Restructuring Charges and Asset Impairments (Restructuring and Asset Impairment Charges) (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 25, 2015	Oct. 26, 2014	Oct. 27, 2013
Restructuring Cost and Reserve [Line Items]
Restructuring charges and asset impairments	$ 14	$ 5	$ 63
Silicon Systems
Restructuring Cost and Reserve [Line Items]
Restructuring charges and asset impairments	0	0	1
Applied Global Services
Restructuring Cost and Reserve [Line Items]
Restructuring charges and asset impairments	0	0	2
Energy and Environmental Solutions
Restructuring Cost and Reserve [Line Items]
Restructuring charges and asset impairments	15	0	25
Corporate Unallocated
Restructuring Cost and Reserve [Line Items]
Restructuring charges and asset impairments	$ (1)	$ 5	$ 35