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RELATED PARTY INFORMATION - WAKEFERN (Details) - USD ($) $ in Thousands			12 Months Ended
	Sep. 28, 2022	Aug. 15, 2022	Jul. 29, 2023	Jul. 30, 2022
Related Party Transaction [Line Items]
Interest income earned on investments related entity			$ 11,399	$ 4,023
Maturity of notes receivable from Wakefern			$ 28,850	0
Wakefern
Related Party Transaction [Line Items]
Ownership interest in Wakefern			12.70%
Purchase obligation, as a percentage of merchandise requirements			85.00%
Purchase obligation period			10 years
Percentage of stockholders to request termination			75.00%
Accounts payable to Wakefern			$ 2,423
Vendor allowances and rebates			43,967	39,038
Support services incurred charges			42,678	47,877
Demand deposits invested at related party Wakefern			122,028	110,739
Interest income earned on investments related entity			11,295	$ 3,953
Wakefern \| Related Party Note Receivable Maturing August 2022
Related Party Transaction [Line Items]
Basis spread on variable rate (as a percent)		1.25%
Wakefern \| Related Party Note Receivable Maturing February 2024
Related Party Transaction [Line Items]
Basis spread on variable rate (as a percent)		0.75%
Maturity of notes receivable from Wakefern			31,483
Wakefern \| Related Party Note Receivable Maturing August 2027
Related Party Transaction [Line Items]
Basis spread on variable rate (as a percent)		0.50%
Maturity of notes receivable from Wakefern			30,865
Wakefern \| Related Party Note Receivable Maturing September 2027
Related Party Transaction [Line Items]
Basis spread on variable rate (as a percent)		0.50%
Maturity of notes receivable from Wakefern	$ 30,000		$ 31,861
Wakefern \| Insure-Rite Ltd.
Related Party Transaction [Line Items]
Investment in Insure-Rite, Ltd			8.80%
Stock Subscriptions Outstanding, Payments Due In 2024
Related Party Transaction [Line Items]
Related party transaction amount			$ 511
Stock Subscriptions Outstanding, Payments Due In 2025
Related Party Transaction [Line Items]
Related party transaction amount			372
Stock Subscriptions Outstanding, Payments Due In 2026
Related Party Transaction [Line Items]
Related party transaction amount			56
Stock Subscriptions Outstanding, Payments Due After 2026
Related Party Transaction [Line Items]
Related party transaction amount			0
Per Store Investment, Maximum \| Wakefern
Related Party Transaction [Line Items]
Related party transaction amount			975
Stock Subscriptions Outstanding, Payments Due In Year Two
Related Party Transaction [Line Items]
Related party transaction amount			$ 747