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Stock-based Compensation (Narrative) (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Millions
3 Months Ended 9 Months Ended
Mar. 12, 2024
[1]
Apr. 28, 2024
Oct. 29, 2023
Oct. 30, 2022
Apr. 28, 2024
Apr. 30, 2023
Jul. 30, 2023
Stock-based Compensation              
Fair value of replacement share-based awards   $ 42     $ 42    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercises in Period, Intrinsic Value           $ 3  
Cash received from the exercise of stock options         0 22  
Sovos Brands Acquisition              
Stock-based Compensation              
ShareBased Compensation Arrangement by Share Based Payment Award Equity Instruments Other than Options Grants In Period Fair Value         74    
Fair value of replacement share-based awards $ 42       $ 42    
Share Based Compensation Arrangement By Share Based Payment Award Equity Instruments Other Than Options Granted In Connection With Acquisition         1,721    
EPS Performance Restricted Stock Units [Member]              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period         3 years    
Nonvested, Units   887     887    
Nonvested, Weighted-Average Grant-Date Fair Value   $ 42.98     $ 42.98    
EPS Performance Restricted Stock Units [Member] | Minimum [Member]              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage         0.00%    
EPS Performance Restricted Stock Units [Member] | Maximum [Member]              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage         200.00%    
Time Lapse, EPS Performance, and Replacement Restricted Stock Units [Member]              
Stock-based Compensation              
Remaining unearned compensation on nonvested awards   $ 65     $ 65    
Weighted-average remaining service period, years         1 year 9 months 18 days    
Nonvested, Units   3,322     3,322   2,274
Fair value of restricted units and shares vested         $ 95 $ 36  
Granted, Weighted-Average Grant-Date Fair Value         $ 41.46 $ 47.55  
Nonvested, Weighted-Average Grant-Date Fair Value   $ 43.23     $ 43.23   $ 45.39
Share Based Compensation Arrangement By Share Based Payment Award Equity Instruments Other Than Options Granted In Connection With Acquisition         1,721    
TSR Performance Restricted Stock/Units [Member]              
Stock-based Compensation              
Remaining unearned compensation on nonvested awards   $ 16     $ 16    
Weighted-average remaining service period, years         1 year 9 months 18 days    
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage     75.00% 100.00%      
Nonvested, Units   887     887   948
Fair value of restricted units and shares vested         $ 12 $ 21  
Granted, Weighted-Average Grant-Date Fair Value         $ 44.18 $ 53.74  
Nonvested, Weighted-Average Grant-Date Fair Value   $ 47.40     $ 47.40   $ 51.81
[1] We issued replacement equity awards in settlement of certain Sovos Brands equity awards that did not become vested in connection with the acquisition. The portion of fair value of the replacement awards attributable to pre-combination service was $42 million and is included in the purchase consideration. We recognized $26 million of expense related to accelerated vesting of certain replacement awards.