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Intangible assets, net - Finite-Lived Intangible Assets Amortization Expense (Details) - EUR (€)
€ in Millions
 12 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Dec. 31, 2022
Finite-Lived Intangible Assets [Line Items]      
Amortization € 126.0 € 127.6 € 135.1
Cost of sales      
Finite-Lived Intangible Assets [Line Items]      
Amortization € 103.8 102.7 105.9
Impairment, Intangible Asset, Statement of Income or Comprehensive Income [Extensible Enumeration] Cost of sales    
R&D costs      
Finite-Lived Intangible Assets [Line Items]      
Amortization € 20.8 19.5 18.2
Impairment, Intangible Asset, Statement of Income or Comprehensive Income [Extensible Enumeration] Research and Development Expense    
SG&A      
Finite-Lived Intangible Assets [Line Items]      
Amortization € 1.4 € 5.4 € 11.0
Impairment, Intangible Asset, Statement of Income or Comprehensive Income [Extensible Enumeration] Selling, General and Administrative Expense