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Warrant plans - Valuation (Details) - EUR (€)
12 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Warrant Plans      
Share based compensation expense € 38,297,000 € 26,757,000 € 16,536,000
2019 allocated on April 2019      
Warrant Plans      
Exercise Price € 95.11    
Weighted average share price at acceptance date € 107.05    
Weighted average fair value on the acceptance date € 40.04    
Weighted average estimated volatility 35.86%    
Weighted average expected life of the warrant (years) 6 years    
Weighted average risk free rate (%) (0.27%)    
2019 RMV allocated on April 2019      
Warrant Plans      
Exercise Price € 95.11    
Weighted average share price at acceptance date € 107.45    
Weighted average fair value on the acceptance date € 40.05    
Weighted average estimated volatility 35.63%    
Weighted average expected life of the warrant (years) 6 years    
Weighted average risk free rate (%) (0.28%)    
2018 allocated on April 2018      
Warrant Plans      
Exercise Price € 79.88    
Weighted average share price at acceptance date € 84.88    
Weighted average fair value on the acceptance date € 38.39    
Weighted average estimated volatility 39.44%    
Weighted average expected life of the warrant (years) 8 years    
Weighted average risk free rate (%) 0.51%    
2018 RMV allocated on April 2018      
Warrant Plans      
Exercise Price € 79.88    
Weighted average share price at acceptance date € 84.88    
Weighted average fair value on the acceptance date € 38.39    
Weighted average estimated volatility 39.44%    
Weighted average expected life of the warrant (years) 8 years    
Weighted average risk free rate (%) 0.51%    
2017 allocated on May 2017      
Warrant Plans      
Exercise Price € 80.57    
Weighted average share price at acceptance date € 68.67    
Weighted average fair value on the acceptance date € 26.86    
Weighted average estimated volatility 40.06%    
Weighted average expected life of the warrant (years) 8 years    
Weighted average risk free rate (%) 0.33%    
2017 RMV allocated on May 2017      
Warrant Plans      
Exercise Price € 80.57    
Weighted average share price at acceptance date € 68.67    
Weighted average fair value on the acceptance date € 26.80    
Weighted average estimated volatility 40.08%    
Weighted average expected life of the warrant (years) 8 years    
Weighted average risk free rate (%) 0.29%