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Income taxes - Movement in net deferred tax liabilities (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2021
Dec. 31, 2020
Income taxes    
Balance, beginning of year $ 46.4 $ 75.6
Recognized in net income 37.1 (35.2)
Recognized in other comprehensive income 3.5 6.7
Recognized in equity (0.4) 0.3
Other (0.6) (1.0)
Balance, end of year $ 86.0 $ 46.4