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Income Taxes (Details Textual) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Jul. 31, 2016
Jul. 26, 2015
Jul. 31, 2016
Jul. 26, 2015
Income Tax Disclosure [Abstract]        
Effective income tax rate provision (as percent) 10.50% 12.30% 12.70% 13.30%
Decrease to provision for income taxes       $ 35
Decrease in unrecognized tax benefits reasonably possible $ 15   $ 15