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Share-Based Employee Compensation (Components of Share-Based Compensation Expense) (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 29, 2024
Oct. 01, 2023
Oct. 02, 2022
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total share-based compensation expense $ 13,471 $ 11,205 $ 7,122
Del Taco RSUs subject to accelerated vesting      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total share-based compensation expense 10,128 7,598 4,544
Stock options      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total share-based compensation expense 0 4 19
Performance share awards      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total share-based compensation expense 3,308 3,195 1,835
Nonvested restricted stock awards      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total share-based compensation expense 0 166 434
Non-management directors’ deferred compensation      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total share-based compensation expense $ 35 $ 242 $ 290