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Cost-reduction actions (Tables)
12 Months Ended
Dec. 31, 2023
Restructuring and Related Activities [Abstract]  
Schedule of Statement of Income Classifications for Charges (Credits) and Reconciliation of Liabilities and Expected Future Payments
The charges (credits) were recorded in the following statement of income (loss) classifications:
Year ended December 31,202320222021
Cost of revenue
Services$4.9 $19.1 $(2.5)
Technology0.7 7.6 7.6 
Selling, general and administrative6.9 24.7 11.1 
Research and development0.5 0.6 3.0 
Other (expenses), net(3.7)2.9 4.0 
Total$9.3 $54.9 $23.2 
Liabilities and expected future payments related to the company’s workforce reduction actions are as follows:
TotalU.S.International
Balance at December 31, 2020$55.9 $13.1 $42.8 
Additional provisions12.3 7.9 4.4 
Payments(38.5)(13.2)(25.3)
Changes in estimates(11.9)(2.1)(9.8)
Translation adjustments(1.5)— (1.5)
Balance at December 31, 202116.3 5.7 10.6 
Additional provisions7.1 3.6 3.5 
Payments(11.5)(4.1)(7.4)
Changes in estimates0.4 (1.0)1.4 
Translation adjustments(0.6)— (0.6)
Balance at December 31, 202211.7 4.2 7.5 
Additional provisions15.2 3.4 11.8 
Payments(10.8)(3.5)(7.3)
Changes in estimates(6.9)(1.6)(5.3)
Translation adjustments0.2  0.2 
Balance at December 31, 2023$9.4 $2.5 $6.9 
Expected future payments on balance at December 31, 2023:
In 2024
$9.4 $2.5 $6.9