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Share-Based Compensation - Restricted Stock and Unit Activity (Details) - Restricted Stock and Restricted Stock Units (RSUs) - $ / shares
12 Months Ended
Oct. 02, 2021
Oct. 03, 2020
Sep. 28, 2019
Number of Shares      
Unvested shares, beginning of year (in shares) 171,470    
Granted (in shares) 183,291    
Vested (in shares) (68,191)    
Forfeited (in shares) (37,725)    
Unvested shares, end of year (in shares) 248,845 171,470  
Weighted-Average Grant Date Fair Value      
Unvested shares, beginning of year (in dollars per share) $ 18.64    
Granted (in dollars per share) 18.82 $ 18.64 $ 17.30
Vested (in dollars per share) 19.93    
Forfeited (in dollars per share) 18.35    
Unvested shares, end of year (in dollars per share) $ 18.50 $ 18.64