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RELATED PARTY INFORMATION - WAKEFERN (Details) - USD ($) $ in Thousands |  |  |  | 12 Months Ended
--- | --- | --- | --- | ---
Feb. 15, 2024 | Sep. 28, 2022 | Aug. 15, 2022 | Jul. 27, 2024 | Jul. 29, 2023
Related Party Transaction [Line Items] |  |  |  |  |
Interest income earned on investments related entity |  |  |  | $ 14,799 | $ 11,399
Maturity of notes receivable from Wakefern |  |  |  | $ 33,338 | 28,850
Wakefern |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |
Ownership interest in Wakefern |  |  |  | 12.80% |
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 |  |  |  | $ 1,662 |
Vendor allowances and rebates |  |  |  | 46,302 | 43,967
Support services incurred charges |  |  |  | 42,459 | 42,678
Demand deposits invested at related party Wakefern |  |  |  | 97,126 | 122,028
Interest income earned on investments related entity |  |  |  | $ 14,717 | $ 11,295
Wakefern | Related Party Note Receivable Maturing August 2022 |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |
Basis spread on variable rate (as a percent) |  |  | 1.25% |  |
Maturity of notes receivable from Wakefern |  |  | $ 28,850 |  |
Wakefern | Related Party Note Receivable Maturing February 2024 |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |
Basis spread on variable rate (as a percent) | 0.75% |  |  | 0.50% |
Maturity of notes receivable from Wakefern | $ 33,338 |  |  | $ 34,293 |
Wakefern | Related Party Note Receivable Maturing February 2024 | Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |
Basis spread on variable rate (as a percent) | 2.25% |  |  | 2.25% |
Wakefern | Related Party Note Receivable Maturing August 2027 |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |
Basis spread on variable rate (as a percent) |  |  | 0.50% | 0.50% |
Maturity of notes receivable from Wakefern |  |  |  | $ 33,740 |
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 |  | $ 34,829 |
Wakefern | Insure-Rite Ltd. |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |
Investment in Insure-Rite, Ltd |  |  |  | 8.90% |
Stock Subscriptions Outstanding, Payments Due In 2026 |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |
Related party transaction amount |  |  |  | $ 534 |
Stock Subscriptions Outstanding, Payments Due In 2027 |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |
Related party transaction amount |  |  |  | 352 |
Stock Subscriptions Outstanding, Payments Due In 2028 |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |
Related party transaction amount |  |  |  | 25 |
Stock Subscriptions Outstanding, Payments Due After 2028 |  |  |  |  |
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 |

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