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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% |

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