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Intangible assets, net - Finite-Lived Other Intangible Assets (Details) - EUR (€)
€ in Millions
 12 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Dec. 31, 2022
Cost      
Cost, beginning balance € 1,894.9 € 1,857.3  
Additions 14.3 39.3  
Disposals (0.6) (0.3)  
Effect of changes in exchange rates (0.1) (1.4)  
Cost, ending balance 1,908.5 1,894.9 € 1,857.3
Accumulated amortization      
Accumulated amortization, beginning balance 1,153.2 1,014.9  
Amortization 126.0 127.6 135.1
Impairment charges 8.0 11.1  
Disposals (0.5) (0.3)  
Accumulated amortization, ending balance 1,287.2 1,153.2 1,014.9
Carrying amount      
Carrying amount 621.3 741.7  
Accumulated Amortization      
Cost      
Effect of changes in exchange rates 0.5 (0.1)  
Brands      
Cost      
Cost, beginning balance 38.9 38.9  
Additions 0.0 0.0  
Disposals 0.0 0.0  
Effect of changes in exchange rates 0.0 0.0  
Cost, ending balance 38.9 38.9 38.9
Accumulated amortization      
Accumulated amortization, beginning balance 16.8 14.9  
Amortization 1.9 1.9  
Impairment charges 0.0 0.0  
Disposals 0.0 0.0  
Accumulated amortization, ending balance 18.7 16.8 14.9
Carrying amount      
Carrying amount 20.2 22.1  
Brands | Accumulated Amortization      
Cost      
Effect of changes in exchange rates 0.0 0.0  
Intellectual property      
Cost      
Cost, beginning balance 147.1 147.1  
Additions 0.0 0.0  
Disposals 0.0 0.0  
Effect of changes in exchange rates 0.0 0.0  
Cost, ending balance 147.1 147.1 147.1
Accumulated amortization      
Accumulated amortization, beginning balance 104.1 95.8  
Amortization 8.3 8.3  
Impairment charges 0.0 0.0  
Disposals 0.0 0.0  
Accumulated amortization, ending balance 112.4 104.1 95.8
Carrying amount      
Carrying amount 34.7 43.0  
Intellectual property | Accumulated Amortization      
Cost      
Effect of changes in exchange rates 0.0 0.0  
Developed technology      
Cost      
Cost, beginning balance 1,220.2 1,220.2  
Additions 0.0 0.0  
Disposals 0.0 0.0  
Effect of changes in exchange rates 0.0 0.0  
Cost, ending balance 1,220.2 1,220.2 1,220.2
Accumulated amortization      
Accumulated amortization, beginning balance 754.2 677.4  
Amortization 74.5 76.8  
Impairment charges 0.0 0.0  
Disposals 0.0 0.0  
Accumulated amortization, ending balance 828.7 754.2 677.4
Carrying amount      
Carrying amount 391.5 466.0  
Developed technology | Accumulated Amortization      
Cost      
Effect of changes in exchange rates 0.0 0.0  
Customer relationships      
Cost      
Cost, beginning balance 228.6 228.6  
Additions 0.0 0.0  
Disposals 0.0 0.0  
Effect of changes in exchange rates 0.0 0.0  
Cost, ending balance 228.6 228.6 228.6
Accumulated amortization      
Accumulated amortization, beginning balance 134.0 121.3  
Amortization 12.6 12.7  
Impairment charges 0.0 0.0  
Disposals 0.0 0.0  
Accumulated amortization, ending balance 146.6 134.0 121.3
Carrying amount      
Carrying amount 82.0 94.6  
Customer relationships | Accumulated Amortization      
Cost      
Effect of changes in exchange rates 0.0 0.0  
Other      
Cost      
Cost, beginning balance 260.1 222.5  
Additions 14.3 39.3  
Disposals (0.6) (0.3)  
Effect of changes in exchange rates (0.1) (1.4)  
Cost, ending balance 273.7 260.1 222.5
Accumulated amortization      
Accumulated amortization, beginning balance 144.1 105.5  
Amortization 28.7 27.9  
Impairment charges 8.0 11.1  
Disposals (0.5) (0.3)  
Accumulated amortization, ending balance 180.8 144.1 € 105.5
Carrying amount      
Carrying amount 92.9 116.0  
Other | Accumulated Amortization      
Cost      
Effect of changes in exchange rates € 0.5 € (0.1)