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Stock-based Compensation (Narrative) (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Millions
3 Months Ended 12 Months Ended 24 Months Ended
Nov. 01, 2020
Oct. 27, 2019
Oct. 28, 2018
Oct. 29, 2017
Aug. 02, 2020
Jul. 28, 2019
Jul. 29, 2018
Aug. 02, 2020
Stock-based Compensation                
Excess Tax Benefit/(Deficiency) from Share-based Compensation, Operating Activities         $ 1 $ (6) $ (3)  
Cash received from the exercise of stock options         23 0 0  
Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercises in Period, Intrinsic Value         $ 2 $ 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         23     23
Nonvested, Weighted-Average Grant-Date Fair Value         $ 46.82     $ 46.82
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         166     166
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
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 Share Based Payment Award Vested Options Contractual Exercise Term         10 years      
Remaining unearned compensation on nonvested awards         $ 1     $ 1
Weighted-average remaining service period, years         1 year 4 months 24 days      
Time Lapse, EPS Performance, FCF Performance And Strategic Performance Restricted Stock Units [Member]                
Stock-based Compensation                
Remaining unearned compensation on nonvested awards         $ 35     $ 35
Weighted-average remaining service period, years         1 year 8 months 12 days      
Nonvested, Units         1,866 1,960   1,866
Nonvested, Weighted-Average Grant-Date Fair Value         $ 43.18 $ 40.57   $ 43.18
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period         1,157      
Granted, Weighted-Average Grant-Date Fair Value         $ 46.82 $ 36.51 $ 44.18  
Fair value of restricted units and shares vested         $ 41 $ 26 $ 30  
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         $ 22     $ 22
Weighted-average remaining service period, years         1 year 9 months 18 days      
Nonvested, Units         1,254 1,308   1,254
Nonvested, Weighted-Average Grant-Date Fair Value         $ 47.83 $ 37.33   $ 47.83
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage   0.00% 0.00% 125.00%        
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 $ 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        
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     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     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     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     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     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     6,000
Forecast [Member] | TSR Performance Restricted Stock/Units [Member]                
Stock-based Compensation                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage 50.00%