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Stock-based Compensation (Narrative) (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Millions
3 Months Ended 12 Months Ended
Mar. 12, 2024
[1]
Oct. 27, 2024
Oct. 29, 2023
Oct. 30, 2022
Oct. 31, 2021
Jul. 28, 2024
Jul. 30, 2023
Jul. 31, 2022
Stock-based Compensation                
Cash received from the exercise of stock options           $ 2 $ 22 $ 3
Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercises in Period, Intrinsic Value           1 3 1
Share-based Payment Arrangement, Exercise of Option, Tax Benefit           0 $ 0 0
Replacement share-based awards issued in connection with Sovos Brands, Inc. acquisition           42    
Sovos Brands Acquisition                
Stock-based Compensation                
Replacement share-based awards issued in connection with Sovos Brands, Inc. acquisition $ 42         $ 42    
Share Based Compensation Arrangement By Share Based Payment Award Equity Instruments Other Than Options Granted In Connection With Acquisition           1,721    
Share Based Compensation Arrangement by Share Based Payment Award Equity Instruments Other Than Options Granted In Connection With Acquisition Fair Value           $ 74    
EPS CAGR Performance Restricted Stock Units [Member]                
Stock-based Compensation                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period           3 years    
Nonvested, Units           873    
Nonvested, Weighted-Average Grant-Date Fair Value           $ 42.99    
Strategic Performance Restricted Stock Units [Member]                
Stock-based Compensation                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period           3 years    
FCF Performance Restricted Stock Units [Member]                
Stock-based Compensation                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period           3 years    
Nonvested, Units         0      
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage         167.00%      
Time Lapse Restricted Stock Units [Member]                
Stock-based Compensation                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period           3 years    
Share-based Payment Arrangement, Option [Member]                
Stock-based Compensation                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period           3 years    
Share-based Compensation Arrangement by Share-based Payment Award, Expiration Period           10 years    
Time Lapse, EPS Performance, and Replacement Restricted Stock Units [Member]                
Stock-based Compensation                
Remaining unearned compensation on nonvested awards           $ 55    
Weighted-average remaining service period, years           1 year 8 months 12 days    
Nonvested, Units           3,300 2,274  
Nonvested, Weighted-Average Grant-Date Fair Value           $ 43.24 $ 45.39  
Fair value of restricted units and shares vested           $ 97 $ 37 $ 50
Granted, Weighted-Average Grant-Date Fair Value           $ 41.57 $ 47.65 $ 41.96
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period           1,790    
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                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period           3 years    
Remaining unearned compensation on nonvested awards           $ 12    
Weighted-average remaining service period, years           1 year 7 months 6 days    
Nonvested, Units           873 948  
Nonvested, Weighted-Average Grant-Date Fair Value           $ 47.40 $ 51.81  
Fair value of restricted units and shares vested           $ 12 $ 21 $ 8
Granted, Weighted-Average Grant-Date Fair Value           $ 44.18 $ 53.74 $ 45.54
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage     75.00% 100.00% 75.00%      
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period           387    
EPS Performance Restricted Stock Units - Granted Prior to 2022                
Stock-based Compensation                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period           3 years    
FCF Performance Restricted Stock Units Additional Shares                
Stock-based Compensation                
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period         158      
Minimum [Member] | EPS CAGR Performance Restricted Stock Units [Member]                
Stock-based Compensation                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage           0.00%    
Minimum [Member] | Strategic Performance Restricted Stock Units [Member]                
Stock-based Compensation                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage           0.00%    
Minimum [Member] | FCF Performance Restricted Stock Units [Member]                
Stock-based Compensation                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage           0.00%    
Minimum [Member] | TSR Performance Restricted Stock/Units [Member]                
Stock-based Compensation                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage           0.00%    
Minimum [Member] | EPS Performance Restricted Stock Units - Granted Prior to 2022                
Stock-based Compensation                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage           0.00%    
Maximum [Member] | EPS CAGR Performance Restricted Stock Units [Member]                
Stock-based Compensation                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage           200.00%    
Maximum [Member] | Strategic Performance Restricted Stock Units [Member]                
Stock-based Compensation                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage           200.00%    
Maximum [Member] | FCF Performance Restricted Stock Units [Member]                
Stock-based Compensation                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage           200.00%    
Maximum [Member] | TSR Performance Restricted Stock/Units [Member]                
Stock-based Compensation                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage           200.00%    
Maximum [Member] | EPS Performance Restricted Stock Units - Granted Prior to 2022                
Stock-based Compensation                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage           100.00%    
2005 Long Term Incentive Plan [Member]                
Stock-based Compensation                
Share-based Compensation Arrangement by Share-based Payment Award, Number of Shares Authorized           6,000    
2005 Long Term Incentive Plan, Total Shares Authorized, as Amended In 2008 [Member]                
Stock-based Compensation                
Share-based Compensation Arrangement by Share-based Payment Award, Number of Shares Authorized           10,500    
2005 Long Term Incentive Plan, Total Shares Authorized, as Amended in 2010 [Member]                
Stock-based Compensation                
Share-based Compensation Arrangement by Share-based Payment Award, Number of Shares Authorized           17,500    
2015 Long-Term Incentive Plan [Member]                
Stock-based Compensation                
Share-based Compensation Arrangement by Share-based Payment Award, Number of Shares Authorized           13,000    
Share-Based Compensation Arrangement by Share-Based Payment Award, Number of Shares Available for Grant           0    
2005 Long-Term Incentive Plan Rolled into the 2015 Long-Term Incentive Plan                
Stock-based Compensation                
Share-based Compensation Arrangement by Share-based Payment Award, Number of Shares Authorized           6,000    
Two Thousand Twenty Two Long Term Incentive Plan                
Stock-based Compensation                
Share-based Compensation Arrangement by Share-based Payment Award, Number of Shares Authorized           12,000    
Forecast [Member] | TSR Performance Restricted Stock/Units [Member]                
Stock-based Compensation                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage   175.00%            
[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.