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Income Taxes - Tax rate reconciliation (Details)
3 Months Ended
Mar. 31, 2024
Mar. 31, 2023
Income Taxes    
Federal income tax expense (benefit) at statutory rate 21.00% (21.00%)
Effect of:    
GILTI provisions 11.80%  
Increase in unrecognized tax benefits (ASC 740) 6.10% 3.40%
Return to provision true up 5.10% (0.40%)
Tax effects of foreign operations 2.40% 3.80%
Withholding tax 2.00%  
State income tax net of federal benefit 0.70% 0.30%
Effect of stock-based compensation 0.70% (1.40%)
Foreign rate differential 0.50% 0.90%
Deemed interest (2.70%) (4.60%)
Foreign operations permanent differences - foreign exchange gains and losses (7.90%) 3.50%
Change in valuation allowance (10.40%) 23.80%
Other 0.70% 3.20%
Effective tax rate 30.00% 11.50%
U.S. federal    
Income Taxes    
Federal income tax expense (benefit) at statutory rate 21.00%