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Trade accounts and other receivables (Details) - EUR (€)
€ in Thousands
12 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Trade accounts and other receivables    
Trade accounts and other receivables € 3,421,346 € 3,231,500
Other receivables € 100,613 66,496
Collection period for trade accounts receivable 1 year  
Trade accounts receivable included in other non-current assets € 132,144 120,668
Financial instruments credit-impaired    
Trade accounts and other receivables    
Trade accounts and other receivables 264,228 239,465
Gross carrying amount    
Trade accounts and other receivables    
Trade accounts and other receivables 3,562,704 3,349,515
thereof finance lease receivables 57,398 28,726
Gross carrying amount | Financial instruments credit-impaired    
Trade accounts and other receivables    
Trade accounts and other receivables 366,497 325,240
Allowances    
Trade accounts and other receivables    
Trade accounts and other receivables (141,358) (118,015)
Allowances | Financial instruments credit-impaired    
Trade accounts and other receivables    
Trade accounts and other receivables € (102,269) € (85,775)