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Income taxes - Total Income Before Income Taxes and Provision for Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Dec. 31, 2018
Sep. 30, 2018
Jun. 30, 2018
Mar. 31, 2018
Dec. 31, 2017
Sep. 30, 2017
Jun. 30, 2017
Mar. 31, 2017
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Income (loss) before income taxes                      
United States                 $ (53.6) $ (152.7) $ (88.3)
Foreign                 196.8 80.6 108.8
Income (loss) before income taxes $ 38.1 $ 22.2 $ 20.3 $ 62.6 $ 27.4 $ (40.4) $ (42.3) $ (16.8) 143.2 (72.1) 20.5
Current                      
United States                 4.7 (42.8) 6.7
Foreign                 51.4 33.9 47.7
Total                 56.1 (8.9) 54.4
Deferred                      
Foreign                 8.2 3.4 2.8
Provision (benefit) for income taxes                 $ 64.3 $ (5.5) $ 57.2