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Supplementary information on capital management (Details) - EUR (€)
3 Months Ended 12 Months Ended
Mar. 31, 2018
Dec. 31, 2017
Mar. 31, 2017
Dec. 31, 2016
Supplementary information on capital management        
Total equity including noncontrolling interests € 10,910,948,000 € 10,828,186,000 € 11,298,053,000 € 11,051,132,000
Total assets € 24,157,061,000 € 24,025,128,000 € 25,779,672,000  
Debt in % of total assets 31.96% 30.99%    
Total equity in % of total assets 45.16% 45.07%