Income Taxes (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	Dec. 31, 2017	Sep. 30, 2017	Jun. 30, 2017	Mar. 31, 2017	Dec. 31, 2016	Sep. 30, 2016	Jun. 30, 2016	Mar. 31, 2016	Dec. 31, 2017	Dec. 31, 2016	Dec. 31, 2015
Earnings before income taxes and the provision for income taxes
Earnings before income taxes - U.S.									$ 203.0	$ (724.7)	$ 125.6
Earnings before income taxes - Non-U.S.									860.6	915.2	801.2
Earnings before income taxes and noncontrolling interest	$ 206.4	$ 274.0	$ 297.3	$ 285.9	$ (464.6)	$ 141.9	$ 259.6	$ 253.6	1,063.6	190.5	926.8
Current:
Federal									36.4	37.4	32.5
State									4.6	6.1	(4.3)
Foreign									247.4	251.7	228.3
Total current									288.4	295.2	256.5
Deferred:
Federal									323.7	(239.8)	31.8
State									2.1	(13.2)	2.6
Foreign									(33.9)	(11.9)	(10.5)
Total deferred									291.9	(264.9)	23.9
Provision for income taxes	338.4	$ 79.4	$ 76.2	$ 86.3	$ (183.1)	$ 48.8	$ 84.2	$ 80.4	$ 580.3	$ 30.3	$ 280.4
Effective tax rate									54.60%	15.90%	30.30%
U.S. Federal Corporate Tax Rate prior to the Tax Cuts and Jobs Act									35.00%
U.S. Federal Corporate Tax Rate After the Tax Cuts and Jobs Act									21.00%
Tax reform adjustments to provision for income taxes	273.5								$ 273.5	$ 0.0	$ 0.0
Transition Tax Payable	23.6								23.6
Internal Revenue Service (IRS) [Member]
Deferred:
Accrued Income Taxes	$ 25.1								$ 25.1