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COMPREHENSIVE (LOSS) INCOME AND ACCUMULATED OTHER COMPREHENSIVE LOSS - Reclassification out of Other Comprehensive Loss (Details) - USD ($)
$ in Millions
 12 Months Ended
Aug. 03, 2024
Jul. 29, 2023
Jul. 30, 2022
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]      
Amortization of amounts included in net periodic benefit cost (income) $ 15 $ 29 $ 40
(Benefit) provision for income taxes 27 23 (56)
Cost of sales 26,779 26,141 24,746
Net (loss) income (110) 30 254
Reclassification Out of Accumulated Other Comprehensive Income (loss) | Amortization of amounts included in net periodic benefit income      
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]      
Amortization of amounts included in net periodic benefit cost (income) 2 3 4
Reclassification Out of Accumulated Other Comprehensive Income (loss) | Pension and Postretirement Benefit Plan Obligations      
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]      
(Benefit) provision for income taxes 0 (1) (2)
Net (loss) income 2 2 2
Reclassification Out of Accumulated Other Comprehensive Income (loss) | AOCI Attributable to Parent | Swap Agreements      
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]      
(Benefit) provision for income taxes (5) (3) 10
Interest expense, net (19) (12) 36
Net (loss) income (14) (9) 26
Reclassification Out of Accumulated Other Comprehensive Income (loss) | AOCI Attributable to Parent | Other Cash Flow Hedges      
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]      
(Benefit) provision for income taxes 0 (1) 0
Cost of sales 2 (3) 2
Net (loss) income $ 2 $ (2) $ 2