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Employee Stock Purchase and Stock Incentive Plans (Stock Issuance Activity Under the ESPP) (Details) - USD ($)
 12 Months Ended
Oct. 01, 2021
Oct. 02, 2020
Sep. 27, 2019
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Discount (percent) available to employees on the purchase of common stock 5.00%    
Aggregate Purchase Price Paid for Shares Sold (in shares) $ 32,148,528 $ 27,812,601 $ 27,295,425
Aggregate Number of Shares Sold (in shares) 287,587 333,078 389,423
Number of remaining shares reserved for issuance (in shares) 4,928,513    
ESPP's      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Number of remaining shares reserved for issuance (in shares) 3,177,877