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Income taxes - Reconciliation of Changes in Unrecognized Tax Benefits (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]      
Balance at January 1 $ 18.9 $ 27.9 $ 35.8
Additions based on tax positions related to the current year 11.1 2.6 4.2
Changes for tax positions of prior years (0.6) (6.1) (11.2)
Reductions as a result of a lapse of applicable statute of limitations (2.3) (2.4) (2.7)
Settlements (1.1) (1.5) (0.2)
Changes due to foreign currency (0.4) (1.6) 2.0
Balance at December 31 $ 25.6 $ 18.9 $ 27.9