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Income Taxes (Details Textual) - USD ($)
$ in Millions
 3 Months Ended 12 Months Ended
Mar. 31, 2018
Dec. 31, 2017
Mar. 31, 2017
Dec. 31, 2017
Jan. 01, 2018
Income Tax Contingency [Line Items]          
Statutory rate 21.00%   35.00%    
Income tax expense (benefit) $ 322.5   $ 239.2    
2017 Tax Act          
Income Tax Contingency [Line Items]          
Statutory rate 21.00%     35.00%  
Income tax expense (benefit)   $ 1,200.0      
Deferred tax liabilities $ 989.6        
Remeasurement of our deferred tax balances in our provisional estimate   $ 184.0      
Current deferred tax liabilities 85.0        
Foreign tax authority          
Income Tax Contingency [Line Items]          
Income tax payment, including penalties and interest $ 65.0        
Foreign earnings in the form of cash and cash equivalents | 2017 Tax Act          
Income Tax Contingency [Line Items]          
Transition Toll Tax repatriation tax rate   15.50%   15.50%  
Other foreign earnings | 2017 Tax Act          
Income Tax Contingency [Line Items]          
Transition Toll Tax repatriation tax rate   8.00%   8.00%  
Accounting Standards Update 2016-16 | Deferred tax asset          
Income Tax Contingency [Line Items]          
Cumulative effect of new accounting principle         $ 2,000.0
Accounting Standards Update 2016-16 | Deferred tax liability          
Income Tax Contingency [Line Items]          
Cumulative effect of new accounting principle         1,500.0
Accounting Standards Update 2016-16 | Retained Earnings          
Income Tax Contingency [Line Items]          
Cumulative effect of new accounting principle         $ 500.0