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Issued Capital and Reserves - Share Repurchase Program Authorized Amount (Details)
€ / shares in Units, $ / shares in Units, € in Millions, $ in Millions
1 Months Ended 3 Months Ended 4 Months Ended 5 Months Ended 6 Months Ended
Sep. 30, 2023
USD ($)
$ / shares
shares
Sep. 30, 2023
EUR (€)
€ / shares
shares
Aug. 31, 2023
USD ($)
$ / shares
shares
Aug. 31, 2023
EUR (€)
€ / shares
shares
Jul. 31, 2023
USD ($)
$ / shares
shares
Jul. 31, 2023
EUR (€)
€ / shares
shares
Jun. 30, 2023
USD ($)
$ / shares
shares
Jun. 30, 2023
EUR (€)
€ / shares
shares
Mar. 31, 2023
USD ($)
$ / shares
shares
Mar. 31, 2023
EUR (€)
€ / shares
shares
Feb. 28, 2023
USD ($)
$ / shares
shares
Feb. 28, 2023
EUR (€)
€ / shares
shares
Jan. 31, 2023
USD ($)
$ / shares
shares
Jan. 31, 2023
EUR (€)
€ / shares
shares
Oct. 31, 2022
USD ($)
$ / shares
shares
Oct. 31, 2022
EUR (€)
€ / shares
shares
Sep. 30, 2022
USD ($)
$ / shares
shares
Sep. 30, 2022
EUR (€)
€ / shares
shares
Aug. 31, 2022
USD ($)
$ / shares
shares
Aug. 31, 2022
EUR (€)
€ / shares
shares
Jul. 31, 2022
USD ($)
$ / shares
shares
Jul. 31, 2022
EUR (€)
€ / shares
shares
Jun. 30, 2022
USD ($)
$ / shares
shares
Jun. 30, 2022
EUR (€)
€ / shares
shares
May 31, 2022
USD ($)
$ / shares
shares
May 31, 2022
EUR (€)
€ / shares
shares
Mar. 31, 2022
USD ($)
Mar. 31, 2023
USD ($)
shares
Mar. 31, 2023
EUR (€)
shares
Mar. 17, 2023
USD ($)
Sep. 30, 2023
USD ($)
shares
Sep. 30, 2023
EUR (€)
shares
Mar. 22, 2023
EUR (€)
Oct. 10, 2022
USD ($)
Oct. 31, 2022
USD ($)
shares
Oct. 31, 2022
EUR (€)
shares
Disclosure of reserves within equity [line items]                                                                        
Share repurchase program authorized amount                   € 500.0                                 $ 1,500.0                  
Number of ADSs purchased (in shares) | shares 114,513 114,513 1,261,706 1,261,706 1,738,061 1,738,061 1,532,685 1,532,685 745,196 745,196 857,620 857,620 618,355 618,355 400,483 400,483 2,280,988 2,280,988 1,666,515 1,666,515 519,320 519,320 1,160,219 1,160,219 917,988 917,988   2,221,171 2,221,171   4,646,965 4,646,965     6,945,513 6,945,513
Average price paid per ADS (in dollar per share and euro per share) | (per share) $ 112.22 € 105.07 $ 105.07 € 95.85 $ 107.92 € 97.57 $ 108.92 € 100.45 $ 128.49 € 121.08 $ 138.05 € 129.06 $ 142.26 € 131.12 $ 136.37 € 139.09 $ 135.95 € 137.66 $ 149.08 € 148.24 $ 162.03 € 159.40 $ 140.82 € 133.35 $ 151.76 € 143.99                    
Net amount spend $ 12.9 € 12.0 $ 132.6 € 120.9 $ 187.6 € 169.6 $ 166.9 € 154.0 $ 95.7 € 90.2 $ 118.4 € 110.7 $ 88.0 € 81.1 $ 54.6 € 55.7 $ 310.1 € 314.0 $ 248.4 € 247.0 $ 84.1 € 82.8 $ 163.4 € 154.7 $ 139.3 € 132.2   $ 302.1 € 282.0   $ 500.0 € 456.5     $ 999.9 € 986.4
Share Repurchase Program, Tranche One                                                                        
Disclosure of reserves within equity [line items]                                                                        
Share repurchase program authorized amount                                                                 € 1,000.0 $ 1,000.0    
Share Repurchase Program, Tranche Two                                                                        
Disclosure of reserves within equity [line items]                                                                        
Share repurchase program authorized amount                                                           $ 500.0     500.0      
Share Repurchase Program 2023                                                                        
Disclosure of reserves within equity [line items]                                                                        
Share repurchase program authorized amount | €                                                                 € 500.0