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Shareholders' equity and share-based payments - Number of shares (Details)
€ / shares in Units, $ in Millions
Dec. 31, 2017
EUR (€)
item
€ / shares
shares
Dec. 31, 2017
USD ($)
item
shares
Dec. 31, 2016
USD ($)
shares
Dec. 31, 2015
USD ($)
shares
Shareholders' equity        
Number of categories of shares | item 1 1    
Authorized share capital (in shares) | shares 3,434,245,369 3,434,245,369 3,449,682,749 3,467,448,093
Share capital € 6,322,474,040 $ 7,882 $ 7,604 $ 7,670
Common shares        
Shareholders' equity        
Common share par value (in Euros per shares) | € / shares € 2.50      
Minimum holding period of shares to earn double voting rights 2 years      
Shareholder maximum voting rights (as a percent) 10.00% 10.00%    
Shareholder maximum double voting rights (as a percent) 20.00% 20.00%    
Minimum ownership percentage for which voting restrictions do not apply 66.67% 66.67%