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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% |  |  |

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