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Income Taxes - Income Tax Reconciliation (Details) - USD ($) $ in Millions | 3 Months Ended | 12 Months Ended
--- | --- | ---
Dec. 31, 2017 | Dec. 31, 2018 | Dec. 31, 2017 | Dec. 21, 2017 | Dec. 31, 2016
Income Tax [Line Items] |  |  |  |  |
Income tax based on statutory rate |  | $ 158.5 | $ 258.1 |  | $ 245.5
Increase (decrease) resulting from: |  |  |  |  |
Repatriation of non-United States earnings |  | 2.5 | 69.7 |  | (10.5)
State income taxes, net of federal benefit |  | 8.2 | 1.1 |  | 2.2
Change in valuation allowance |  | 0.7 | (6.9) |  | (6.0)
Work Opportunity Tax Credit |  | (8.8) | (10.5) |  | (11.0)
Foreign-Derived Intangible Income deduction |  | (12.5) | 0.0 |  | 0.0
United States Tax Act and French tax reform | $ (73.7) | 3.2 | (73.7) |  | 0.0
Other, net |  | 7.0 | 12.9 |  | 19.9
Total provision |  | 198.0 | 191.9 |  | 257.6
French business tax, gross |  | 74.8 | 72.1 |  | 63.1
French business tax |  |  |  |  |
Increase (decrease) resulting from: |  |  |  |  |
Non-United States tax rate difference |  | 59.1 | 46.9 |  | 41.0
French CICE |  |  |  |  |
Increase (decrease) resulting from: |  |  |  |  |
Non-United States tax rate difference |  | (39.9) | (77.1) |  | 0.0
French tax benefits related to the CICE |  |  |  |  | 58.9
Other |  |  |  |  |
Increase (decrease) resulting from: |  |  |  |  |
Non-United States tax rate difference |  | 20.0 | (28.6) |  | (23.5)
Other | Benefits related to French earnings that are deemed to be permanently invested |  |  |  |  |
Increase (decrease) resulting from: |  |  |  |  |
Non-United States tax rate difference |  |  | (2.4) |  | (1.8)
French business tax difference |  |  |  |  |
Increase (decrease) resulting from: |  |  |  |  |
Non-United States tax rate difference |  | (10.1) | 0.4 |  | $ 0.4
Repatriation of non-United States earnings |  | $ (25.5) | $ 1.3 |  |
Expense recorded prior to the Tax Act |  |  |  |  |
Increase (decrease) resulting from: |  |  |  |  |
Repatriation of non-United States earnings |  |  |  | $ 83.3 |
United States |  |  |  |  |
Income Tax Disclosure [Abstract] |  |  |  |  |
U.S. Federal statutory rate (as a percent) |  | 21.00% | 35.00% |  | 35.00%

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