Stockholders' Equity, Comprehensive Income and Share-Based Compensation (Stock Repurchases) (Details) - USD ($) $ / shares in Units, shares in Millions, $ in Millions	12 Months Ended
	Oct. 29, 2017	Oct. 30, 2016	Oct. 25, 2015
Equity [Abstract]
Shares of common stock repurchased (in shares)	28	96	76
Cost of stock repurchased	$ 1,172	$ 1,892	$ 1,325
Average price paid per share (in dollars per share)	$ 42.08	$ 19.82	$ 17.33