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Stock-based Compensation (Narrative) (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Millions
3 Months Ended 6 Months Ended 12 Months Ended 18 Months Ended
Oct. 27, 2019
Oct. 28, 2018
Jan. 26, 2020
Jan. 27, 2019
Jul. 28, 2019
Jan. 26, 2020
Stock-based Compensation            
Excess Tax Benefit/(Deficiency) from Share-based Compensation, Operating Activities     $ 1 $ (2)    
Cash received from the exercise of stock options     4 0    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercises in Period, Intrinsic Value     $ 1 $ 0    
EPS Performance Restricted Stock Units [Member]            
Stock-based Compensation            
Nonvested, Units     23     23
Nonvested, Weighted-Average Grant-Date Fair Value     $ 46.82     $ 46.82
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     182     182
Nonvested, Weighted-Average Grant-Date Fair Value     $ 42.16     $ 42.16
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           258
Share-based Payment Arrangement, Option [Member]            
Stock-based Compensation            
Remaining unearned compensation on nonvested awards     $ 2     $ 2
Weighted-average remaining service period, years     1 year 9 months 18 days      
Time Lapse, EPS Performance, FCF Performance And Strategic Performance Restricted Stock Units [Member]            
Stock-based Compensation            
Remaining unearned compensation on nonvested awards     $ 53     $ 53
Weighted-average remaining service period, years     1 year 10 months 24 days      
Nonvested, Units     2,119   1,960 2,119
Nonvested, Weighted-Average Grant-Date Fair Value     $ 42.87   $ 40.57 $ 42.87
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period     1,088      
Granted, Weighted-Average Grant-Date Fair Value     $ 46.81 $ 36.35    
Fair value of restricted units and shares vested     $ 32 $ 24    
TSR Performance Restricted Stock/Units [Member]            
Stock-based Compensation            
Remaining unearned compensation on nonvested awards     $ 34     $ 34
Weighted-average remaining service period, years     2 years 2 months 12 days      
Nonvested, Units     1,363   1,308 1,363
Nonvested, Weighted-Average Grant-Date Fair Value     $ 48.17   $ 37.33 $ 48.17
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage 0.00% 0.00%        
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period     619      
Granted, Weighted-Average Grant-Date Fair Value     $ 63.06 $ 31.29    
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] | FCF 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] | FCF Performance Restricted Stock Units [Member]            
Stock-based Compensation            
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage     200.00%