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Income taxes - Narrative (Details) - EUR (€)
€ in Millions
 12 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Income Tax Disclosure [Line Items]        
Income tax provision based on ASML's domestic rate (in percentage) 25.80% 25.80% 25.80%  
Effective income tax rate reconciliation (in percentage) 18.60% 15.80% 15.00%  
Current year tax (expense) / benefit € 1,535.6 € 1,766.1 € 1,440.9  
Unrecognized tax benefits, amount, excluding interest and penalties 214.0 193.6 160.0 € 144.3
Unrecognized tax benefits that would impact effective tax rate 188.4 176.7    
Balance of accrued interest and penalties 39.1 56.1 55.5  
Accrued interest and penalties (17.7) 3.4 € (5.0)  
Decrease to liability for unrecognized tax benefits € 0.6      
Timing on decrease of liability for unrecognized tax benefits 12 months      
Unrecognized temporary difference € 1,010.2 € 673.9    
Global Minimum Tax        
Income Tax Disclosure [Line Items]        
Current year tax (expense) / benefit 2.5      
With expiration date        
Income Tax Disclosure [Line Items]        
Carryforward losses 12.1      
With no expiration date        
Income Tax Disclosure [Line Items]        
Carryforward losses 0.0      
No expiration date        
Income Tax Disclosure [Line Items]        
Tax credit carryforward amount 209.4      
With expiration date        
Income Tax Disclosure [Line Items]        
Tax credit carryforward amount € 57.1