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Stockholders' Equity and Stock Compensation Plans - ESPP Fair Value Assumptions (Details) - ESPP
12 Months Ended
Oct. 01, 2023
Oct. 02, 2022
Oct. 03, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Dividend yield 0.70% 1.00% 1.00%
Expected stock price volatility 38.00% 32.20% 47.90%
Risk-free rate of return, annual 4.70% 0.40% 0.10%
Expected life (in years) 1 year 1 year 1 year