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Share-Based Payments - Fair Value and Parameters for Cash-Settled Plans (Details)
12 Months Ended
Dec. 31, 2018
EUR (€)
Dec. 31, 2017
EUR (€)
Dec. 31, 2018
USD ($)
Y
Dec. 31, 2018
EUR (€)
Y
Dec. 31, 2017
USD ($)
Y
Dec. 31, 2017
EUR (€)
Y
LTI Plan 2016            
SHARE-BASED PAYMENTS            
Weighted average fair value       € 65.89   € 84.16
Weighted average share price € 86.93 € 93.45        
Expected dividend yield 1.63% 1.38%        
Weighted average remaining life of awards outstanding (in years) | Y     2.4 2.4 2.9 2.9
Peer Group Index price | $     $ 277.92   $ 247.24  
Peer Group expected dividend yield     1.30% 1.30% 1.16% 1.16%
LTI Plan 2015            
SHARE-BASED PAYMENTS            
Weighted average fair value       € 86.93   € 92.40
Weighted average share price € 86.93 € 93.45        
Risk-free interest rate (depending on maturity)   (0.81%)        
Expected dividend yield   1.38%        
Weighted average remaining life of awards outstanding (in years) | Y     0.1 0.1 0.8 0.8
SOP            
SHARE-BASED PAYMENTS            
Weighted average fair value       € 20.67   € 26.45
Weighted average share price € 86.93 € 93.45        
Expected dividend yield 1.63% 1.38%        
Weighted average remaining life of awards outstanding (in years) | Y     1.2 1.2 1.6 1.6
RSU            
SHARE-BASED PAYMENTS            
Weighted average fair value       € 85.24   € 92.08
Weighted average share price € 86.93 € 93.45        
Expected dividend yield 1.63% 1.38%        
Weighted average remaining life of awards outstanding (in years) | Y     1.0 1.0 1.1 1.1
Lowest | LTI Plan 2016            
SHARE-BASED PAYMENTS            
Risk-free interest rate (depending on maturity) (0.70%) (0.63%)        
Expected volatility 17.90% 17.50%        
Peer Group expected volatility     19.00% 19.00% 16.00% 16.00%
Expected correlation of the SAP share price and index price     36.00% 36.00% 41.00% 41.00%
Lowest | SOP            
SHARE-BASED PAYMENTS            
Risk-free interest rate (depending on maturity) (0.67%) (0.62%)        
Expected volatility 22.80% 21.10%        
Lowest | RSU            
SHARE-BASED PAYMENTS            
Risk-free interest rate (depending on maturity) (0.69%) (0.70%)        
Highest | LTI Plan 2016            
SHARE-BASED PAYMENTS            
Risk-free interest rate (depending on maturity) (0.55%) (0.48%)        
Expected volatility 21.40% 19.60%        
Peer Group expected volatility     24.00% 24.00% 17.00% 17.00%
Expected correlation of the SAP share price and index price     42.00% 42.00% 48.00% 48.00%
Highest | SOP            
SHARE-BASED PAYMENTS            
Risk-free interest rate (depending on maturity) (0.25%) (0.41%)        
Expected volatility 38.50% 34.50%        
Highest | RSU            
SHARE-BASED PAYMENTS            
Risk-free interest rate (depending on maturity) (0.31%) (0.32%)