BASIS OF PRESENTATION and ACCOUNTING POLICIES - Disaggregated Revenues (Details) - USD ($) $ in Thousands	3 Months Ended
	Oct. 26, 2024	Oct. 28, 2023
Revenue from External Customer [Line Items]
Sales	$ 557,697	$ 536,354
Percentage of total sales	100.00%	100.00%
Center Store
Revenue from External Customer [Line Items]
Sales	$ 333,193	$ 320,924
Percentage of total sales	59.70%	59.80%
Fresh
Revenue from External Customer [Line Items]
Sales	$ 198,994	$ 193,520
Percentage of total sales	35.70%	36.10%
Pharmacy
Revenue from External Customer [Line Items]
Sales	$ 23,994	$ 20,211
Percentage of total sales	4.30%	3.80%
Other
Revenue from External Customer [Line Items]
Sales	$ 1,516	$ 1,699
Percentage of total sales	0.30%	0.30%