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Business Combinations (Narrative) (Details)
$ in Thousands
1 Months Ended 3 Months Ended 9 Months Ended 12 Months Ended
Aug. 23, 2019
USD ($)
Jan. 01, 2019
USD ($)
Dec. 01, 2018
USD ($)
Oct. 01, 2018
USD ($)
Aug. 01, 2018
USD ($)
Jul. 01, 2018
USD ($)
Apr. 01, 2018
USD ($)
Feb. 01, 2018
USD ($)
Jul. 02, 2016
USD ($)
Sep. 02, 2015
USD ($)
Dec. 31, 2018
USD ($)
Sep. 30, 2019
USD ($)
Mar. 31, 2019
USD ($)
Dec. 31, 2018
USD ($)
Sep. 30, 2018
USD ($)
Jun. 30, 2018
USD ($)
Sep. 30, 2019
USD ($)
Companies
Sep. 30, 2018
USD ($)
Dec. 31, 2018
USD ($)
Companies
Dec. 31, 2017
USD ($)
Jul. 01, 2016
Sep. 01, 2015
Business Acquisition [Line Items]                                            
Recognized controlling ownership of joint venture                       $ 2,710       $ (3,035) $ (10,080) $ 2,292        
Other Non-operating income                       352     $ 7   $ 344 60 $ 1,200      
Number of Businesses Acquired | Companies                                 3   13      
Reduction of acquisition earnout accruals                                 $ (17,124) (645)        
Goodwill, Translation and Purchase Accounting Adjustments [1]                                 0   $ (13,718)      
Derivative Liability                     $ 24,976 10,544   $ 24,976     10,544   24,976 $ 37,096    
Business Combination, Contingent Consideration Arrangements, Change in Amount of Contingent Consideration, Liability                                 17,100 0        
Goodwill, Purchase Accounting Adjustments                                 (1,525)   (11,080)      
Goodwill                     946,685 958,813   946,685     958,813   946,685 $ 666,863    
Wallstreet Canada [Member]                                            
Business Acquisition [Line Items]                                            
Payments to Acquire Businesses, Gross $ 2,100                                          
Payments to Acquire Businesses, Net of Cash Acquired                                 (942) 0        
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                 $ 689 414                
Payments to Acquire Businesses, Net of Cash Acquired                                 (689) 0        
AHA Taxis [Member]                                            
Business Acquisition [Line Items]                                            
Payments to Acquire Businesses, Gross       382                 $ 214 71     72          
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   $ 8,700                                        
Contingency to Acquire Businesses   721                                        
Payments to Acquire Businesses, Net of Cash Acquired                                 (7,935) 0        
Derivative Liability                       710         710          
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                       5,500         5,500          
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                       1,670         1,670          
CDL (Centrum) [Member]                                            
Business Acquisition [Line Items]                                            
Payments to Acquire Businesses, Gross             $ 179,500                              
Payments to Acquire Businesses, Net of Cash Acquired                                 0 (176,137)        
Transcorp [Member]                                            
Business Acquisition [Line Items]                                            
Payments to Acquire Businesses, Gross               $ 7,250                            
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                            
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                       2,100         2,100          
Weizmann [Member]                                            
Business Acquisition [Line Items]                                            
Payments to Acquire Businesses, Gross     $ 63,100               21,100           12,700          
Payments to Acquire Businesses, Net of Cash Acquired                                 (77,350) $ 0        
Cash Acquired from Acquisition Increase (Decrease)                                 $ 1,500          
Equity Method Investment, Ownership Percentage Increase (Decrease)                                 15.10%          
Maximum [Member] | Essel [Member]                                            
Business Acquisition [Line Items]                                            
Derivative Liability   721                                        
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] | Zillious [Member]                                            
Business Acquisition [Line Items]                                            
Derivative Liability   $ 2,200                                        
Contingent accrued earn-out acquisition consideration [Member]                                            
Business Acquisition [Line Items]                                            
Derivative Liability                     25,000 10,500   25,000     $ 10,500   25,000      
Contingent liability for accrued earn-out acquisition consideration                     11,200 9,300   11,200     9,300   11,200      
Business acquisition, contingent consideration, at fair value, current                     $ 13,800 $ 1,300   $ 13,800     $ 1,300   $ 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% 89.94%   25.16%     89.94%   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