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Stockholders' Equity and Stock Compensation Plans - Stock-based Compensation and Income Tax Benefits (Details) - USD ($) $ in Thousands | 12 Months Ended
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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

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