LEASES - Additional Information (Details) $ in Thousands	12 Months Ended
	Jul. 27, 2019 USD ($) real_estate_partnership store property	Jul. 28, 2018 USD ($)
Leased Assets [Line Items]
Number of stores leased | store	27
Number of leased stores capitalized | store	5
Renewal term	5 years
Number of real estate partnerships with company ownership interests | real_estate_partnership	3
Number of partnerships to which rent was paid for leased stores | real_estate_partnership	2
Rent paid to related partnership | $	$ 1,455	$ 1,455
Rent paid to Wakefern under sublease agreement | $	$ 1,355	1,322
Minimum
Leased Assets [Line Items]
Lease terms	20 years
Term of non-cancelable leases	1 year
Maximum
Leased Assets [Line Items]
Lease terms	30 years
Variable Interest Entity, Not Primary Beneficiary
Leased Assets [Line Items]
Number of variable interest entity real estate partnerships | real_estate_partnership	1
Number of properties owned by VIE partnership | property	1
Percentage of profits and losses entitled to Company	33.00%
Officer
Leased Assets [Line Items]
Officer ownership percentage in leasing property realty firm	30.00%
Rent paid to related parties | $	$ 688	$ 688