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Goodwill and Other Intangible Assets - Changes in Net Carrying Amount of Contracts and Related Customer Relationships (Details) - USD ($)
$ in Thousands
3 Months Ended
Mar. 31, 2018
Mar. 31, 2017
Finite-lived Intangible Assets [Roll Forward]    
Amortization $ (303,977) $ (288,293)
Customer-Related Intangible Assets    
Finite-lived Intangible Assets [Roll Forward]    
Balance as of beginning of period 4,999,028  
Amortization (261,114)  
Currency translation and other (10,957)  
Balance as of end of period 4,900,416  
Customer Relationships    
Finite-lived Intangible Assets [Roll Forward]    
Customer contract additions, net of dealer charge-backs 13,394  
Contract-Based Intangible Assets    
Finite-lived Intangible Assets [Roll Forward]    
Customer contract additions, net of dealer charge-backs $ 160,065