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Income taxes - Changes in Amount of Uncertain Tax Positions (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Income taxes      
Unrecognized tax benefits at beginning of year $ 3.2 $ 3.8 $ 4.1
Net increase (decrease):      
Tax positions taken in current period 0.5 0.7 0.6
Lapse due to applicable statute of limitations (1.0) (1.1) (0.7)
Change in currency exchange rates 0.1 (0.2) (0.2)
Unrecognized tax benefits at end of year $ 2.8 $ 3.2 $ 3.8