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Income Taxes - Schedule of Effective Income Tax Rate Reconciliation (Details) | 2 Months Ended | 4 Months Ended | 6 Months Ended | 12 Months Ended
--- | --- | --- | --- | ---
Dec. 31, 2021 | Oct. 19, 2021 | Jun. 30, 2021 | Dec. 31, 2023 | Dec. 31, 2022
Income Tax Disclosure [Abstract] |  |  |  |  |
Income tax at U.S. Federal statutory rate | 21.00% |  |  | 21.00% | 21.00%
State and local taxes, net of federal impact | 1.70% |  |  | 2.40% | 0.30%
Income tax at U.K. Federal statutory rate |  | 19.00% | 19.00% |  |
U.S. tax on foreign earnings, net of foreign tax credits | 0.00% | (0.30%) | (0.90%) | (2.20%) | (0.90%)
Foreign tax rate differential | 0.30% | 0.50% | (1.30%) | (1.50%) | (0.50%)
State and local tax legislative changes | 0.00% |  |  | 1.30% | 0.60%
Research and development tax credits | 0.20% |  |  | 1.70% | 0.50%
U.S. foreign derived intangible income deduction | 0.00% |  |  | 3.50% | 0.00%
Transaction costs |  | (3.40%) | (1.40%) |  |
Change in valuation allowance | 3.20% | (1.50%) | 3.80% | (9.00%) | (1.40%)
Unrecognized tax benefits | 0.10% |  |  | (2.20%) | (0.20%)
Unrecognized tax benefits |  | (0.90%) | (0.70%) |  |
Nondeductible interest expense |  | (6.90%) | (14.40%) |  |
Stock-based compensation expense | (3.70%) | (1.60%) | 0.00% | (3.20%) | (1.90%)
Warrant liability change in fair value | 0.90% |  |  | (5.50%) | 2.80%
Goodwill impairment | 0.00% |  |  | 0.00% | (14.50%)
Other | (0.90%) | 0.10% | (0.50%) | 0.00% | 0.10%
Total effective income tax rate | 22.80% | 5.00% | 3.60% | 6.30% | 5.90%

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