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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
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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

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