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Shareholders' equity - Earnings per share (Details)
3 Months Ended 6 Months Ended
Jun. 30, 2018
€ / shares
Jun. 30, 2018
$ / shares
Mar. 31, 2018
€ / shares
Mar. 31, 2018
$ / shares
Jun. 30, 2017
€ / shares
Jun. 30, 2017
$ / shares
Jun. 30, 2018
$ / shares
Jun. 30, 2017
$ / shares
Earnings per share in euros                
Earnings per share (in dollars or Euros per share) | (per share) € 1.16 $ 1.38 € 0.81 $ 1.00 € 0.71 $ 0.79 $ 2.39 $ 1.93
Fully-diluted earnings per share (in dollars per share) | (per share) € 1.16 $ 1.38 € 0.81 $ 0.99 € 0.71 $ 0.79 $ 2.38 $ 1.92