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Income taxes - Valuation Allowance (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Movement In Deferred Tax Assets, Valuation Allowance [Roll Forward]      
Valuation allowance, at beginning of year $ (1,110.5) $ (1,226.2) $ (1,271.5)
Increase (decrease) in valuation allowance (2.1)    
Valuation allowance, at end of year (1,150.1) (1,110.5) (1,226.2)
Change in valuation allowances 2.1 (9.8) (0.8)
Actuarial pension adjustments      
Movement In Deferred Tax Assets, Valuation Allowance [Roll Forward]      
Increase (decrease) in valuation allowance 84.5 70.7 99.5
Expired net operating losses/tax credits      
Movement In Deferred Tax Assets, Valuation Allowance [Roll Forward]      
Increase (decrease) in valuation allowance 42.9 52.3 50.0
Foreign exchange      
Movement In Deferred Tax Assets, Valuation Allowance [Roll Forward]      
Increase (decrease) in valuation allowance (6.8) 14.8 18.4
Recognition of net income tax benefit      
Movement In Deferred Tax Assets, Valuation Allowance [Roll Forward]      
Increase (decrease) in valuation allowance (125.9) (43.9) (102.1)
Other      
Movement In Deferred Tax Assets, Valuation Allowance [Roll Forward]      
Increase (decrease) in valuation allowance (34.3) 21.8 (20.5)
US Pension Activity      
Movement In Deferred Tax Assets, Valuation Allowance [Roll Forward]      
Change in valuation allowances $ (95.9) $ (11.3) $ (84.9)