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Stock-based Compensation (Narrative) (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Millions
3 Months Ended 12 Months Ended
Oct. 27, 2019
Oct. 28, 2018
Oct. 29, 2017
Oct. 30, 2016
Jul. 28, 2019
Jul. 29, 2018
Jul. 30, 2017
Stock-based Compensation              
Excess Tax Benefit/(Deficiency) from Share-based Compensation, Operating Activities         $ (6) $ (3) $ 6
Cash received from the exercise of stock options         0 0 $ 2
Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercises in Period, Intrinsic Value         $ 0 $ 0  
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         66    
Nonvested, Weighted-Average Grant-Date Fair Value         $ 49.10    
Strategic Performance Restricted Stock Units [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, Award Vesting Rights, Percentage       35.00%      
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         113    
Nonvested, Weighted-Average Grant-Date Fair Value         $ 37.62    
Share Based Compensation Arrangements By Share Based Payment Award Equity Instruments Other than Options Issued in Period         388    
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period         129    
Time Lapse Restricted Stock Units [Member]              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period         3 years    
Employee Stock Option [Member]              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period         3 years    
Share Based Compensation Arrangement Share Based Payment Award Vested Options Contractual Exercise Term         10 years    
Remaining unearned compensation on nonvested awards         $ 2    
Weighted-average remaining service period, years         2 years 3 months    
Time Lapse, EPS Performance, FCF Performance And Strategic Performance Restricted Stock Units [Member]              
Stock-based Compensation              
Remaining unearned compensation on nonvested awards         $ 35    
Weighted-average remaining service period, years         1 year 8 months    
Nonvested, Units         1,960 1,652  
Nonvested, Weighted-Average Grant-Date Fair Value         $ 40.57 $ 47.01  
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period         1,340    
Granted, Weighted-Average Grant-Date Fair Value         $ 36.51 $ 44.18 $ 54.79
Fair value of restricted units and shares vested         $ 26 $ 30 $ 55
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         $ 14    
Weighted-average remaining service period, years         1 year 7 months    
Nonvested, Units         1,308 1,664  
Nonvested, Weighted-Average Grant-Date Fair Value         $ 37.33 $ 46.66  
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage   0.00% 125.00% 75.00%      
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period         388    
Granted, Weighted-Average Grant-Date Fair Value         $ 31.29 $ 39.39 $ 39.53
Fair value of restricted units and shares vested           $ 38 $ 14
T S R Performance Restricted Stock Units Additional Shares [Member]              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period     160        
Minimum [Member] | EPS 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%    
Maximum [Member] | EPS Performance Restricted Stock Units [Member]              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage         100.00%    
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%    
2003 And Previous Long-Term Incentive Plan [Member]              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Number of Shares Authorized         31,200    
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    
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    
Financial [Member] | Special Performance Restricted Stock Units [Member]              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage       0.00%      
Milestones [Member] | Special Performance Restricted Stock Units [Member]              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage       100.00%      
Scenario, Forecast [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%