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GOODWILL AND INTANGIBLE ASSETS, NET - Changes in Carrying Amount of Goodwill - (Details) - USD ($) $ in Thousands	3 Months Ended	4 Months Ended
	Sep. 29, 2024	Jan. 19, 2025
Goodwill [Roll Forward]
Goodwill	$ 323,833	$ 323,968
Accumulated impairment losses	(162,624)	(162,624)
Goodwill, beginning balance		161,209
Reclassified from (to) assets held for sale		135
Goodwill, ending balance	161,209	161,344
Jack in the Box restaurant operations
Goodwill [Roll Forward]
Goodwill	135,827	136,014
Accumulated impairment losses	0	0
Goodwill, beginning balance		135,827
Reclassified from (to) assets held for sale		187
Goodwill, ending balance	135,827	136,014
Del Taco
Goodwill [Roll Forward]
Goodwill	188,006	187,954
Accumulated impairment losses	(162,624)	(162,624)
Goodwill, beginning balance		25,382
Impairment of goodwill	(162,600)
Reclassified from (to) assets held for sale		(52)
Goodwill, ending balance	$ 25,382	$ 25,330

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