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Acquisitions (Details)
$ in Thousands
 1 Months Ended 3 Months Ended 12 Months Ended
Jul. 01, 2015
USD ($)
company
airline
Apr. 30, 2016
USD ($)
Jan. 31, 2016
USD ($)
Mar. 31, 2017
USD ($)
Mar. 31, 2016
USD ($)
Dec. 31, 2016
USD ($)
Dec. 31, 2015
USD ($)
Business Acquisition [Line Items]              
Net cash consideration       $ 0 $ 158,668    
Goodwill       2,546,606   $ 2,548,447  
Restructuring charge       $ 0 $ 124    
Abacus International Holdings Ltd [Member]              
Business Acquisition [Line Items]              
Ownership percentage before acquisition 35.00%           35.00%
Gain on remeasurement of previously-held joint venture interest             $ 78,000
Abacus International Holdings Ltd [Member] | Consortium of 11 Airlines [Member]              
Business Acquisition [Line Items]              
Ownership percentage acquired 65.00%            
Ownership percentage 65.00%            
Airpas Aviation [Member]              
Business Acquisition [Line Items]              
Net cash consideration   $ 9,000          
Assets acquired   12,000          
Goodwill   5,000          
Intangible assets acquired   5,000          
Airpas Aviation [Member] | Customer relationships [Member]              
Business Acquisition [Line Items]              
Intangible assets acquired   $ 4,000          
Useful life of intangible assets acquired   10 years          
Airpas Aviation [Member] | Purchased technology [Member]              
Business Acquisition [Line Items]              
Intangible assets acquired   $ 1,000          
Useful life of intangible assets acquired   5 years          
The Trust Group [Member]              
Business Acquisition [Line Items]              
Net cash consideration     $ 156,000        
Goodwill     98,930        
Goodwill tax deductible amount     10,000        
The Trust Group [Member] | Customer relationships [Member]              
Business Acquisition [Line Items]              
Intangible assets acquired     $ 52,292        
Weighted-average useful life of intangible assets acquired     13 years        
The Trust Group [Member] | Purchased technology [Member]              
Business Acquisition [Line Items]              
Intangible assets acquired     $ 23,362        
Weighted-average useful life of intangible assets acquired     2 years        
The Trust Group [Member] | Trademarks and brand names [Member]              
Business Acquisition [Line Items]              
Intangible assets acquired     $ 2,183        
Weighted-average useful life of intangible assets acquired     2 years        
Abacus International Holdings Ltd [Member]              
Business Acquisition [Line Items]              
Net cash consideration $ 443,000            
Goodwill $ 292,267            
Number of airlines in consortium | airline 11            
Number of companies remaining interest bought in | company 3            
Fair value of previously held equity investment $ 202,000            
Restructuring charge           2,000  
Restructuring charges paid           1,000  
Restructuring accrual adjustment           $ 4,000  
Abacus International Holdings Ltd [Member] | Revolving Credit Facility [Member]              
Business Acquisition [Line Items]              
Draw on revolving credit facility 70,000            
Abacus International Holdings Ltd [Member] | Customer relationships [Member]              
Business Acquisition [Line Items]              
Intangible assets acquired $ 319,000            
Weighted-average useful life of intangible assets acquired 20 years            
Abacus International Holdings Ltd [Member] | Reacquired rights [Member]              
Business Acquisition [Line Items]              
Intangible assets acquired $ 113,500            
Weighted-average useful life of intangible assets acquired 7 years            
Abacus International Holdings Ltd [Member] | Purchased technology [Member]              
Business Acquisition [Line Items]              
Intangible assets acquired $ 14,000            
Weighted-average useful life of intangible assets acquired 3 years            
Abacus International Holdings Ltd [Member] | Supplier agreements [Member]              
Business Acquisition [Line Items]              
Intangible assets acquired $ 13,000            
Weighted-average useful life of intangible assets acquired 7 years            
Abacus International Holdings Ltd [Member] | Trademarks and brand names [Member]              
Business Acquisition [Line Items]              
Intangible assets acquired $ 4,000            
Weighted-average useful life of intangible assets acquired 2 years            
Senior Secured Notes [Member] | Senior Secured Notes Due 2023 [Member]              
Business Acquisition [Line Items]              
Interest rate percentage       5.25%      
Data Processing Services [Member] | Abacus International Holdings Ltd [Member]              
Business Acquisition [Line Items]              
Gain on settlement             $ 12,000
Data Processing Services, Renegotiation Agreement [Member] | Abacus International Holdings Ltd [Member]              
Business Acquisition [Line Items]              
Gain on settlement       $ 16,000      
Tax Uncertainties [Member] | Abacus International Holdings Ltd [Member]              
Business Acquisition [Line Items]              
Contingent liabilities $ 25,000