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BUSINESS SEGMENTS - Segment Information (Details) - USD ($)
$ in Millions
 3 Months Ended
Nov. 01, 2025
Nov. 02, 2024
Business segment information    
Net sales $ (7,840) $ (7,871)
Cost of sales 6,789 6,833
Adjusted EBITDA 167 134
Net income attributable to noncontrolling interests 0 1
Net periodic benefit income, excluding service cost 6 5
Interest expense, net (34) (36)
Other income, net 0 2
Depreciation and amortization (77) (80)
Share-based compensation (11) (7)
LIFO benefit (5) (7)
Restructuring, acquisition, and integration related expenses (22) (12)
Loss on sale of assets and other asset charges (14) (6)
Business transformation costs (4) (18)
Cybersecurity incident (4)  
Other adjustments (11)  
Loss before income taxes (9) (24)
Depreciation and amortization 77 80
Payments for capital expenditures 16 49
Natural    
Business segment information    
Net sales (4,229) (3,821)
Conventional    
Business segment information    
Net sales (3,057) (3,464)
Retail    
Business segment information    
Net sales (554) (586)
Operating segments    
Business segment information    
Net sales (8,119) (8,188)
Operating segments | Natural    
Business segment information    
Net sales (4,240) (3,838)
Cost of sales 3,692 3,326
Distribution expenses 331 308
Other 90 102
Adjusted EBITDA 127 102
Depreciation and amortization 26 25
Payments for capital expenditures 9 38
Operating segments | Conventional    
Business segment information    
Net sales (3,325) (3,764)
Cost of sales 2,951 3,379
Distribution expenses 226 251
Other 78 89
Adjusted EBITDA 70 45
Depreciation and amortization 42 45
Payments for capital expenditures 5 9
Operating segments | Retail    
Business segment information    
Net sales (554) (586)
Cost of sales 420 438
Distribution expenses 0 0
Other 143 147
Adjusted EBITDA (9) 1
Depreciation and amortization 9 9
Payments for capital expenditures 2 2
Corporate and Other    
Business segment information    
Other 21 14
Adjusted EBITDA (21) (14)
Depreciation and amortization 0 1
Payments for capital expenditures 0 0
Intersegment Eliminations    
Business segment information    
Net sales 279 317
Intersegment Eliminations | Natural    
Business segment information    
Net sales 11 17
Intersegment Eliminations | Conventional    
Business segment information    
Net sales 268 300
Intersegment Eliminations | Retail    
Business segment information    
Net sales $ 0 $ 0