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Segment disclosure - Net Sales and Long-Lived Assets by Geographic Region (Detail) - EUR (€)
€ in Millions
 12 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Dec. 31, 2020
Segment Reporting Information [Line Items]      
Total net sales € 21,173.4 € 18,611.0 € 13,978.5
Long-lived assets 4,136.9 2,982.7 2,470.3
Japan      
Segment Reporting Information [Line Items]      
Total net sales 1,008.6 459.3 542.8
Long-lived assets 7.9 5.5 8.3
South Korea      
Segment Reporting Information [Line Items]      
Total net sales 6,045.6 6,223.0 4,151.6
Long-lived assets 85.4 61.2 34.1
Singapore      
Segment Reporting Information [Line Items]      
Total net sales 475.5 126.2 84.9
Long-lived assets 5.5 7.3 2.1
Taiwan      
Segment Reporting Information [Line Items]      
Total net sales 8,095.5 7,327.9 4,731.3
Long-lived assets 216.3 163.6 164.3
China      
Segment Reporting Information [Line Items]      
Total net sales 2,916.0 2,740.8 2,324.4
Long-lived assets 40.8 17.0 17.8
Rest of Asia      
Segment Reporting Information [Line Items]      
Total net sales 7.2 1.8 1.6
Long-lived assets 0.2 0.2 0.4
Netherlands      
Segment Reporting Information [Line Items]      
Total net sales 9.2 14.2 1.6
Long-lived assets 2,748.5 2,048.1 1,625.2
EMEA      
Segment Reporting Information [Line Items]      
Total net sales 624.5 134.6 483.3
Long-lived assets 228.5 124.0 129.2
United States      
Segment Reporting Information [Line Items]      
Total net sales 1,991.3 1,583.2 1,657.0
Long-lived assets € 803.8 € 555.8 € 488.9