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Equity-Based Compensation (Schedule of Compensation Cost By Award Type) (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2023
Oct. 01, 2022
Oct. 02, 2021
Share-based Compensation Arrangement by Share-based Payment Award      
Total compensation cost before income taxes $ 10,582 $ 8,882 $ 7,461
Income tax benefit 1,156 970 893
Employee stock purchase plan      
Share-based Compensation Arrangement by Share-based Payment Award      
Total compensation cost before income taxes 2,956 2,521 2,633
Stock appreciation rights      
Share-based Compensation Arrangement by Share-based Payment Award      
Total compensation cost before income taxes 1,584 2,370 2,345
Performance-based restricted stock units      
Share-based Compensation Arrangement by Share-based Payment Award      
Total compensation cost before income taxes 2,479 1,718 1,151
Time vested restricted stock units (TVA)      
Share-based Compensation Arrangement by Share-based Payment Award      
Total compensation cost before income taxes 2,461 1,423 602
Restricted stock awards      
Share-based Compensation Arrangement by Share-based Payment Award      
Total compensation cost before income taxes $ 1,102 $ 850 $ 730