v3.25.4
Related party transactions - Key management personnel (Details) - EUR (€)
€ in Thousands
12 Months Ended
Nov. 30, 2023
Dec. 31, 2023
Dec. 31, 2025
Dec. 31, 2024
Related Party Transactions        
Defined benefit liability (asset)     € 590,684 € 692,638
Capital     293,413 293,413
Germany        
Related Party Transactions        
Defined benefit liability (asset)     498,282 557,185
Germany | Unfunded plan | Benefit obligation        
Related Party Transactions        
Defined benefit liability (asset)     498,282 557,185
Germany | Unfunded plan | Benefit obligation | Former board members of Management AG and active board members which were appointed before January 1, 2019        
Related Party Transactions        
Defined benefit liability (asset)     € 55,434 60,381
Germany | Plan covered by insurance contracts | Benefit obligation        
Related Party Transactions        
Defined benefit liability (asset)       4,137
Germany | Plan covered by insurance contracts | Benefit obligation | Active board members which were appointed after January 1, 2019        
Related Party Transactions        
Defined benefit liability (asset)       € 4,137
General Partner        
Related Party Transactions        
Amount paid for services received from related party   € 31,361    
Annual fee portion of reimbursements paid to related party   € 110    
Annual fee, as percent of General Partner's share capital 4.00%      
Capital € 3,000