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Segment disclosure - Net Sales and Long-Lived Assets by Geographic Region (Details) - EUR (€)
€ in Millions
 12 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Dec. 31, 2022
Segment Reporting Information [Line Items]      
Total net sales € 28,262.9 € 27,558.5 € 21,173.4
Long-lived assets 7,234.0 5,799.8 4,136.9
Japan      
Segment Reporting Information [Line Items]      
Total net sales 1,156.0 613.6 1,008.6
Long-lived assets 16.0 10.4 7.9
South Korea      
Segment Reporting Information [Line Items]      
Total net sales 6,408.8 6,949.2 6,045.6
Long-lived assets 241.6 148.1 85.4
Singapore      
Segment Reporting Information [Line Items]      
Total net sales 285.0 282.1 475.5
Long-lived assets 4.3 5.0 5.5
Taiwan      
Segment Reporting Information [Line Items]      
Total net sales 4,354.0 8,074.6 8,095.5
Long-lived assets 473.8 354.5 216.3
China      
Segment Reporting Information [Line Items]      
Total net sales 10,195.1 7,251.8 2,916.0
Long-lived assets 72.7 48.6 40.8
Rest of Asia      
Segment Reporting Information [Line Items]      
Total net sales 3.5 3.9 7.2
Long-lived assets 0.1 0.2 0.2
Netherlands      
Segment Reporting Information [Line Items]      
Total net sales 16.6 25.1 9.2
Long-lived assets 4,621.4 3,783.6 2,748.5
EMEA      
Segment Reporting Information [Line Items]      
Total net sales 1,322.1 1,206.8 624.5
Long-lived assets 443.1 314.5 228.5
United States      
Segment Reporting Information [Line Items]      
Total net sales 4,521.8 3,151.4 1,991.3
Long-lived assets € 1,361.0 € 1,134.9 € 803.8