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Property, Plant, and Equipment (Details)
€ in Millions, $ in Millions
12 Months Ended
Dec. 31, 2017
EUR (€)
Dec. 31, 2016
EUR (€)
Dec. 31, 2017
USD ($)
Dec. 31, 2017
EUR (€)
Useful Lives of Property, Plant, and Equipment        
Property, plant and equipment   € 2,580 $ 3,567 € 2,967
Additions (other than from business combinations) € 1,196 933    
Land and Buildings        
Useful Lives of Property, Plant, and Equipment        
Property, plant and equipment   1,137   1,162
Other Property, Plant and Equipment        
Useful Lives of Property, Plant, and Equipment        
Property, plant and equipment   1,297   1,592
Advance Payments and Construction in Progress        
Useful Lives of Property, Plant, and Equipment        
Property, plant and equipment   € 146   € 213