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Share-Based Employee Compensation (Components of Share-Based Compensation Expense) (Details) - USD ($) $ in Thousands | 12 Months Ended
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Oct. 02, 2022 | Oct. 03, 2021 | Sep. 27, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Total share-based compensation expense | $ 7,122 | $ 4,048 | $ 4,394
Del Taco RSUs subject to accelerated vesting |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Total share-based compensation expense | 4,544 | 2,969 | 3,526
Stock options |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Total share-based compensation expense | 19 | 25 | 351
Performance share awards |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Total share-based compensation expense | 1,835 | 830 | 254
Nonvested restricted stock awards |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Total share-based compensation expense | 434 | 0 | 0
Non-management directors’ deferred compensation |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Total share-based compensation expense | $ 290 | $ 224 | $ 263

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