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Share-based compensation - Summary of Share Plans (Details)
€ / shares in Units, € in Millions
12 Months Ended
Dec. 31, 2022
EUR (€)
€ / shares
Dec. 31, 2022
$ / shares
Dec. 31, 2021
EUR (€)
€ / shares
Dec. 31, 2021
$ / shares
Dec. 31, 2020
EUR (€)
€ / shares
Dec. 31, 2020
$ / shares
EUR-dominated Awards            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Total fair value at vesting date of shares vested during the year (in millions) € 120.6   € 156.9   € 124.9  
Weighted average fair value of shares granted (in usd/eur per share) | € / shares € 578.65   € 547.79   € 297.05  
US-denominated Awards            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Total fair value at vesting date of shares vested during the year (in millions) € 149.6   € 164.0   € 133.9  
Weighted average fair value of shares granted (in usd/eur per share) | $ / shares   $ 553.61   $ 498.64   $ 302.75