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Financial instruments - Carrying amount and fair value (Details) - EUR (€)
Mar. 31, 2019
Jan. 01, 2019
Dec. 31, 2018
Mar. 31, 2018
Jan. 01, 2018
Jan. 01, 2017
Disclosure of detailed information about financial instruments [line items]            
Cash and cash equivalents. € 958,788,000 € 958,788,000 € 2,145,632,000 € 846,378,000 € 2,145,632,000 € 978,109,000
trade accounts receivable and other receivables 3,856,891,000   3,337,706,000      
accounts receivable related parties 95,281,000   92,662,000      
Derivatives cash flow hedging instruments 1,232,000   1,492,000      
Derivatives not designated as hedging instruments 29,646,000   18,222,000      
Equity investments 147,276,000   140,727,000      
Debt securities 351,125,000   334,035,000      
Other financial assets 232,151,000   251,963,000      
Other Current and Non Current Financial Assets 761,430,000   746,439,000      
Financial assets 5,672,390,000   4,839,973,000   € 4,834,897,000  
accounts payable 707,774,000   641,271,000      
Amounts payable, related party transactions 210,384,000   153,781,000      
Current Debt Instruments Issued 1,427,397,000   1,394,194,000      
Noncurrent Debt Instruments Issued 7,192,978,000   6,152,034,000      
Lease Liability Related Party 4,612,064,000          
Derivatives cash flow hedging instruments liabilities 4,874,000   1,125,000      
Derivatives not designated as hedging instruments liabilities 40,184,000   18,911,000      
Current variable payments outstanding for acquisitions 135,161,000   172,278,000      
Noncontrolling Interest Subject To Put provisions 4,001,000   818,871,000 € 67,120,000    
other current financial liabilities 1,275,539,000   1,467,767,000      
other current and noncurrent financial liabilities 2,287,388,000   2,478,952,000      
Financial liabilities 16,437,985,000   10,820,232,000      
Level 1            
Disclosure of detailed information about financial instruments [line items]            
Cash and cash equivalents.     0      
trade accounts receivable and other receivables     0      
accounts receivable related parties     0      
Derivatives cash flow hedging instruments     0      
Derivatives not designated as hedging instruments     0      
Equity investments 13,045,000   13,869,000      
Debt securities 346,508,000   329,821,000      
Other financial assets     0      
Other Current and Non Current Financial Assets     0      
Financial assets     0      
accounts payable     0      
Amounts payable, related party transactions     0      
Current Debt Instruments Issued     0      
Noncurrent Debt Instruments Issued 4,331,857,000   4,227,684,000      
Derivatives cash flow hedging instruments liabilities     0      
Derivatives not designated as hedging instruments liabilities     0      
Current variable payments outstanding for acquisitions     0      
Noncontrolling Interest Subject To Put provisions     0      
other current financial liabilities     0      
other current and noncurrent financial liabilities     0      
Financial liabilities     0      
Level 2            
Disclosure of detailed information about financial instruments [line items]            
Cash and cash equivalents. 253,057,000   1,313,747,000      
trade accounts receivable and other receivables     0      
accounts receivable related parties     0      
Derivatives cash flow hedging instruments 1,232,000   1,492,000      
Derivatives not designated as hedging instruments 29,646,000   18,222,000      
Equity investments 134,231,000   126,858,000      
Debt securities 4,617,000   4,214,000      
Other financial assets     0      
Other Current and Non Current Financial Assets     0      
Financial assets     0      
Noncurrent Debt Instruments Issued 3,049,725,000   2,022,057,000      
Derivatives cash flow hedging instruments liabilities 4,874,000   1,125,000      
Derivatives not designated as hedging instruments liabilities 40,184,000   18,911,000      
Level 3            
Disclosure of detailed information about financial instruments [line items]            
Current variable payments outstanding for acquisitions 135,161,000   172,278,000      
Noncontrolling Interest Subject To Put provisions 831,630,000   818,871,000      
Financial Assets At Fair Value Through Profit Or Loss Category [Member]            
Disclosure of detailed information about financial instruments [line items]            
Cash and cash equivalents. 253,057,000   1,313,747,000      
trade accounts receivable and other receivables     0      
