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Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Jun. 30, 2017
Jun. 30, 2016
Jun. 30, 2017
Jun. 30, 2016
Income Taxes        
Provision for income taxes $ (63.6) $ (75.3) $ (134.6) $ (139.2)
Effective tax rate (as a percent) 20.10% 26.50% 21.90% 27.50%
Impact of acquisition-related expenses on the effective tax rate (in basis points)       1.00%
Liability for unrecognized tax benefits, including penalties and interest, which if recognized would impact the effective tax rate $ 133.7   $ 133.7  
Unrecognized tax benefits that could change in the next twelve-month period 5.7   5.7  
Impact of ASU 2016-09        
Income Taxes        
Provision for income taxes $ 21.2   $ 29.2  
Impact of tax benefits related to stock-based compensation (in basis points) 6.60%   4.70%