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Property and Equipment, Net Schedule of Property and Equipment, Net (Details) (USD $)
In Millions, unless otherwise specified
Oct. 31, 2014
Oct. 31, 2013
Property, Plant and Equipment [Abstract]    
Land $ 82us-gaap_Land $ 87us-gaap_Land
Buildings and Improvements, Gross 518us-gaap_BuildingsAndImprovementsGross 575us-gaap_BuildingsAndImprovementsGross
Leasehold Improvements, Gross 60us-gaap_LeaseholdImprovementsGross 68us-gaap_LeaseholdImprovementsGross
Machinery and Equipment, Gross 2,232us-gaap_MachineryAndEquipmentGross 2,289us-gaap_MachineryAndEquipmentGross
Furniture and Fixtures, Gross 487us-gaap_FurnitureAndFixturesGross 444us-gaap_FurnitureAndFixturesGross
Equipment leased to others 677nav_Equipmentleasedtoothers 663nav_Equipmentleasedtoothers
Construction in Progress, Gross 41us-gaap_ConstructionInProgressGross 55us-gaap_ConstructionInProgressGross
Property, Plant and Equipment, Gross 4,097us-gaap_PropertyPlantAndEquipmentGross 4,181us-gaap_PropertyPlantAndEquipmentGross
Accumulated Depreciation, Depletion and Amortization, Property, Plant, and Equipment 2,535us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment 2,440us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment
Property and equipment, net $ 1,562us-gaap_PropertyPlantAndEquipmentNet $ 1,741us-gaap_PropertyPlantAndEquipmentNet