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Employee Stock Purchase and Stock Incentive Plans - Stock Issuance Activity Under the ESPP (Details) - USD ($)
 12 Months Ended
Sep. 30, 2022
Oct. 01, 2021
Oct. 02, 2020
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) $ 38,648,000 $ 32,149,000 $ 27,813,000
Aggregate Number of Shares Sold (in shares) 302,429 287,587 333,078
Number of remaining shares reserved for issuance (in shares) 4,487,176    
ESPP's      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Number of remaining shares reserved for issuance (in shares) 2,875,448