Stockholders' Equity and Stock Compensation Plans - ESPP Summary (Details) - USD ($) $ / shares in Units, shares in Thousands, $ in Thousands	12 Months Ended
	Sep. 29, 2024	Oct. 01, 2023	Oct. 02, 2022
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Cash received from exercise of purchase rights	$ 3,067	$ 626	$ 1,806
ESPP
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Shares purchased (in shares)	522	492	531
Weighted-average purchase price per share (in dollars per share)	$ 28.14	$ 25.66	$ 22.83
Cash received from exercise of purchase rights	$ 14,675	$ 12,628	$ 12,129