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Employee Stock Award and Benefit Plans - Stock Option and Award Plans (Details) - USD ($)
12 Months Ended
Oct. 02, 2021
Oct. 03, 2020
Sep. 28, 2019
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Initial RSU grants to new non-employee directors, fair value $ 225,000    
Stock vesting periods (in years) 2 years    
Annual RSU grants to non-employee directors, fair value $ 225,000    
2011 Plan      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Number of common stock remain available for grant (in shares) 270,371    
Number shares purchased for award (in shares) 3,080,000    
2020 Plan      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Number of common stock remain available for grant (in shares) 2,347,532    
Employee Stock Purchase Plans      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Maximum employee subscription rate 10.00%    
Discount from market price, offering date 85.00%    
Employee stock purchase plans (in shares) 120,023 107,284 108,034
Weighted average price of shares purchased (in dollars per share) $ 104.00 $ 114.54 $ 109.32
Capital shares reserved for future issuance (in shares) 273,442    
Time Based Restricted Stock Units      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock vesting periods (in years) 3 years    
Time Based Restricted Stock Units | Director      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock vesting periods (in years) 2 years    
Performance Restricted Stock Units      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock vesting periods (in years) 3 years