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Employee Stock Purchase and Stock Incentive Plans - Stock Option Activity Under the 1999 Plans and the 1981 Plan (Details) - $ / shares
 12 Months Ended
Sep. 30, 2022
Oct. 01, 2021
Oct. 02, 2020
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding [Roll Forward]      
Number of stock options outstanding, beginning balance (in shares) 573,984 706,489 926,606
Number of stock options, Granted (in shares) 150,951    
Number of stock options, Exercised (in shares) (284,502) (130,030) (212,467)
Number of stock options, Canceled or expired (in shares) (1,084) (2,475) (7,650)
Number of stock options outstanding, ending balance (in shares) 439,349 573,984 706,489
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Weighted Average Exercise Price [Abstract]      
Weighted Average Exercise Price, beginning balance (in dollars per share) $ 45.65 $ 45.91 $ 45.48
Weighted Average Exercise Price, Granted (in dollars per share) 12.79    
Weighted Average Exercise Price, Exercised (in dollars per share) 43.56 47.07 44.05
Weighted Average Exercise Price, Canceled or expired (in dollars per share) 21.34 45.18 45.31
Weighted Average Exercise Price, ending balance (in dollars per share) $ 35.77 $ 45.65 $ 45.91