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Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Jul. 31, 2016
Jul. 26, 2015
Jul. 31, 2016
Jul. 26, 2015
Income Taxes        
Income tax expense $ 64 $ 46 $ 109 $ 84
Effective Income Tax Rate, Continuing Operations 20.30% 64.00% 19.60% 34.30%
Effective Income Tax Rate Reconciliation, at Federal Statutory Income Tax Rate     35.00%  
Reduction of unrecognized tax benefits related to various US state income tax positions $ 48      
State tax benefit $ 13