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Stockholders' Equity and Stock Compensation Plans (Details) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended
Jan. 01, 2023
Jan. 02, 2022
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Stock-based compensation expense $ 7.2 $ 5.8
PSU's    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Awards granted (in shares) 55,708  
Fair value of awards granted (in dollars per share) $ 204.00  
Vesting period 3 years  
Percentage of shares that ultimately vest depending on growth in diluted earnings per share 50.00%  
Percentage of shares that ultimately vest depending on the shareholder return relative to peer group of companies over vesting period 50.00%  
RSU's    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Awards granted (in shares) 98,305  
Fair value of awards granted (in dollars per share) $ 156.52  
RSU's | Executive officers and employees    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Vesting period 4 years  
RSU's | Non-employee director    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Vesting period 1 year