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Supplementary information on capital management (Details) - EUR (€)
3 Months Ended 6 Months Ended 12 Months Ended
Dec. 31, 2018
Mar. 31, 2018
Jun. 30, 2019
Dec. 31, 2017
Jun. 30, 2018
Supplementary information on capital management          
Total equity including noncontrolling interests € 12,901,958,000 € 11,978,295,000 € 12,800,451,000 € 10,823,110,000  
Debt     13,409,563,000    
Total assets € 26,242,268,000   € 31,956,001,000   € 25,044,928,000
Debt in % of total assets 28.80% 28.80% 42.00% 30.99%  
Total equity in % of total assets 49.20% 49.20% 40.10% 45.07%