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Income Taxes - Income Taxes Computed Using Federal Income Tax Rate (Details) - USD ($) $ in Thousands | 3 Months Ended | 6 Months Ended | 9 Months Ended | 12 Months Ended
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Sep. 30, 2022 | Jun. 30, 2022 | Mar. 31, 2022 | Dec. 31, 2021 | Sep. 30, 2021 | Jun. 30, 2021 | Mar. 31, 2021 | Dec. 31, 2020 | Mar. 31, 2022 | Jun. 30, 2022 | Sep. 30, 2022 | Sep. 30, 2021 | Sep. 30, 2020
Income Tax Disclosure [Abstract] |  |  |  |  |  |  |  |  |  |  |  |  |
Amount computed using statutory rate |  |  |  |  |  |  |  |  |  |  | $ (575) | $ (1,849) | $ (1,977)
Net change in valuation allowance for net deferred tax assets |  |  |  |  |  |  |  |  |  |  | (1,702) | (19) | 221
Other net deferred tax adjustments |  |  |  |  |  |  |  |  |  |  | 1,606 | 0 | 0
Foreign rate differential |  |  |  |  |  |  |  |  |  |  | 267 | 13 | 86
Non-deductible items |  |  |  |  |  |  |  |  |  |  | (64) | (141) | (178)
Transaction costs |  |  |  |  |  |  |  |  |  |  | (411) | 0 | 0
State income tax |  |  |  |  |  |  |  |  |  |  | 273 | (276) | (205)
Research and development credits |  |  |  |  |  |  |  |  |  |  | 1,166 | 1,248 | 897
Foreign income tax |  |  |  |  |  |  |  |  |  |  | 0 | (15) | 10
Contingent consideration |  |  |  |  |  |  |  |  |  |  | 285 | 0 | 0
Uncertain tax positions |  |  |  |  |  |  |  |  |  |  | (318) | 0 | 0
Stock compensation, net |  |  |  |  |  |  |  |  |  |  | (232) | 215 | (449)
Income tax provision (expense)/benefit | $ (773) | $ 880 | $ 20 | $ 168 | $ (637) | $ (304) | $ (417) | $ 534 | $ 188 | $ 1,068 | $ 295 | $ (824) | $ (1,595)

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