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OTHER OPERATING (INCOME) EXPENSES, NET - Summary of Impairment, Disposition of Property and Equipment, Restaurant Closing Costs and Restructuring (Details) $ in Thousands	3 Months Ended						4 Months Ended		9 Months Ended		12 Months Ended
	Jul. 06, 2025 USD ($) restaurants	Apr. 13, 2025 restaurant	Jul. 07, 2024 USD ($)	Jul. 07, 2024 restaurants	Jul. 07, 2024 restaurant	Apr. 14, 2024 restaurant	Jan. 19, 2025 restaurant	Jan. 21, 2024 USD ($)	Jul. 06, 2025 USD ($) restaurant	Jul. 07, 2024 USD ($) restaurants	Sep. 29, 2024 restaurants
Property, Plant and Equipment [Line Items]
Other operating expense, net	$ 2,057		$ 4,723						$ 3,748	$ 14,612
Costs of closed restaurants and other	1,917		160						4,684	1,792
Operating restaurant impairment charges	1,058		136						2,935	136
Accelerated depreciation	54		95						74	485
Impairment of goodwill									31,656
Gains on acquisition of restaurants	0		0						(6)	(2,357)
Losses (gains) on disposition of property and equipment, net	597		527						1,983	1,675
Other operating expenses, net	5,683		5,641						13,418	16,343
Del Taco
Property, Plant and Equipment [Line Items]
Gains on acquisition of restaurants	$ 0		$ 0					$ (2,400)	$ 0	$ (2,357)
Number of restaurants acquired from franchisees	18	0		0	0	0	0		18	9	9

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