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Long-term debt, short-term borrowings, interest and other, net - Narrative (Details)
¥ in Millions, $ in Millions
 12 Months Ended
Dec. 31, 2025
EUR (€)
extension_option
Dec. 31, 2024
EUR (€)
Dec. 31, 2023
EUR (€)
Dec. 31, 2025
JPY (¥)
extension_option
Dec. 31, 2025
TWD ($)
extension_option
Dec. 31, 2024
JPY (¥)
Dec. 31, 2024
TWD ($)
Debt Instrument [Line Items]              
Redemption price, percentage 100.00%            
Investment income € 223,000,000.0 € 182,400,000 € 193,900,000        
Interest expense, nonoperating € 118,300,000 162,600,000 € 152,700,000        
Commercial Paper              
Debt Instrument [Line Items]              
Interest rate on principal amount (in percentage) 2.03%     2.03% 2.03%    
Debt instrument, face amount € 1,500,000,000            
Term of loan to related parties 364 days            
Proceeds from Short-Term Debt € 693,000,000.0 0          
Short-term debt 691,700,000 0          
Committed credit facility              
Debt Instrument [Line Items]              
Maximum borrowing capacity 1,500,000,000 1,500,000,000          
Available credit facility € 0 0          
Number of uncommitted extension options | extension_option 1     1 1    
Line of credit facility, expiration period 1 year            
Non-committed unsecured lines of credit              
Debt Instrument [Line Items]              
Maximum borrowing capacity € 3,000,000,000.0            
Euro facility | Long-term debt obligations, including interest              
Debt Instrument [Line Items]              
Long term debt 40,500,000 € 44,100,000          
Japanese facility | Long-term debt obligations, including interest              
Debt Instrument [Line Items]              
Long term debt | ¥       ¥ 10,200.0   ¥ 4,825.0  
Taiwanese facility | Long-term debt obligations, including interest              
Debt Instrument [Line Items]              
Long term debt | $         $ 268.7   $ 553.7
Berliner Glas              
Debt Instrument [Line Items]              
Secured long-term debt, noncurrent € 16,400,000            
Interest rate on principal amount (in percentage) 0.50%     0.50% 0.50%