Stockholders' Equity, Comprehensive Income and Share-Based Compensation (Restricted Stock Units, Restricted Stock, Performance Shares and Performance Units (Details) - Restricted Stock Units, Restricted Stock, Performance Shares and Performance Units - USD ($) $ / shares in Units, shares in Millions, $ in Millions	12 Months Ended
	Oct. 29, 2017	Oct. 30, 2016	Oct. 25, 2015	Oct. 26, 2014
Shares
Beginning Balance (shares)	25	27	33
Granted (shares)	8	11	10
Vested (shares)	(10)	(11)	(15)
Canceled (shares)	(1)	(2)	(1)
Ending Balance (shares)	22	25	27	33
Non-vested restricted stock units, restricted stock, performance shares and performance units expected to vest (in shares)	20
Weighted Average Grant Date Fair Value
Beginning of Period (in dollars per share)	$ 18.28	$ 16.41	$ 12.59
Granted (in dollars per share)	31.79	18.54	22.60
Vested (in dollars per share)	16.50	14.25	12.04
Canceled (in dollars per share)	21.25	17.57	14.98
Ending Balance (in dollars per share)	23.96	$ 18.28	$ 16.41	$ 12.59
Non-vested restricted stock units, restricted stock, performance shares and performance units expected to vest (in dollars per share)	$ 23.30
Weighted Average Remaining Contractual Term
Weighted average remaining contractual term	2 years 2 months 18 days	2 years 3 months 18 days	2 years 2 months 12 days	2 years 3 months 18 days
Non-vested restricted stock units, restricted stock, performance shares and performance units expected to vest, Weighted Average Remaining Contractual Term	2 years 10 days
Aggregate Intrinsic Value
Aggregate Intrinsic Value	$ 1,239	$ 718	$ 440	$ 698
Expected to vest, Aggregate Intrinsic Value	$ 1,107