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Income Taxes - Additional Information (Detail) - USD ($) $ in Millions | 12 Months Ended |
--- | --- | ---
Dec. 31, 2017 | Dec. 31, 2016 | Dec. 31, 2015 | Dec. 31, 2014
Tax Note Textuals [Line Items] |  |  |  |
Cash and Cash Equivalents | $ 389.8 | $ 460.7 | $ 415.7 | $ 584.0
Net operating loss carryforwards in Luxembourg | 228.1 |  |  |
Excess Tax benefit from stock activity | 2.7 |  |  |
Excess tax benefit from equity compensation activity | $ 0.0 | 3.2 | 3.4 |
The tax benefits recognized in the Consolidated Financial Statements from such positions are measured based on the largest benefit that has a greater than 50% likelihood of being realized upon ultimate settlement | The tax benefits recognized in the Consolidated Financial Statements from such positions are measured based on the largest benefit that has a greater than 50% likelihood of being realized upon ultimate settlement. |  |  |
Estimated change in unrecognized tax benefits | $ 16.0 |  |  |
Interest (income) expense related to tax matters | (2.4) | (2.9) | (5.7) |
Interest accrued from income tax examinations | 4.1 | 6.8 | 9.8 |
Tax Matters Agreement Receivable, Total |  |  | $ 14.8 |
Tax Matters Agreement, Collection |  | $ 1.5 |  |
Continuing Operations [Member] |  |  |  |
Tax Note Textuals [Line Items] |  |  |  |
Unrecognized Tax Benefits that Would Impact Effective Tax Rate | 24.7 |  |  |
Discontinued Operations [Member] |  |  |  |
Tax Note Textuals [Line Items] |  |  |  |
Unrecognized Tax Benefits that Would Impact Effective Tax Rate | $ 2.5 |  |  |
Impacts from U.S. Tax Act of 2017 [Member] |  |  |  |
Tax Note Textuals [Line Items] |  |  |  |
Dividend Received Deduction Percentage | 100.00% |  |  |
Deferred taxes not provided for excess of financial reporting over tax basis of investments in foreign subsidiaries | $ 218.0 |  |  |
Existing Post 1986 Foreign Earnings Subject to One Time US Tax | 1,200.0 |  |  |
One Time Provisional US Tax Expense on Post 1986 Foreign Earnings | 57.9 |  |  |
Tax Expense on Undistributed Foreign Earnings | 37.6 |  |  |
Reversal of Previously Recorded Tax Liability on Undistributed Foreign Earnings | $ 52.3 |  |  |
2018 U.S. Federal Statutory Tax Rate | 21.00% |  |  |
2017 U.S. Federal Statutory Tax Rate | 35.00% |  |  |
Remeasurement of US Net Deferred Taxes | $ 86.0 |  |  |
Uncertain Deferred Tax Assets for Officer Compensation | $ 3.6 |  |  |

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