SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES - Disaggregated Revenues (Details) - USD ($) $ in Thousands	12 Months Ended
	Jul. 27, 2019	Jul. 28, 2018
Revenue from External Customer [Line Items]
Sales	$ 1,643,502	$ 1,615,045
Percentage of total sales	100.00%	100.00%
Center Store
Revenue from External Customer [Line Items]
Sales	$ 1,011,232	$ 1,000,316
Percentage of total sales	61.50%	62.00%
Fresh
Revenue from External Customer [Line Items]
Sales	$ 558,245	$ 541,102
Percentage of total sales	34.00%	33.50%
Pharmacy
Revenue from External Customer [Line Items]
Sales	$ 69,404	$ 69,917
Percentage of total sales	4.20%	4.30%
Other Product
Revenue from External Customer [Line Items]
Sales	$ 4,621	$ 3,710
Percentage of total sales	0.30%	0.20%