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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. 28, 2018
Oct. 29, 2017
Oct. 30, 2016
Nov. 01, 2015
Jul. 29, 2018
Jul. 30, 2017
Jul. 31, 2016
Stock-based Compensation              
Total intrinsic value of options exercised             $ 2
Excess Tax Benefit/(Deficiency) from Share-based Compensation, Operating Activities         $ (3) $ 6 7
Cash received from the exercise of stock options         $ 0 $ 2 $ 2
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         142    
Nonvested, Weighted-Average Grant-Date Fair Value         $ 49.60    
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%        
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         $ 1    
Weighted-average remaining service period, years         1 year 4 months    
Time Lapse and EPS Restricted Stock Units [Member]              
Stock-based Compensation              
Remaining unearned compensation on nonvested awards         $ 37    
Weighted-average remaining service period, years         1 year 8 months    
Nonvested, Units         1,652 1,221  
Nonvested, Weighted-Average Grant-Date Fair Value         $ 47.01 $ 50.86  
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period         1,220    
Granted, Weighted-Average Grant-Date Fair Value         $ 44.18 $ 54.79 $ 50.44
Fair value of restricted units and shares vested         $ 30 $ 55 $ 44
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         $ 23    
Weighted-average remaining service period, years         1 year 10 months    
Nonvested, Units         1,664 1,774  
Nonvested, Weighted-Average Grant-Date Fair Value         $ 46.66 $ 48.24  
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage   125.00% 75.00% 100.00%      
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period         943    
Granted, Weighted-Average Grant-Date Fair Value         $ 39.39 $ 39.53 $ 62.44
Fair value of restricted units and shares vested         $ 38 $ 14 $ 22
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] | 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] | 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%