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Income taxes - Current Tax Expense (Details) - EUR (€)
€ in Millions
12 Months Ended
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)