LEASES - Additional Information (Details) ft² in Thousands			9 Months Ended	12 Months Ended
	Apr. 30, 2014 ft²	Nov. 06, 2013 ft²	Apr. 26, 2014 USD ($)	Jul. 29, 2017 USD ($) real_estate_partnership store property	Jul. 30, 2016 USD ($)	Jul. 25, 2015 USD ($)
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				$ 1,500,000	$ 1,400,000	$ 1,300,000
Rent paid to Wakefern under sublease agreement				1,316,000	1,316,000	1,296,000
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			$ 3,481,000
Exit costs paid				788,000	918,000	982,000
New Store, Union, New Jersey
Leased Assets [Line Items]
Square feet of store | ft²	59
Union, New Jersey
Leased Assets [Line Items]
Square feet of store | ft²	40
Business exit costs			$ 929,000
Exit costs paid				$ 0	266,000	531,000
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				$ 688,000	$ 642,000	$ 640,000