BASIS OF PRESENTATION and ACCOUNTING POLICIES - Disaggregated Revenues (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Jan. 25, 2025	Jan. 27, 2024	Jan. 25, 2025	Jan. 27, 2024
Revenue from External Customer [Line Items]
Sales	$ 599,651	$ 575,579	$ 1,157,347	$ 1,111,933
Percentage of total sales	100.00%	100.00%	100.00%	100.00%
Center Store
Revenue from External Customer [Line Items]
Sales	$ 364,789	$ 350,573	$ 697,981	$ 671,497
Percentage of total sales	60.80%	60.90%	60.30%	60.50%
Fresh
Revenue from External Customer [Line Items]
Sales	$ 210,215	$ 202,610	$ 409,209	$ 396,130
Percentage of total sales	35.10%	35.20%	35.40%	35.60%
Pharmacy
Revenue from External Customer [Line Items]
Sales	$ 22,616	$ 20,337	$ 46,610	$ 40,548
Percentage of total sales	3.80%	3.50%	4.00%	3.60%
Other
Revenue from External Customer [Line Items]
Sales	$ 2,031	$ 2,059	$ 3,547	$ 3,758
Percentage of total sales	0.30%	0.40%	0.30%	0.30%