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Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended 12 Months Ended
Jul. 29, 2018
Jul. 30, 2017
Jul. 29, 2018
Jul. 30, 2017
Jan. 28, 2018
Notes to financial statements [Abstract]          
Income tax expense $ 79 $ 101 $ 146 $ 130  
Tax expense as percentage of income before income tax (as percent) 6.70% 14.80% 5.90% 10.70%  
U.S. federal statutory tax rate (as percent)     21.00%   33.90%