BASIS OF PRESENTATION and ACCOUNTING POLICIES - Disaggregated Revenues (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Jan. 24, 2026	Jan. 25, 2025	Jan. 24, 2026	Jan. 25, 2025
Revenue from External Customer [Line Items]
Sales	$ 640,959	$ 599,651	$ 1,223,552	$ 1,157,347
Percentage of total sales	100.00%	100.00%	100.00%	100.00%
Center Store
Revenue from External Customer [Line Items]
Sales	$ 384,500	$ 364,942	$ 727,202	$ 698,274
Percentage of total sales	60.00%	60.90%	59.40%	60.40%
Fresh
Revenue from External Customer [Line Items]
Sales	$ 227,150	$ 209,420	$ 438,134	$ 407,514
Percentage of total sales	35.40%	34.90%	35.80%	35.20%
Pharmacy
Revenue from External Customer [Line Items]
Sales	$ 26,272	$ 22,616	$ 52,549	$ 46,610
Percentage of total sales	4.10%	3.80%	4.30%	4.00%
Other
Revenue from External Customer [Line Items]
Sales	$ 3,037	$ 2,673	$ 5,667	$ 4,949
Percentage of total sales	0.50%	0.40%	0.50%	0.40%