Share-Based Employee Compensation (Components of Share-Based Compensation Expense) (Details) - USD ($) $ in Thousands	12 Months Ended
	Oct. 01, 2023	Oct. 02, 2022	Oct. 03, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total share-based compensation expense	$ 11,205	$ 7,122	$ 4,048
Del Taco RSUs subject to accelerated vesting
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total share-based compensation expense	7,598	4,544	2,969
Stock options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total share-based compensation expense	4	19	25
Performance share awards
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total share-based compensation expense	3,195	1,835	830
Nonvested restricted stock awards
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total share-based compensation expense	166	434	0
Non-management directors’ deferred compensation
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total share-based compensation expense	$ 242	$ 290	$ 224