Stockholders' Equity, Comprehensive Income and Share-Based Compensation (Stock Option Activity) (Details) - $ / shares shares in Millions	12 Months Ended
	Oct. 25, 2015	Oct. 26, 2014	Oct. 27, 2013
Shares
Beginning Balance	2	6	21
Granted and assumed in Varian acquisition	0	0	1
Exercised	(1)	(4)	(11)
Canceled and forfeited	0	0	(5)
Ending Balance	1	2	6
Exercisable, Shares	1	1	5
Weighted Average Exercise Price
Beginning Balance (in dollars per share)	$ 10.87	$ 9.12	$ 10.53
Granted and assumed in Varian acquisition (in dollars per share)	0.00	0.00	15.06
Exercised (in dollars per share)	5.90	7.85	8.16
Canceled and forfeited (in dollars per share)	0.00	0.00	17.62
Ending Balance (in dollars per share)	12.45	10.87	9.12
Exercisable, Weighted Average Exercise Price (in dollars per share)	$ 10.98	$ 7.97	$ 7.90