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Employee Stock Purchase and Stock Incentive Plans - Information Regarding Options Outstanding, and Options Exercisable (Details) - $ / shares
12 Months Ended
Sep. 30, 2022
Oct. 01, 2021
Oct. 02, 2020
Sep. 27, 2019
Share-based Payment Arrangement, Option, Exercise Price Range [Line Items]        
Options Outstanding, Number (in shares) 439,349 573,984 706,489 926,606
Options Outstanding, Weighted Average Remaining Contractual Life (years) 3 years 11 months 26 days      
Options Outstanding, Weighted Average Price (in dollars per share) $ 35.77 $ 45.65 $ 45.91 $ 45.48
Options Exercisable, Number (in shares) 439,349      
Options Exercisable, Weighted Average Exercise Price (in dollars per share) $ 35.77      
Range of exercise prices for options outstanding, minimum (in dollars per share) 5.64 37.03 32.51  
Range of exercise prices for options outstanding, maximum (in dollars per share) $ 60.43 $ 60.43 $ 60.43  
$32.51 - $37.03        
Share-based Payment Arrangement, Option, Exercise Price Range [Line Items]        
Options Outstanding, Number (in shares) 149,328      
Options Outstanding, Weighted Average Remaining Contractual Life (years) 7 years 7 months 6 days      
Options Outstanding, Weighted Average Price (in dollars per share) $ 12.79      
Options Exercisable, Number (in shares) 149,328      
Options Exercisable, Weighted Average Exercise Price (in dollars per share) $ 12.79      
Range of exercise prices for options outstanding, minimum (in dollars per share) 32.51      
Range of exercise prices for options outstanding, maximum (in dollars per share) $ 37.03      
$37.43 - $46.09        
Share-based Payment Arrangement, Option, Exercise Price Range [Line Items]        
Options Outstanding, Number (in shares) 178,009      
Options Outstanding, Weighted Average Remaining Contractual Life (years) 2 years 9 months 25 days      
Options Outstanding, Weighted Average Price (in dollars per share) $ 43.01      
Options Exercisable, Number (in shares) 178,009      
Options Exercisable, Weighted Average Exercise Price (in dollars per share) $ 43.01      
Range of exercise prices for options outstanding, minimum (in dollars per share) 37.43      
Range of exercise prices for options outstanding, maximum (in dollars per share) $ 46.09      
$47.11 - $55.13        
Share-based Payment Arrangement, Option, Exercise Price Range [Line Items]        
Options Outstanding, Number (in shares) 90,137      
Options Outstanding, Weighted Average Remaining Contractual Life (years) 11 months 15 days      
Options Outstanding, Weighted Average Price (in dollars per share) $ 53.53      
Options Exercisable, Number (in shares) 90,137      
Options Exercisable, Weighted Average Exercise Price (in dollars per share) $ 53.53      
Range of exercise prices for options outstanding, minimum (in dollars per share) 47.11      
Range of exercise prices for options outstanding, maximum (in dollars per share) $ 55.13      
$60.08 - $80.63        
Share-based Payment Arrangement, Option, Exercise Price Range [Line Items]        
Options Outstanding, Number (in shares) 21,875      
Options Outstanding, Weighted Average Remaining Contractual Life (years) 1 year 5 months 1 day      
Options Outstanding, Weighted Average Price (in dollars per share) $ 60.43      
Options Exercisable, Number (in shares) 21,875      
Options Exercisable, Weighted Average Exercise Price (in dollars per share) $ 60.43      
Range of exercise prices for options outstanding, minimum (in dollars per share) 60.08      
Range of exercise prices for options outstanding, maximum (in dollars per share) $ 80.63