Share-Based Employee Compensation (Components of Share-Based Compensation Expense) (Details) - USD ($) $ in Thousands	12 Months Ended
	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