LEASES - Additional Information (Details) ft² in Thousands, $ in Thousands			12 Months Ended
	Apr. 30, 2014 ft²	Nov. 06, 2013 ft²	Jul. 30, 2016 USD ($) real_estate_partnership store property	Jul. 25, 2015 USD ($)	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			$ 1,400	$ 1,300	$ 1,008
Rent paid to Wakefern under sublease agreement			1,316	1,296	1,296
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			918	982	710
Remaining exit cost liability			871
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
Exit costs paid			$ 266	531	132
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			$ 642	$ 640	$ 640