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Provision for Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2022
Sep. 30, 2021
Dec. 31, 2021
Provision for Income Taxes          
Income tax expense (benefit) $ 41.2 $ 20.7 $ 93.0 $ 69.5  
Effective tax rates (as a percent) 31.90% 19.00% 31.80% 25.40%  
Unrecognized tax benefits, excluding penalties and interest $ 46.0   $ 46.0   $ 51.4
Accrued interest and penalties related to uncertain tax positions 4.0   4.0   $ 3.1
Penalties and interest (benefit) expense relating to unrecognized tax benefits $ 0.4 $ 0.2 $ 0.9 $ 0.6  
Statutory tax rate (as a percent)     21.00%    
Change in tax rate - foreign jurisdictions (as a percent)     5.90%    
Germany          
Provision for Income Taxes          
Statutory tax rate (as a percent)     30.00%    
Switzerland          
Provision for Income Taxes          
Statutory tax rate (as a percent)     20.00%