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Related parties and variable interest entities - Schedule of Related Party Transactions (Details) - EUR (€)
€ in Millions
12 Months Ended
Dec. 31, 2025
Dec. 31, 2024
Dec. 31, 2023
Related Party Transaction [Line Items]      
Investment agreement for 24.9% equity € 822.6 € 903.0  
Accounts receivable [1] 3,023.0 4,477.5  
Accounts payable [2] 3,521.8 3,500.4  
Total purchases € 4,406.9 3,946.5 € 3,325.9
Carl Zeiss SMT Holding GmbH & Co. KG | Carl Zeiss SMT Holding GmbH & Co. KG      
Related Party Transaction [Line Items]      
Ownership percentage (in percentage) 24.90%    
Related party      
Related Party Transaction [Line Items]      
Advance payments included in Other assets € 1,191.9 1,415.7  
Loans receivable 1,907.5 1,440.8  
Investment agreement for 24.9% equity 822.6 903.0  
Accounts receivable 1.1 70.8  
Accounts payable 1,085.8 955.8  
Cost to be paid included in Accrued and other liabilities 123.0 € 199.9  
Related party | Maximum exposure to loss      
Related Party Transaction [Line Items]      
Advance payments included in Other assets 1,191.9    
Loans receivable 1,907.5    
Investment agreement for 24.9% equity 822.6    
Accounts receivable 1.1    
Accounts payable 0.0    
Cost to be paid included in Accrued and other liabilities € 0.0    
[1] Accounts receivable includes amounts with related parties of €1.1 million and €70.8 million at December 31, 2025 and 2024, respectively.
[2] Accounts payable includes amounts with related parties of €1,085.8 million and €955.8 million at December 31, 2025 and 2024, respectively.