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Cost-reduction actions - Statement of Income Classifications (Details) - USD ($)
$ in Millions
 12 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Dec. 31, 2022
Restructuring Cost and Reserve [Line Items]      
Cost-reduction charges and other costs $ 20.6 $ 9.3 $ 54.9
Services      
Restructuring Cost and Reserve [Line Items]      
Cost-reduction charges and other costs 8.0 4.9 19.1
Technology      
Restructuring Cost and Reserve [Line Items]      
Cost-reduction charges and other costs 4.1 0.7 7.6
Selling, general and administrative      
Restructuring Cost and Reserve [Line Items]      
Cost-reduction charges and other costs 6.0 6.9 24.7
Research and development      
Restructuring Cost and Reserve [Line Items]      
Cost-reduction charges and other costs (0.1) 0.5 0.6
Other (expense), net      
Restructuring Cost and Reserve [Line Items]      
Cost-reduction charges and other costs $ 2.6 $ (3.7) $ 2.9