Income Taxes (Details Textual) - USD ($) $ in Millions	3 Months Ended	12 Months Ended
	Dec. 31, 2017	Dec. 31, 2018	Dec. 31, 2017	Dec. 31, 2016	Jan. 01, 2018
Tax Credit Carryforward [Line Items]
Effective Income Tax Rate Reconciliation, Foreign Income Tax Rate Differential, Percent		(1.90%)	(11.10%)	(9.60%)
Statutory rate		21.00%	35.00%	35.00%
Income tax benefit (expense)		$ 1,425.6	$ 2,458.7	$ 1,237.3
Deferred tax liabilities, temporary differences, purchase accounting, foreign subsidiaries		1,500.0
GILTI	$ 0.0	(544.6)	0.0
Net impairment on certain tax assets	48.8		48.8
Income Taxes (Textual)
Total deferred charges and prepaid taxes	617.7	239.2	617.7
Unrecognized tax benefit	64.3	109.1	64.3	26.9
Net interest expense		2.2	4.8	$ 9.1
Unrecognized Tax Benefits, Interest on Income Taxes Accrued	16.1	$ 13.8	16.1
2017 Tax Act
Tax Credit Carryforward [Line Items]
Statutory rate		21.00%
Income tax benefit (expense)			1,173.6
Transition toll tax liabilities	989.6	$ 697.0	989.6
Payment for Transition Toll Tax		85.0
Deferred tax liabilities, decrease due to overpayment		150.0
Income tax expense (benefit)	184.0	12.7
Reduction in deferred tax liability, undistributed foreign earnings		34.6
GILTI		135.8
Other tax expense (benefit)		11.0
Foreign Tax Authority
Tax Credit Carryforward [Line Items]
Notice of assessment of corporate withholding tax including penalties and interest		60.0
General Business | Domestic Country
Tax Credit Carryforward [Line Items]
Operating Loss Carryforwards		1.0
Tax Credit Carryforward, Amount		1.3
General Business | State and Local Jurisdiction
Tax Credit Carryforward [Line Items]
Deferred Tax Assets, Operating Loss Carryforwards, State and Local		4.6
General Business | Foreign Tax Authority
Tax Credit Carryforward [Line Items]
Operating Loss Carryforwards		2,200.0
Research | State and Local Jurisdiction
Tax Credit Carryforward [Line Items]
Tax Credit Carryforward, Amount		133.1
Prepaid taxes
Tax Credit Carryforward [Line Items]
Net impairment on certain tax assets	$ 142.6		$ 142.6
Earnings in the form of cash and cash equivalents | 2017 Tax Act
Tax Credit Carryforward [Line Items]
Transition Toll Tax repatriation tax rate	15.50%		15.50%
Other Foreign Earnings | 2017 Tax Act
Tax Credit Carryforward [Line Items]
Transition Toll Tax repatriation tax rate	8.00%		8.00%
ZINBRYTA
Tax Credit Carryforward [Line Items]
Unrecorded tax benefit			$ 93.8
Accounting Standards Update 2016-16 | Deferred tax liability
Tax Credit Carryforward [Line Items]
Cumulative effect of new accounting principle in period of adoption		400.0			$ 1,500.0
Accounting Standards Update 2016-16 | Retained Earnings
Tax Credit Carryforward [Line Items]
Cumulative effect of new accounting principle in period of adoption					500.0
Accounting Standards Update 2016-16 | Deferred Tax Asset
Tax Credit Carryforward [Line Items]
Cumulative effect of new accounting principle in period of adoption					$ 2,000.0
Minimum
Tax Credit Carryforward [Line Items]
Residual U.S. tax liability on reversal of deferred tax liabilities on foreign subsidiaries purchase accounting		300.0
Maximum
Tax Credit Carryforward [Line Items]
Residual U.S. tax liability on reversal of deferred tax liabilities on foreign subsidiaries purchase accounting		$ 400.0
Cost of Sales
Tax Credit Carryforward [Line Items]
Effective Income Tax Rate Reconciliation, Foreign Income Tax Rate Differential, Percent		35000.00%