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Reporting and Accounting Policies - Additional Information (Details) - USD ($)
12 Months Ended
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Apr. 01, 2015
Property, Plant and Equipment [Line Items]        
Change in Amortized Cost, Prospective Yield Adjustment, Quarterly Cash Flow Update $ 0      
Derivative Assets (Liabilities), at Fair Value, Net 0 $ 0    
Held for sale property $ 5,300,000 $ 8,700,000    
Accelerated vesting percentage 50.00%      
Tax at statutory federal rate 35.00% 35.00% 35.00%  
Open reverse repurchase commitments $ 0 $ 0    
Assets 38,701,200,000 33,427,500,000    
Liabilities 28,912,700,000 24,986,700,000    
Benefit for income taxes $ (540,800,000) $ (413,500,000) $ (611,100,000)  
Computer equipment and laptops [Member]        
Property, Plant and Equipment [Line Items]        
Property and equipment useful life 3 years      
Land and building [Member]        
Property, Plant and Equipment [Line Items]        
Percentage of total property and equipment 66.00% 65.00%    
Software licenses [Member] | Lower Limit        
Property, Plant and Equipment [Line Items]        
Property and equipment useful life 1 year      
Software licenses [Member] | Upper Limit        
Property, Plant and Equipment [Line Items]        
Property and equipment useful life 5 years      
Capitalized software [Member] | Lower Limit        
Property, Plant and Equipment [Line Items]        
Property and equipment useful life 3 years      
Capitalized software [Member] | Upper Limit        
Property, Plant and Equipment [Line Items]        
Property and equipment useful life 10 years      
Buildings, improvements and integrated components [Member] | Lower Limit        
Property, Plant and Equipment [Line Items]        
Property and equipment useful life 7 years      
Buildings, improvements and integrated components [Member] | Upper Limit        
Property, Plant and Equipment [Line Items]        
Property and equipment useful life 40 years      
All other property and equipment [Member] | Lower Limit        
Property, Plant and Equipment [Line Items]        
Property and equipment useful life 3 years      
All other property and equipment [Member] | Upper Limit        
Property, Plant and Equipment [Line Items]        
Property and equipment useful life 15 years      
ARX Holding Corp.        
Property, Plant and Equipment [Line Items]        
Equity interest percentage 69.00% 69.20% 69.20% 5.00%
ARX Holding Corp. | Lower Limit        
Property, Plant and Equipment [Line Items]        
Intangible assets finite lives 2 years      
ARX Holding Corp. | Upper Limit        
Property, Plant and Equipment [Line Items]        
Intangible assets finite lives 11 years      
Accounting Standards Update 2016-01 [Member]        
Property, Plant and Equipment [Line Items]        
Cumulative Effect of New Accounting Principle in Period of Adoption $ 1,300,000,000      
Adjustments for New Accounting Pronouncement        
Property, Plant and Equipment [Line Items]        
Benefit for income taxes (44,700,000)      
Adjustments for New Accounting Pronouncement        
Property, Plant and Equipment [Line Items]        
Benefit for income taxes 25,100,000      
Cash and Cash Equivalents [Member] | ARX Holding Corp.        
Property, Plant and Equipment [Line Items]        
Open reverse repurchase commitments 247,200,000 $ 150,000,000 $ 174,800,000  
Property Subject to Operating Lease [Member] | Pro Forma [Member] | Adjustments for New Accounting Pronouncement        
Property, Plant and Equipment [Line Items]        
Assets 140,000,000      
Liabilities $ 140,000,000      
Tax Year 2018        
Property, Plant and Equipment [Line Items]        
Tax at statutory federal rate 21.00%