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Income taxes - Current Tax Expense (Details) - EUR (€) € in Millions | 12 Months Ended
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Dec. 31, 2022 | Dec. 31, 2021 | Dec. 31, 2020
Income Tax Disclosure [Abstract] |  |  |
Current year tax expense | € (1,440.9) | € (1,367.2) | € (743.7)
Prior year tax expense | (55.8) | (21.3) | (39.3)
Total income tax expense current | € (1,496.7) | € (1,388.5) | € (783.0)

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