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Warrant Plans - Valuation (Details) - EUR (€)
12 Months Ended
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Warrant Plans      
Warrants expense € 16,536,000 € 11,034,000 € 5,036,000
2017 allocated on May 2017      
Warrant Plans      
Exercise Price € 80.57    
Share price at acceptance date € 68.67    
Fair value on the acceptance date € 26.85    
Estimated volatility (%) 40.06%    
Time to expiration (years) 8 years    
Risk free rate (%) 0.33%    
2017 RMV allocated on May 2017      
Warrant Plans      
Exercise Price € 80.57    
Share price at acceptance date € 68.67    
Fair value on the acceptance date € 26.80    
Estimated volatility (%) 40.08%    
Time to expiration (years) 8 years    
Risk free rate (%) 0.29%    
2016 (B) allocated on January 2017      
Warrant Plans      
Exercise Price € 62.50    
Share price at acceptance date € 75.18    
Fair value on the acceptance date € 37.27    
Estimated volatility (%) 40.33%    
Time to expiration (years) 8 years    
Risk free rate (%) 0.51%    
2016 allocated on June 2016      
Warrant Plans      
Exercise Price € 46.10    
Share price at acceptance date € 48.71    
Fair value on the acceptance date € 21.95    
Estimated volatility (%) 40.69%    
Time to expiration (years) 8 years    
2016 RMV allocated on June 2016      
Warrant Plans      
Exercise Price € 46.10    
Share price at acceptance date € 47.63    
Fair value on the acceptance date € 21.16    
Estimated volatility (%) 40.69%    
Time to expiration (years) 8 years    
2015 (B) allocated on December 2015      
Warrant Plans      
Exercise Price € 49.00    
Share price at acceptance date € 39.85    
Fair value on the acceptance date € 15.41    
Estimated volatility (%) 41.10%    
Time to expiration (years) 8 years    
Risk free rate (%) 0.24%    
2015 RMV allocated on December 2015      
Warrant Plans      
Exercise Price € 49.00    
Share price at acceptance date € 39.78    
Fair value on the acceptance date € 15.39    
Estimated volatility (%) 41.08%    
Time to expiration (years) 8 years    
Risk free rate (%) 0.28%    
2015 allocated on April 2015      
Warrant Plans      
Exercise Price € 28.75    
Share price at acceptance date € 46.09    
Fair value on the acceptance date € 26.05    
Estimated volatility (%) 39.20%    
Time to expiration (years) 8 years    
Risk free rate (%) 0.39%