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Notes to the consolidated statements of income - Research and development expenses (Details) - EUR (€)
3 Months Ended 6 Months Ended
Jun. 30, 2019
Mar. 31, 2019
Jun. 30, 2018
Mar. 31, 2018
Jun. 30, 2019
Jun. 30, 2018
Disclosure of detailed information about intangible assets [line items]            
Research and development expense € 41,020,000   € 37,648,000   € 74,634,000 € 69,545,000
Depreciation and amortisation expense € (387,001,000)   € (180,242,000)   (387,001,000) (355,236,000)
Capitalized development costs            
Disclosure of detailed information about intangible assets [line items]            
Research and development expense         € 161,000 € 369,000
Depreciation and amortisation expense   € 92,000   € 369,000