accounts receivable related parties     0      
Derivatives cash flow hedging instruments     0      
Derivatives not designated as hedging instruments 29,646,000   18,222,000      
Equity investments 113,668,000   106,350,000      
Debt securities 94,223,000   83,213,000      
Other financial assets 0   0      
Other Current and Non Current Financial Assets 237,537,000   207,785,000      
Financial assets 490,594,000   1,521,532,000      
Financial Liabilities At Fair Value Through Profit Or Loss Category [Member]            
Disclosure of detailed information about financial instruments [line items]            
accounts payable     0      
Amounts payable, related party transactions     0      
Current Debt Instruments Issued     0      
Noncurrent Debt Instruments Issued     0      
Derivatives cash flow hedging instruments liabilities     0      
Derivatives not designated as hedging instruments liabilities 40,184,000   18,911,000      
Current variable payments outstanding for acquisitions 135,161,000   172,278,000      
Noncontrolling Interest Subject To Put provisions     0      
other current financial liabilities     0      
other current and noncurrent financial liabilities 175,345,000   191,189,000      
Financial liabilities 175,345,000   191,189,000      
Financial Instruments Not Assigned To Category [Member]            
Disclosure of detailed information about financial instruments [line items]            
Cash and cash equivalents.     0      
trade accounts receivable and other receivables 55,390,000   49,448,000      
accounts receivable related parties     0      
Derivatives cash flow hedging instruments 1,232,000   1,492,000      
Derivatives not designated as hedging instruments     0      
Equity investments     0      
Debt securities     0      
Other financial assets 105,063,000   107,125,000      
Other Current and Non Current Financial Assets 106,295,000   108,617,000      
Financial assets 161,685,000   158,065,000      
accounts payable     0      
Amounts payable, related party transactions     0      
Current Debt Instruments Issued     0      
Noncurrent Debt Instruments Issued 0   36,144,000      
Lease Liability Related Party 4,612,064,000          
Derivatives cash flow hedging instruments liabilities 4,874,000   1,125,000      
Derivatives not designated as hedging instruments liabilities     0      
Current variable payments outstanding for acquisitions     0      
Noncontrolling Interest Subject To Put provisions 831,630,000   818,871,000      
other current financial liabilities     0      
other current and noncurrent financial liabilities 836,504,000   819,996,000      
Financial liabilities 5,448,568,000   856,140,000      
Financial Assets At Amortised Cost [Member]            
Disclosure of detailed information about financial instruments [line items]            
Cash and cash equivalents. 705,731,000   831,885,000      
trade accounts receivable and other receivables 3,801,501,000   3,288,258,000      
accounts receivable related parties 95,281,000   92,662,000      
Other financial assets 127,088,000   144,838,000      
Other Current and Non Current Financial Assets 127,088,000   144,838,000      
Financial assets 4,729,601,000   4,357,643,000      
Financial Liabilities At Amortised Cost [Member]            
Disclosure of detailed information about financial instruments [line items]            
accounts payable 707,774,000   641,271,000      
Amounts payable, related party transactions 210,384,000   153,781,000      
Current Debt Instruments Issued 1,427,397,000   1,394,194,000      
Noncurrent Debt Instruments Issued 7,192,978,000   6,115,890,000      
Derivatives cash flow hedging instruments liabilities     0      
Derivatives not designated as hedging instruments liabilities     0      
Current variable payments outstanding for acquisitions     0      
Noncontrolling Interest Subject To Put provisions     0      
other current financial liabilities 1,275,539,000   1,467,767,000      
other current and noncurrent financial liabilities 1,275,539,000   1,467,767,000      
Financial liabilities 10,814,072,000   9,772,903,000      
Financial Assets At Fair Value Through Other Comprehensive Income Category [Member]            
Disclosure of detailed information about financial instruments [line items]            
Equity investments 33,608,000   34,377,000      
Debt securities 256,902,000   250,822,000      
Other financial assets     0      
Other Current and Non Current Financial Assets 290,510,000   285,199,000      
Financial assets € 290,510,000   € 285,199,000