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Income Taxes (Details Textual) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
May. 01, 2016
Apr. 26, 2015
May. 01, 2016
Apr. 26, 2015
Income Tax Disclosure [Abstract]        
Effective income tax rate provision (as percent) 19.00% 6.40% 14.50% 13.80%
Decrease to provision for income taxes   $ 39   $ 35
Decrease in unrecognized tax benefits reasonably possible $ 15   $ 15