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Income Taxes, Unrecognized tax benefits (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Income Taxes      
Unrecognized tax benefits, anticipated adjustment for changing facts and circumstances, over the next twelve month period $ 42.3    
Amount for unrecognized tax benefits, including penalties and interest, which if recognized would impact the effective tax rate 171.0 $ 141.8  
Reconciliation of the gross amounts of unrecognized tax benefits      
Unrecognized tax benefits as of January 1 130.5 127.3 $ 106.2
Gross increases for tax positions in prior periods 20.9 18.9 32.7
Gross increases for tax positions in current period 9.0 2.0 2.4
Settlements 0.0 (14.1) (11.0)
Lapse of statute of limitations (1.3) (3.6) (3.0)
Unrecognized tax benefits at the end of the period 159.1 130.5 127.3
Estimated interest and penalties included in provision for income taxes 4.4 1.1 3.7
Tax-related interest and penalties liability for unrecognized tax benefits $ 42.2 $ 40.5 $ 39.3