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Income taxes - Changes in Uncertain Tax Positions (Detail) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Dec. 31, 2020
Unrecognized tax benefits:      
Amount at beginning of year $ 6.4 $ 9.6 $ 13.8
Net increase (decrease):      
Tax positions taken in prior periods     (0.3)
Tax positions taken in current period 0.7 0.6 0.6
Lapse due to applicable statute of limitations (3.4) (3.6) (4.8)
Changes in currency exchange rates (0.2) (0.2) 0.3
Amount at end of year $ 3.5 $ 6.4 $ 9.6