LEASES - Additional Information (Details) $ in Thousands	12 Months Ended
	Jul. 25, 2020 USD ($) real_estate_partnership property contract	Jul. 27, 2019 USD ($)
Lessee, Lease, Description [Line Items]
Number of retail stores leased (in contracts) | contract	33
Lease renewal terms	5 years
Finance lease, right-of-use asset	$ 13,753
Future lease payment obligations that have not yet commenced but have been executed	16,671
Present value of lease liabilities	$ 317,148
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	$ 1,556	$ 1,455
Rent paid to Wakefern under sublease agreement	$ 1,355	1,355
Minimum
Lessee, Lease, Description [Line Items]
Initial lease terms	20 years
Maximum
Lessee, Lease, Description [Line Items]
Initial lease terms	30 years
Variable Interest Entity, Not Primary Beneficiary
Lessee, Lease, Description [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
Lessee, Lease, Description [Line Items]
Officer ownership percentage in leasing property realty firm	30.00%
Rent paid to related parties	$ 688	$ 688
Affiliated Entity | Supermarket Leased From Realty Firm Which Company Officers Partially Own
Lessee, Lease, Description [Line Items]
Present value of lease liabilities	3,772
Affiliated Entity | Stores Leased From Real Estate Partnerships Which Company Has Ownership Interest In
Lessee, Lease, Description [Line Items]
Present value of lease liabilities	13,179
Affiliated Entity | Stores Subleased From Wakefern
Lessee, Lease, Description [Line Items]
Present value of lease liabilities	$ 3,521