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Stockholders' Equity and Stock Compensation Plans - ESPP Fair Value Assumptions (Details) - ESPP
12 Months Ended
Oct. 02, 2022
Oct. 03, 2021
Sep. 27, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Dividend yield 1.00% 1.00% 1.00%
Expected stock price volatility 32.20% 47.90% 26.50%
Risk-free rate of return, annual 0.40% 0.10% 1.60%
Expected life (in years) 1 year 1 year 1 year