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Income Taxes, Provision for income taxes (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Income before income taxes:      
United States $ 153.0 $ 87.7 $ 134.4
Foreign 1,199.4 1,053.4 918.4
Income before income taxes 1,352.4 1,141.1 1,052.8
Current tax provision:      
United States 200.0 74.6 39.5
Foreign 305.4 263.8 228.1
Provision for income taxes, current 505.4 338.4 267.6
Deferred tax provision (benefit):      
United States 51.0 (32.3) 13.3
Foreign 135.3 2.4 (0.4)
Provision for income taxes, deferred 186.3 (29.9) 12.9
Provision for income taxes $ 691.7 $ 308.5 $ 280.5