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Stockholders' Equity, Comprehensive Income and Share-Based Compensation (Stock Options) (Details) - USD ($)
$ in Millions
12 Months Ended
Oct. 25, 2015
Oct. 26, 2014
Oct. 27, 2013
Equity [Abstract]      
Aggregate intrinsic value of outstanding stock options $ 6 $ 19 $ 49
Total intrinsic value of stock options exercised 6 39 63
Total fair value of stock options vested 1 1 4
Cash received from stock option exercises 3 29 88
Actual tax benefit realized from options exercised $ 2 $ 12 $ 19