BASIS OF PRESENTATION and ACCOUNTING POLICIES - Disaggregated Revenues (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Apr. 26, 2025	Apr. 27, 2024	Apr. 26, 2025	Apr. 27, 2024
Revenue from External Customer [Line Items]
Sales	$ 563,669	$ 546,396	$ 1,721,016	$ 1,658,329
Percentage of total sales	100.00%	100.00%	100.00%	100.00%
Center Store
Revenue from External Customer [Line Items]
Sales	$ 335,755	$ 325,450	$ 1,033,736	$ 996,947
Percentage of total sales	59.60%	59.60%	60.10%	60.10%
Fresh
Revenue from External Customer [Line Items]
Sales	$ 203,415	$ 199,157	$ 612,624	$ 595,287
Percentage of total sales	36.10%	36.40%	35.60%	35.90%
Pharmacy
Revenue from External Customer [Line Items]
Sales	$ 22,710	$ 20,247	$ 69,320	$ 60,795
Percentage of total sales	4.00%	3.70%	4.00%	3.70%
Other
Revenue from External Customer [Line Items]
Sales	$ 1,789	$ 1,542	$ 5,336	$ 5,300
Percentage of total sales	0.30%	0.30%	0.30%	0.30%