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Income taxes - Reconciliation (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Income Tax Disclosure [Abstract]      
U.S. $ (805.1) $ (442.6) $ 100.1
International 73.9 224.0 203.3
Earnings (losses) before taxes on income (731.2) (218.6) 303.4
Federal tax at statutory rates (153.6) (46.0) 63.5
State taxes, net of federal benefit (52.7) (13.5) 14.1
Impact of foreign operations (8.5) (7.2) (18.7)
Change in valuation allowance 193.6 37.8 8.2
Tax credits (0.9) (3.5) (4.7)
Stock compensation 6.8 4.7 (3.9)
Goodwill Impairments 23.3 1.8 8.3
Adjustment of prior year taxes 1.3 (1.8) 0.8
Transaction costs 0.0 0.0 0.1
Compensation limitation 0.3 0.7 2.9
Unrecognized tax benefit (0.6) (9.0) 1.2
GILTI, net 17.8 20.7 13.0
Foreign withholding tax 0.8 4.7 0.0
Permanent differences 1.7 3.2 (1.2)
Income tax (benefit) provision $ 29.3 $ (7.4) $ 83.7