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Share-Based Payments - Fair Value and Parameters for Cash-Settled Plans (Details)
12 Months Ended
Dec. 31, 2017
EUR (€)
Dec. 31, 2016
EUR (€)
Dec. 31, 2017
USD ($)
Y
Dec. 31, 2017
EUR (€)
Y
Dec. 31, 2016
USD ($)
Y
Dec. 31, 2016
EUR (€)
Y
LTI 2016 Plan            
SHARE-BASED PAYMENTS            
Weighted average fair value       € 84.16   € 74.54
Weighted average share price € 93.45 € 82.81        
Risk-free interest rate (depending on maturity)   (0.76%)        
Expected volatility   21.20%        
Expected dividend yield 1.38% 1.45%        
Weighted average remaining life of awards outstanding (in years) | Y     2.9 2.9 3.0 3.0
Peer Group Index price | $     $ 247.24   $ 179.57  
Peer Group expected dividend yield     1.16% 1.16% 1.24% 1.24%
Peer Group expected volatility         18.00% 18.00%
Expected correlation of the SAP share price and index price         39.00% 39.00%
LTI 2015 Plan            
SHARE-BASED PAYMENTS            
Weighted average fair value       € 92.40   € 81.10
Weighted average share price € 93.45 € 82.81        
Risk-free interest rate (depending on maturity) (0.81%)          
Expected dividend yield 1.38% 1.45%        
Weighted average remaining life of awards outstanding (in years) | Y     0.8 0.8 1.4 1.4
SOP            
SHARE-BASED PAYMENTS            
Weighted average fair value       € 26.45   € 20.94
Weighted average share price € 93.45 € 82.81        
Expected dividend yield 1.38% 1.46%        
Weighted average remaining life of awards outstanding (in years) | Y     1.6 1.6 2.4 2.4
RSU            
SHARE-BASED PAYMENTS            
Weighted average fair value       € 92.08   € 81.34
Weighted average share price € 93.45 € 82.77        
Expected dividend yield 1.38% 1.45%        
Weighted average remaining life of awards outstanding (in years) | Y     1.1 1.1 1.2 1.2
Lowest | LTI 2016 Plan            
SHARE-BASED PAYMENTS            
Risk-free interest rate (depending on maturity) (0.63%)          
Expected volatility 17.50%          
Peer Group expected volatility     16.00% 16.00%    
Expected correlation of the SAP share price and index price     41.00% 41.00%    
Lowest | LTI 2015 Plan            
SHARE-BASED PAYMENTS            
Risk-free interest rate (depending on maturity)   (0.80%)        
Lowest | SOP            
SHARE-BASED PAYMENTS            
Risk-free interest rate (depending on maturity) (0.62%) (0.51%)        
Expected volatility 21.10% 22.30%        
Lowest | RSU            
SHARE-BASED PAYMENTS            
Risk-free interest rate (depending on maturity) (0.70%) (0.36%)        
Highest | LTI 2016 Plan            
SHARE-BASED PAYMENTS            
Risk-free interest rate (depending on maturity) (0.48%)          
Expected volatility 19.60%          
Peer Group expected volatility     17.00% 17.00%    
Expected correlation of the SAP share price and index price     48.00% 48.00%    
Highest | LTI 2015 Plan            
SHARE-BASED PAYMENTS            
Risk-free interest rate (depending on maturity)   (0.84%)        
Highest | SOP            
SHARE-BASED PAYMENTS            
Risk-free interest rate (depending on maturity) (0.41%) (0.83%)        
Expected volatility 34.50% 51.00%        
Highest | RSU            
SHARE-BASED PAYMENTS            
Risk-free interest rate (depending on maturity) (0.32%) (0.84%)