Stockholders' Equity, Comprehensive Income and Share-Based Compensation (Stock Repurchases) (Details) - USD ($) $ / shares in Units, shares in Millions, $ in Millions	12 Months Ended
	Oct. 25, 2015	Oct. 26, 2014	Oct. 27, 2013
Equity [Abstract]
Shares of common stock repurchased (in shares)	76	0	18
Cost of stock repurchased	$ 1,325	$ 0	$ 245
Average price paid per share (in dollars per share)	$ 17.33	$ 0.00	$ 13.60