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Segment disclosure - Net Sales for New and Used Systems (Details) - EUR (€)
€ in Millions
12 Months Ended
Dec. 31, 2025
Dec. 31, 2024
Dec. 31, 2023
Segment Reporting Information [Line Items]      
Total net sales € 32,667.3 € 28,262.9 € 27,558.5
Net system sales      
Segment Reporting Information [Line Items]      
Total net sales 24,474.3 21,768.7 21,938.6
New systems | Net system sales      
Segment Reporting Information [Line Items]      
Total net sales 23,898.6 21,139.7 21,622.4
Used systems | Net system sales      
Segment Reporting Information [Line Items]      
Total net sales € 575.7 € 629.0 € 316.2