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Income taxes - Total Income (Loss) From Continuing Operations Before Income Taxes and Provision (Benefit) for Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Dec. 31, 2020
Sep. 30, 2020
Jun. 30, 2020
Mar. 31, 2020
Dec. 31, 2019
Sep. 30, 2019
Jun. 30, 2019
Mar. 31, 2019
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2018
Income (loss) from continuing operations before income taxes                      
United States                 $ (316.3) $ (148.4) $ (125.8)
Foreign                 44.5 87.8 196.8
Income (loss) from continuing operations before income taxes $ (155.9) $ (7.2) $ (66.8) $ (41.9) $ (32.8) $ (15.0) $ 7.9 $ (20.7) (271.8) (60.6) 71.0
Current                      
United States                 7.3 (17.7) (13.6)
Foreign                 51.5 41.0 51.4
Total                 58.8 23.3 37.8
Deferred                      
Foreign                 (13.4) 4.4 8.2
Total provision for income taxes                 $ 45.4 $ 27.7 $ 46.0