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Intangible assets, net - Finite-Lived Intangible Assets Amortization Expense (Detail) - EUR (€)
€ in Millions
12 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Dec. 31, 2020
Finite-Lived Intangible Assets [Line Items]      
Amortization € 135.1 € 133.0 € 123.5
Cost of Sales      
Finite-Lived Intangible Assets [Line Items]      
Amortization 105.9 107.8 101.8
R&D Costs      
Finite-Lived Intangible Assets [Line Items]      
Amortization 18.2 14.5 12.0
SG&A      
Finite-Lived Intangible Assets [Line Items]      
Amortization € 11.0 € 10.7 € 9.7