stock-based compensation, net of tax benefit	$ 24,666	$ 22,828	$ 20,850