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Stockholders' Equity and Stock Compensation Plans - ESPP Summary (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Thousands
12 Months Ended
Oct. 03, 2021
Sep. 27, 2020
Sep. 29, 2019
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Cash received from exercise of purchase rights $ 11,250 $ 10,334 $ 11,751
ESPP      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Shares purchased (in shares) 124 168 148
Weighted-average purchase price per share (in dollars per share) $ 86.16 $ 51.77 $ 46.38
Cash received from exercise of purchase rights $ 10,705 $ 8,715 $ 6,844