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Stockholders' Equity, Comprehensive Income and Share-Based Compensation (Share-based Compensation) (Details) - USD ($)
$ in Millions
12 Months Ended
Oct. 25, 2015
Oct. 26, 2014
Oct. 27, 2013
Total share-based compensation and related tax benefits      
Share-based compensation $ 187 $ 177 $ 162
Tax benefit recognized $ 52 $ 50 $ 45