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Income taxes - Reconciliation of Changes in Unrecognized Tax Benefits (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]      
Balance at January 1 $ 27.9 $ 35.8 $ 27.7
Additions based on tax positions related to the current year 2.6 4.2 2.7
Changes for tax positions of prior years (6.1) (11.2) 12.0
Reductions as a result of a lapse of applicable statute of limitations (2.4) (2.7) (2.8)
Settlements (1.5) (0.2) (0.1)
Changes due to foreign currency (1.6) 2.0 (3.7)
Balance at December 31 $ 18.9 $ 27.9 $ 35.8