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Share-Based Payments - Summary of Inputs Used in Measurement of Fair Value at Grant Date (Details)
1 Months Ended
May 17, 2021
EUR (€)
€ / shares
May 17, 2021
EUR (€)
$ / shares
May 12, 2021
EUR (€)
€ / shares
May 12, 2021
EUR (€)
$ / shares
Dec. 01, 2019
EUR (€)
€ / shares
Oct. 10, 2019
EUR (€)
€ / shares
Nov. 15, 2018
EUR (€)
€ / shares
Feb. 29, 2020
EUR (€)
€ / shares
Feb. 29, 2020
EUR (€)
$ / shares
May 31, 2019
EUR (€)
€ / shares
Apr. 03, 2019
EUR (€)
€ / shares
Management Board Grant                      
Disclosure of terms and conditions of share-based payment arrangement [line items]                      
Weighted average fair value | € € 91.66 € 91.66 € 115.64 € 115.64       € 10.83 € 10.83    
Weighted average share price (in euros per share) € 175.08   € 164.34         € 28.20      
Exercise price (in euros per share) | (per share) € 164.96 € 186.83 € 163.54 € 185.23       € 28.32 € 30.78    
Expected volatility (%) 47.20% 47.20% 47.20% 47.20%       36.60% 36.60%    
Expected life (years) 4.6 4.6 4.6 4.6       4.8 4.8    
Risk-free interest rate (%) 1.50% 1.50% 1.50% 1.50%       1.60% 1.60%    
Management Board Grant | Estimated allocation date 2022                      
Disclosure of terms and conditions of share-based payment arrangement [line items]                      
Weighted average fair value | €               € 111.80 € 111.80    
Weighted average share price (in euros per share)               € 227.62      
Exercise price (in euros per share)               € 229.00      
Expected volatility (%)               43.70% 43.70%    
Expected life (years)               5.8 5.8    
Risk-free interest rate (%)               1.50% 1.50%    
Management Board Grant | Estimated allocation date 2023                      
Disclosure of terms and conditions of share-based payment arrangement [line items]                      
Weighted average fair value | €               € 98.77 € 98.77    
Weighted average share price (in euros per share)               € 227.62      
Exercise price (in euros per share)               € 233.16      
Expected volatility (%)               45.30% 45.30%    
Expected life (years)               5.8 5.8    
Risk-free interest rate (%)               1.50% 1.50%    
Management Board Grant | Estimated allocation date 2024                      
Disclosure of terms and conditions of share-based payment arrangement [line items]                      
Weighted average fair value | €               € 90.31 € 90.31    
Weighted average share price (in euros per share)               € 227.62      
Exercise price (in euros per share)               € 235.52      
Expected volatility (%)               41.00% 41.00%    
Expected life (years)               5.8 5.8    
Risk-free interest rate (%)               1.60% 1.60%    
Management Board Grant | Estimated allocation date 2025                      
Disclosure of terms and conditions of share-based payment arrangement [line items]                      
Weighted average fair value | €               € 90.20 € 90.20    
Weighted average share price (in euros per share)               € 227.62      
Exercise price (in euros per share)               € 240.21      
Expected volatility (%)               42.90% 42.90%    
Expected life (years)               5.8 5.8    
Risk-free interest rate (%)               1.60% 1.60%    
Management Board Grant | Estimated allocation date 2026                      
Disclosure of terms and conditions of share-based payment arrangement [line items]                      
Weighted average fair value | €               € 82.31 € 82.31    
Weighted average share price (in euros per share)               € 227.62      
Exercise price (in euros per share)               € 246.18      
Expected volatility (%)               43.60% 43.60%    
Expected life (years)               5.8 5.8    
Risk-free interest rate (%)               1.60% 1.60%    
Chief Executive Officer Grant                      
Disclosure of terms and conditions of share-based payment arrangement [line items]                      
Weighted average fair value | €           € 5.63          
Weighted average share price (in euros per share)           € 13.60          
Exercise price (in euros per share)           € 13.60          
Expected volatility (%)           41.40%          
Expected life (years)           5.4          
Risk-free interest rate (%)           1.50%          
Employee Stock Ownership Plan                      
Disclosure of terms and conditions of share-based payment arrangement [line items]                      
Weighted average fair value | €         € 9.49   € 7.41     € 7.04 € 6.93
Weighted average share price (in euros per share)         € 19.84   € 14.40     € 16.03 € 15.72
Exercise price (in euros per share)         € 15.82   € 10.14     € 15.39 € 15.03
Expected volatility (%)         46.00%   46.00%     46.00% 46.00%
Expected life (years)         5.5   5.8     6.0 6.0
Risk-free interest rate (%)         0.10%   0.10%     0.10% 0.10%