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Share-Based Compensation - Stock Option Activity (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Oct. 02, 2021
Oct. 03, 2020
Sep. 28, 2019
Number of Options      
Outstanding at beginning of period (in shares) 532,298    
Granted (in shares) 331,200    
Exercised (in shares) (120,461)    
Forfeited (in shares) (52,562)    
Outstanding at end of period (in shares) 626,167 532,298  
Fully vested and expected to vest (in shares) 267,779    
Weighted Average Exercise Price per Share ($)      
Outstanding at beginning of period (in dollars per share) $ 17.62    
Granted (in dollars per share) 16.84    
Exercised (in dollars per share) 16.08    
Forfeited (in dollars per share) 16.42    
Outstanding at end of period (in dollars per share) 17.93 $ 17.62  
Fully vested and expected to vest (in dollars per share) $ 17.85    
Aggregate intrinsic value of options exercised during period $ 1.1 $ 4.3 $ 0.1
Aggregate intrinsic value 2.1    
Aggregate intrinsic value of options vested and exercisable $ 0.9