BASIS OF PRESENTATION and ACCOUNTING POLICIES - Disaggregated Revenues (Details) - USD ($) $ in Thousands	3 Months Ended
	Oct. 25, 2025	Oct. 26, 2024
Revenue from External Customer [Line Items]
Sales	$ 582,593	$ 557,697
Percentage of total sales	100.00%	100.00%
Center Store
Revenue from External Customer [Line Items]
Sales	$ 342,702	$ 333,333
Percentage of total sales	58.80%	59.80%
Fresh
Revenue from External Customer [Line Items]
Sales	$ 210,984	$ 198,094
Percentage of total sales	36.20%	35.50%
Pharmacy
Revenue from External Customer [Line Items]
Sales	$ 26,277	$ 23,994
Percentage of total sales	4.50%	4.30%
Other
Revenue from External Customer [Line Items]
Sales	$ 2,630	$ 2,276
Percentage of total sales	0.50%	0.40%