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Stock-based Compensation (Summary of Stock-based Compensation Expense) (Details) - USD ($)
$ in Millions
12 Months Ended
Jul. 28, 2024
Jul. 30, 2023
Jul. 31, 2022
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total pre-tax stock-based compensation expense $ 99 [1] $ 63 $ 59
Tax-related benefits 13 $ 12 $ 10
Sovos Brands Acquisition      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-Based Payment Arrangement, Accelerated Cost 26    
Sovos Brands Acquisition | Replacement Restricted Stock Units      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-Based Payment Arrangement, Accelerated Cost $ 26    
[1] Includes $26 million of expense related to accelerated vesting of certain Replacement units in 2024.