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Employment, Post-Employment Benefits and Share Compensation Plans - Share compensation plans (Details) | 1 Months Ended | 12 Months Ended |
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Mar. 31, 2025 | Mar. 31, 2024 | Oct. 31, 2023 | Mar. 31, 2023 | Oct. 31, 2022 | May 31, 2022 | Jan. 31, 2022 | Oct. 31, 2021 | May 31, 2021 | Feb. 28, 2021 | Dec. 31, 2025 USD ($) EquityInstruments item Y € / shares shares | Dec. 31, 2024 EquityInstruments | Dec. 31, 2023 EquityInstruments | Feb. 14, 2023
Employment, Post-Employment Benefits and Share Compensation Plans |  |  |  |  |  |  |  |  |  |  |  |  |  |
Contribution per share | € / shares |  |  |  |  |  |  |  |  |  |  | € 1 |  |  |
Restricted Share Awards |  |  |  |  |  |  |  |  |  |  |  |  |  |
Employment, Post-Employment Benefits and Share Compensation Plans |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of subscription rights to shares | item |  |  |  |  |  |  |  |  |  |  | 1 |  |  |
Restricted Share Awards | Restricted Share Plan 2020 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Employment, Post-Employment Benefits and Share Compensation Plans |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of bearer shares that may be granted |  |  |  |  |  |  |  |  |  |  | 1,200,000 |  |  |
Threshold number of consecutive calendar years for achievement of targets | Y |  |  |  |  |  |  |  |  |  |  | 4 |  |  |
Assumed fluctuation of share price, share units granted |  |  | 5.00% |  | 5.00% |  |  | 5.00% |  |  |  |  |  |
Restricted Share Awards | Restricted Share Plan 2020 | Minimum |  |  |  |  |  |  |  |  |  |  |  |  |  |
Employment, Post-Employment Benefits and Share Compensation Plans |  |  |  |  |  |  |  |  |  |  |  |  |  |
Exercise period for share-based payments |  |  |  |  |  |  |  |  |  |  | 4 years |  |  |
Assumed fluctuation of share price, share units granted |  |  |  |  |  | 0.00% |  |  | 0.00% |  |  |  |  |
Restricted Share Awards | Restricted Share Plan 2020 | Maximum |  |  |  |  |  |  |  |  |  |  |  |  |  |
Employment, Post-Employment Benefits and Share Compensation Plans |  |  |  |  |  |  |  |  |  |  |  |  |  |
Exercise period for share-based payments |  |  |  |  |  |  |  |  |  |  | 5 years |  |  |
Assumed fluctuation of share price, share units granted |  |  |  |  |  | 5.00% |  |  | 5.00% |  |  |  |  |
Share Performance Awards |  |  |  |  |  |  |  |  |  |  |  |  |  |
Employment, Post-Employment Benefits and Share Compensation Plans |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of subscription rights to shares | item |  |  |  |  |  |  |  |  |  |  | 2 |  |  |
Number of shares to which one subscription right entitles |  |  |  |  |  |  |  |  |  |  | 1 |  |  |
Share Performance Awards | Share Performance Plan 2017 and 2022 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Employment, Post-Employment Benefits and Share Compensation Plans |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of trading days for exercise of shares |  |  |  |  |  |  |  |  |  |  | 10 days |  |  |
Holding period for share-based payments |  |  |  |  |  |  |  |  |  |  | 4 years |  |  |
Threshold number of consecutive calendar years for achievement of targets | Y |  |  |  |  |  |  |  |  |  |  | 4 |  |  |
Number of key performance indicators in share-based payments | item |  |  |  |  |  |  |  |  |  |  | 2 |  |  |
Share Performance Awards | Share Performance Plan 2017 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Employment, Post-Employment Benefits and Share Compensation Plans |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of bearer shares that may be granted |  |  |  |  |  |  |  |  |  |  | 6,000,000 |  |  |
Share Performance Awards | Share Performance Plan 2017 | Minimum |  |  |  |  |  |  |  |  |  |  |  |  |  |
Employment, Post-Employment Benefits and Share Compensation Plans |  |  |  |  |  |  |  |  |  |  |  |  |  |
Assumed fluctuation of share price, share units granted |  |  |  |  |  |  | 0.00% |  |  | 0.00% |  |  |  |
Share Performance Awards | Share Performance Plan 2017 | Maximum |  |  |  |  |  |  |  |  |  |  |  |  |  |
Employment, Post-Employment Benefits and Share Compensation Plans |  |  |  |  |  |  |  |  |  |  |  |  |  |
Assumed fluctuation of share price, share units granted |  |  |  |  |  |  | 5.00% |  |  | 5.00% |  |  |  |
Share Performance Awards | Share Performance Plan 2022 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Employment, Post-Employment Benefits and Share Compensation Plans |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of bearer shares that may be granted |  |  |  |  |  |  |  |  |  |  | 6,000,000 |  |  |
Assumed fluctuation of share price, share units granted |  |  |  | 5.00% |  |  |  |  |  |  |  |  |  |
Share Performance Awards | Share Performance Plan 2022 | Minimum |  |  |  |  |  |  |  |  |  |  |  |  |  |
Employment, Post-Employment Benefits and Share Compensation Plans |  |  |  |  |  |  |  |  |  |  |  |  |  |
Assumed fluctuation of share price, share units granted | 0.00% | 0.00% |  |  |  |  |  |  |  |  |  |  |  |
Share Performance Awards | Share Performance Plan 2022 | Maximum |  |  |  |  |  |  |  |  |  |  |  |  |  |
Employment, Post-Employment Benefits and Share Compensation Plans |  |  |  |  |  |  |  |  |  |  |  |  |  |
Assumed fluctuation of share price, share units granted | 5.00% | 5.00% |  |  |  |  |  |  |  |  |  |  |  |
Restricted Share Units |  |  |  |  |  |  |  |  |  |  |  |  |  |
Employment, Post-Employment Benefits and Share Compensation Plans |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of share units granted | EquityInstruments |  |  |  |  |  |  |  |  |  |  | 1,105,000 | 592,000 | 603,000 |
Restricted Share Units | U.S. Restricted Share Unit Plan |  |  |  |  |  |  |  |  |  |  |  |  |  |
Employment, Post-Employment Benefits and Share Compensation Plans |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of ordinary shares represented by each ADS |  |  |  |  |  |  |  |  |  |  |  |  |  | 0.5
Number of share units granted | EquityInstruments |  |  |  |  |  |  |  |  |  |  | 591,829 |  |  |
Fair value of share units granted | $ |  |  |  |  |  |  |  |  |  |  | € 7.07 |  |  |
Assumed fluctuation of share price, share units granted |  |  |  |  |  |  |  |  |  |  | 5.00% |  |  |

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