v3.25.4
Supplementary cash flow information - Reconciliation of debt to net cash provided by (used in) financing activities (Details)
€ in Thousands, $ in Thousands
 12 Months Ended
Dec. 31, 2025
EUR (€)
Dec. 31, 2024
EUR (€)
Dec. 31, 2023
EUR (€)
May 31, 2024
USD ($)
Aug. 11, 2021
USD ($)
Aug. 11, 2021
EUR (€)
Reconciliation of debt to net cash provided by (used in) financing activities            
Interest expense on lease liabilities € 143,211 € 148,420 € 148,789      
Interest payments included in operating activities 350,789 367,503        
Short-term debt from unrelated parties            
Reconciliation of debt to net cash provided by (used in) financing activities            
Balance at the beginning of period 2,099 456,904        
Cash Flow 15,652 (455,687)        
Acquisitions (net of divestitures)   2,105        
Foreign currency translation (722) 83        
Other (14) (1,306)        
Balance at the end of period 17,015 2,099 456,904      
Long-term debt            
Reconciliation of debt to net cash provided by (used in) financing activities            
Balance at the beginning of period 6,836,108          
Cash Flow 782,968          
Acquisitions (net of divestitures) 227          
Foreign currency translation (346,181)          
Amortization of debt issuance costs and discounts 10,113          
Other 4,646          
Balance at the end of period 7,287,881 6,836,108        
Long-term debt (excluding Accounts Receivable Facility)            
Reconciliation of debt to net cash provided by (used in) financing activities            
Balance at the beginning of period 6,836,108 7,424,705        
Cash Flow   (772,949)        
Acquisitions (net of divestitures)   (2,593)        
Foreign currency translation   183,142        
Amortization of debt issuance costs and discounts   9,029        
Other   (5,226)        
Balance at the end of period   6,836,108 7,424,705      
Accounts Receivable Facility            
Reconciliation of debt to net cash provided by (used in) financing activities            
Balance at the beginning of period   22,857        
Cash Flow   (23,096)        
Foreign currency translation   477        
Other   (238)        
Balance at the end of period     22,857      
Maximum amount available       $ 0 $ 900,000 € 768,049
Lease liabilities from unrelated parties            
Reconciliation of debt to net cash provided by (used in) financing activities            
Balance at the beginning of period 4,027,838 4,012,371        
Cash Flow (623,323) (651,686)        
Acquisitions (net of divestitures) (2,010) (53,764)        
Foreign currency translation (395,778) 193,046        
Other 465,880 527,871        
Balance at the end of period 3,472,607 4,027,838 4,012,371      
Lease liabilities from related parties            
Reconciliation of debt to net cash provided by (used in) financing activities            
Balance at the beginning of period 112,863 133,575        
Cash Flow (25,715) (24,827)        
Foreign currency translation 24 (20)        
Other (69,070) 4,135        
Balance at the end of period € 18,102 € 112,863 € 133,575