LEASES - Additional Information (Details) ft² in Thousands, $ in Thousands		12 Months Ended
	Nov. 06, 2013 ft²	Jul. 28, 2018 USD ($) real_estate_partnership store property	Jul. 29, 2017 USD ($)	Jul. 26, 2014 USD ($)
Leased Assets [Line Items]
Number of stores leased | store		23
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		1,322	1,316
Hanover Township, New Jersey
Leased Assets [Line Items]
Square feet of store | ft²	77
Morris Plains, New Jersey
Leased Assets [Line Items]
Business exit costs				$ 3,481
Exit costs paid		$ 0	788
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