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Stock-based Compensation (Narrative) (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Millions
3 Months Ended 6 Months Ended
Oct. 28, 2018
Oct. 29, 2017
Jan. 27, 2019
Jan. 28, 2018
Jul. 29, 2018
Stock-based Compensation          
Exercised, Options     0 0  
Excess Tax Benefit/(Deficiency) from Share-based Compensation, Operating Activities     $ (2) $ 4  
Employee Stock Option [Member]          
Stock-based Compensation          
Remaining unearned compensation on nonvested awards     $ 3    
Weighted-average remaining service period, years     2 years 5 months    
EPS Performance Restricted Stock Units [Member]          
Stock-based Compensation          
Nonvested, Units     66    
Nonvested, Weighted-Average Grant-Date Fair Value     $ 49.10    
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     100.00%    
Time Lapse and EPS Restricted Stock Units [Member]          
Stock-based Compensation          
Remaining unearned compensation on nonvested awards     $ 47    
Weighted-average remaining service period, years     1 year 11 months    
Nonvested, Units     1,994   1,652
Nonvested, Weighted-Average Grant-Date Fair Value     $ 40.98   $ 47.01
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period     1,171    
Granted, Weighted-Average Grant-Date Fair Value     $ 36.35 $ 46.95  
Fair value of restricted units and shares vested     $ 24 $ 30  
FCF Performance Restricted Stock Units [Member]          
Stock-based Compensation          
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period     388    
FCF 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%    
FCF 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%    
TSR Performance Restricted Stock/Units [Member]          
Stock-based Compensation          
Remaining unearned compensation on nonvested awards     $ 21    
Weighted-average remaining service period, years     1 year 11 months    
Nonvested, Units     1,363   1,664
Nonvested, Weighted-Average Grant-Date Fair Value     $ 37.28   $ 46.66
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage 0.00% 125.00%      
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  
Fair value of restricted units and shares vested       $ 38  
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