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Income Taxes - Income Tax Reconciliation (Details) - USD ($) $ in Millions	3 Months Ended	12 Months Ended
	Dec. 31, 2017	Dec. 31, 2017	Dec. 21, 2017	Dec. 31, 2016	Dec. 31, 2015
Income Tax Reconciliation [Abstract]
Income tax based on statutory rate		$ 258.1		$ 245.5	$ 231.2
Increase (decrease) resulting from:
Repatriation of non-United States earnings		69.7
Repatriation of non-United States earnings, credit				(10.5)	(16.9)
State income taxes, net of federal benefit		1.1		2.2	2.7
Change in valuation allowance		(6.9)		(6.0)	3.3
United States Tax Act and French tax reform	$ (73.7)	(73.7)		0.0	0.0
Other, net		2.4		8.9	0.8
Total provision		191.9		257.6	241.5
French business tax, gross		72.1		63.1	61.5
French business tax
Increase (decrease) resulting from:
Non-United States tax rate difference		46.9		41.0	40.0
French CICE
Increase (decrease) resulting from:
Non-United States tax rate difference		(77.1)		0.0	0.0
Repatriation of non-United States earnings, credit				(58.9)	(56.2)
Expense recorded prior to the Tax Act
Increase (decrease) resulting from:
Repatriation of non-United States earnings			$ 83.3
Other
Increase (decrease) resulting from:
Non-United States tax rate difference		(28.6)		(23.5)	(19.6)
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)	$ (1.5)
United States
Income Tax Disclosure [Abstract]
U.S. Federal statutory rate (as a percent)		35.00%

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