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Property and Equipment, Net Schedule of Property and Equipment, Net (Details) - USD ($)
$ in Millions
Oct. 31, 2017
Oct. 31, 2016
Property, Plant and Equipment [Line Items]    
Land $ 92 $ 89
Buildings and Improvements, Gross 548 562
Leasehold Improvements, Gross 27 49
Machinery and Equipment, Gross 2,057 2,013
Furniture and Fixtures, Gross 426 477
Equipment leased to others 586 525
Construction in Progress, Gross 64 79
Property, Plant and Equipment, Gross 3,800 3,794
Accumulated Depreciation, Depletion and Amortization, Property, Plant, and Equipment 2,474 2,553
Property and equipment, net $ 1,326 $ 1,241