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Related parties and variable interest entities - Schedule of Related Party Transactions (Details) - EUR (€)
€ in Millions
12 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Dec. 31, 2022
Related Party Transaction [Line Items]      
Loan receivable [1] € 1,456.6 € 929.2  
Investment agreement for 24.9% equity 903.0 919.6  
Accounts receivable [2] 4,477.5 4,334.1  
Accounts payable [3] 3,500.4 2,347.3  
Total purchases € 3,946.5 3,325.9 € 2,693.6
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 € 1,415.7 1,182.7  
Loan receivable 1,440.8 912.4  
Investment agreement for 24.9% equity 903.0 919.6  
Accounts receivable 70.8 7.8  
Accounts payable 955.8 4.0  
Cost to be paid included in Accrued and other liabilities 199.9 € 199.9  
Related party | Maximum exposure to loss      
Related Party Transaction [Line Items]      
Advance payments included in Other assets 1,415.7    
Loan receivable 1,440.8    
Investment agreement for 24.9% equity 903.0    
Accounts receivable 70.8    
Accounts payable 0.0    
Cost to be paid included in Accrued and other liabilities € 0.0    
[1] Loans receivable includes amounts with related parties of €1,440.8 million and €912.4 million at December 31, 2024 and 2023, respectively.
[2] Accounts receivable includes amounts with related parties of €70.8 million and €7.8 million at December 31, 2024 and 2023, respectively.
[3] Accounts payable includes amounts with related parties of €955.8 million and €4.0 million at December 31, 2024 and 2023, respectively.