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Business Combinations (Narrative) (Details)
$ in Thousands
1 Months Ended 3 Months Ended 12 Months Ended
Jan. 01, 2019
USD ($)
Dec. 01, 2018
USD ($)
Oct. 01, 2018
USD ($)
Aug. 01, 2018
USD ($)
Jul. 01, 2018
USD ($)
Apr. 01, 2018
USD ($)
Feb. 01, 2018
USD ($)
Apr. 01, 2017
USD ($)
Jul. 02, 2016
USD ($)
Sep. 02, 2015
USD ($)
Dec. 31, 2018
USD ($)
Mar. 31, 2019
USD ($)
Companies
Mar. 31, 2018
USD ($)
Dec. 31, 2018
USD ($)
Companies
Dec. 31, 2017
USD ($)
Jul. 01, 2016
Sep. 01, 2015
Business Acquisition [Line Items]                                  
Effect of Exchange Rate on Revenue                       $ (5,000)          
Recognized controlling ownership of joint venture                       0 $ (389)        
Other Non-operating income                       $ 3 53 $ 1,162      
Number of Businesses Acquired | Companies                       2   13      
Reduction of acquisition earnout accruals                       $ (15,392) 0        
Goodwill, Translation and Purchase Accounting Adjustments [1]                       0 0 $ (13,718)      
Derivative Liability                     $ 24,976 12,466   24,976 $ 37,096    
Business Combination, Contingent Consideration Arrangements, Change in Amount of Contingent Consideration, Liability                       15,392 0        
Goodwill, Purchase Accounting Adjustments                       (733)   (11,080)      
Goodwill                     946,685 965,640   946,685 $ 666,863    
Fair Value of Joint Venture, excluding Noncontrolling Interest               $ 120,000                  
Fair Value of Joint Venture, including Noncontrolling Interest               150,000                  
Pearl [Member]                                  
Business Acquisition [Line Items]                                  
Payments to Acquire Businesses, Gross   $ 3,400                              
Payments to Acquire Businesses, Net of Cash Acquired                       3,372 0        
Lawson [Member]                                  
Business Acquisition [Line Items]                                  
Payments to Acquire Businesses, Gross   2,700                              
Payments to Acquire Businesses, Net of Cash Acquired                       2,726 0        
Business Travels [Member]                                  
Business Acquisition [Line Items]                                  
Payments to Acquire Businesses, Gross     $ 1,100                            
Payments to Acquire Businesses, Net of Cash Acquired                       689 0        
AHA Taxis [Member]                                  
Business Acquisition [Line Items]                                  
Payments to Acquire Businesses, Gross     310                            
Routier [Member]                                  
Business Acquisition [Line Items]                                  
Payments to Acquire Businesses, Gross     $ 413                            
Equity Method Investment, Ownership Percentage     67.00%                            
Essel [Member]                                  
Business Acquisition [Line Items]                                  
Payments to Acquire Businesses, Gross $ 7,900                                
Payments to Acquire Businesses, Net of Cash Acquired                       7,935 0        
Derivative Liability                       700          
Miles [Member]                                  
Business Acquisition [Line Items]                                  
Payments to Acquire Businesses, Gross       $ 18,300                          
Payments to Acquire Businesses, Net of Cash Acquired                       982 0        
Derivative Liability                       5,600          
Leisure [Member]                                  
Business Acquisition [Line Items]                                  
Payments to Acquire Businesses, Gross         $ 2,100                        
Mercury [Member]                                  
Business Acquisition [Line Items]                                  
Payments to Acquire Businesses, Gross         13,200                        
Indus [Member]                                  
Business Acquisition [Line Items]                                  
Payments to Acquire Businesses, Gross         22,900                        
Derivative Liability                       3,300          
CDL (Centrum) [Member]                                  
Business Acquisition [Line Items]                                  
Payments to Acquire Businesses, Gross           $ 179,500                      
Transcorp [Member]                                  
Business Acquisition [Line Items]                                  
Payments to Acquire Businesses, Gross             $ 7,300                    
Payments to Acquire Businesses, Net of Cash Acquired                       0 6,554        
Payments to Acquire Businesses, Net             6,550                    
Business Combination, Consideration Transferred, Liabilities Incurred             $ 700                    
ItzCash [Member]                                  
Business Acquisition [Line Items]                                  
Payments to Acquire Businesses, Gross               76,300                  
Derivative Liability                       0          
Zillious [Member]                                  
Business Acquisition [Line Items]                                  
Payments to Acquire Businesses, Gross 10,100                                
Payments to Acquire Businesses, Net of Cash Acquired                       9,816 0        
Derivative Liability                       2,200          
Weizmann [Member]                                  
Business Acquisition [Line Items]                                  
Payments to Acquire Businesses, Gross   $ 63,100                 21,100            
Payments to Acquire Businesses, Net of Cash Acquired                       64,624 $ 0        
Cash Acquired from Acquisition Increase (Decrease)                       1,500          
Maximum [Member] | Essel [Member]                                  
Business Acquisition [Line Items]                                  
Derivative Liability 700                                
Maximum [Member] | Miles [Member]                                  
Business Acquisition [Line Items]                                  
Derivative Liability       $ 8,300                          
Maximum [Member] | Indus [Member]                                  
Business Acquisition [Line Items]                                  
Derivative Liability         $ 5,000                        
Maximum [Member] | ItzCash [Member]                                  
Business Acquisition [Line Items]                                  
Derivative Liability               $ 44,000                  
Maximum [Member] | Zillious [Member]                                  
Business Acquisition [Line Items]                                  
Derivative Liability $ 2,200                                
Contingent accrued earn-out acquisition consideration [Member]                                  
Business Acquisition [Line Items]                                  
Derivative Liability                     24,976 12,466   24,976      
Contingent liability for accrued earn-out acquisition consideration                     11,200 10,200   11,200      
Business acquisition, contingent consideration, at fair value, current                     $ 13,800 $ 2,300   $ 13,800      
AHA Taxis [Member]                                  
Business Acquisition [Line Items]                                  
Equity Method Investment, Ownership Percentage     70.00%                            
Weizmann [Member]                                  
Business Acquisition [Line Items]                                  
Equity Method Investment, Ownership Percentage   74.84%                 25.16%     25.16%      
Zillious [Member]                                  
Business Acquisition [Line Items]                                  
Equity Method Investment, Ownership Percentage 80.00%                                
Smartclass [Member]                                  
Business Acquisition [Line Items]                                  
Payments to Acquire Interest in Joint Venture           $ 8,600                      
Equity Method Investment, Ownership Percentage           60.00%                      
EbixHealth JV [Member]                                  
Business Acquisition [Line Items]                                  
Equity Method Investment, Ownership Percentage Increase (Decrease)                 11.00%                
Payments to Acquire Interest in Joint Venture                 $ 2,000 $ 6,000              
Equity Method Investment, Ownership Percentage                               51.00% 40.00%
[1] Recorded as an adjustment to reported general and administrative expenses