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Income taxes - Components of the Provisions for Income Taxes (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Current      
Federal $ (0.6) $ (9.4) $ (3.1)
State 0.5 1.9 14.9
International 36.7 33.8 28.9
Total current 36.6 26.3 40.7
Deferred      
Federal (2.0) (37.7) 37.1
State (1.2) (3.2) 4.2
International (4.1) 7.2 1.6
Total deferred (7.3) (33.7) 43.0
Income tax (benefit) provision $ 29.3 $ (7.4) $ 83.7