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Notes to the consolidated statements of income - Income taxes geographical (Details) - EUR (€)
€ in Thousands
12 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Disclosure of geographic region      
Income before income taxes € 1,840,114 € 2,736,736 € 1,997,615
Income tax expense (benefit)      
Current tax expense 337,348 421,908 646,127
Deferred tax income 64,266 89,171 (203,046)
Total tax expense (income) 401,614 511,079 443,081
Germany      
Disclosure of geographic region      
Income before income taxes 101,734 161,861 (20,363)
Income tax expense (benefit)      
Current tax expense (59,928) 45,136 77,934
Deferred tax income 48,313 (34,685) (36,022)
United States      
Disclosure of geographic region      
Income before income taxes 1,149,149 2,191,834 1,589,501
Income tax expense (benefit)      
Current tax expense 168,503 261,211 437,201
Deferred tax income 57,352 145,700 (156,704)
Other      
Disclosure of geographic region      
Income before income taxes 589,231 383,041 428,477
Income tax expense (benefit)      
Current tax expense 228,773 115,561 130,992
Deferred tax income € (41,399) € (21,844) € (10,320)