Income Taxes (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	Dec. 31, 2018	Sep. 30, 2018	Jun. 30, 2018	Mar. 31, 2018	Dec. 31, 2017	Sep. 30, 2017	Jun. 30, 2017	Mar. 31, 2017	Dec. 31, 2018	Dec. 31, 2017	Dec. 31, 2016
Earnings before income taxes and the provision for income taxes
Earnings before income taxes - U.S.									$ 220.0	$ 203.0	$ 27.5
Earnings before income taxes - Non-U.S.									975.9	860.6	915.2
Earnings before income taxes and noncontrolling interest	$ 266.8	$ 282.7	$ 314.7	$ 331.7	$ 206.4	$ 274.0	$ 297.3	$ 285.9	1,195.9	1,063.6	942.7
Current:
Federal									17.1	36.4	37.4
State									5.4	4.6	6.1
Foreign									258.8	247.4	251.7
Total current									281.3	288.4	295.2
Deferred:
Federal									(39.6)	323.7	23.5
State									(8.5)	2.1	(0.8)
Foreign									(21.9)	(33.9)	(11.9)
Total deferred									(70.0)	291.9	10.8
Provision for income taxes	19.2	66.8	30.4	$ 94.9	338.4	$ 79.4	$ 76.2	$ 86.3	$ 211.3	$ 580.3	$ 306.0
Effective tax rate									17.70%	54.60%	32.50%
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				$ (12.6)	$ 273.5	$ 0.0
Income tax expense, revaluation of deferred tax assets and liabilities due to change of tax law										74.7
Income tax expense related to executive compensation due to change of tax law										11.0
Income Tax Expense (Benefit), Continuing Operations, Adjustment of Deferred Tax (Asset) Liability										104.7
Increase of deferred tax liabilities, future remittance of foreign earnings, due to the Act										94.1
Increase (decrease) in deferred tax assets due to final SAB 118 adjustments									12.9
Increase (decrease) in deferred tax assets, executive compensation, final SAB 118 adjustments									8.7
Income tax expense, one-time transition tax measurement period adjustment due to change of tax law									7.6
Decrease in deferred tax liability, indefinite reinvestment assertion, measurement period adjustments due to change of law									7.3
Effective rate reconciliation, measurement period adjustments due to the Tax Act	7.4	$ (6.6)	$ (13.4)						(12.6)
Deferred tax liability, unremitted foreign earnings	57.4				$ 98.5				57.4	$ 98.5
Undistributed Earnings of Foreign Subsidiaries	300.0								300.0
Deferred Tax Liability Not Recognized, Amount of Unrecognized Deferred Tax Liability, Undistributed Earnings of Foreign Subsidiaries	$ 30.0								$ 30.0