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Shares of the Parent Company (Details)
12 Months Ended
Feb. 01, 2018
shares
May 23, 2017
shares
Jun. 16, 2016
shares
Dec. 31, 2017
EUR (€)
item
shares
Dec. 31, 2016
EUR (€)
shares
Dec. 02, 2015
shares
Shares of the Parent Company            
Number of share classes | item       1    
Number of votes per share | item       1    
Share capital | €       € 246,000,000 € 246,000,000  
Shares held by Group companies       259,887,597    
Shares held by Group companies (as a percent)       4.50%    
Number of shares authorized for issue   560,000,000 1,150,000,000     2,100,000,000
Treasury shares issued (in shares)       12,199,284    
Repurchase of shares authorized (in shares)   560,000,000 575,000,000      
Shares repurchased (in shares)       153,601,462 54,296,182  
Percentage of shares repurchased       2.60%    
Treasury stock shares cancelled (in shares) 207,897,644          
Equity holders of the parent            
Shares of the Parent Company            
Share capital | €       € 245,896,461.96    
Number of shares issued       5,839,404,303    
Stock Option            
Shares of the Parent Company            
Shares issued for share-based payment       415,750    
Other than Stock Option            
Shares of the Parent Company            
Shares issued for share-based payment       2,933,541    
Maximum            
Shares of the Parent Company            
Percentage of shares repurchased   10.00% 10.00%