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Income Taxes - Schedule of Deferred Income Taxes, Net (Parenthetical) (Details) $ in Millions | 12 Months Ended
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Sep. 30, 2023 USD ($)
Income Tax Disclosure [Line Items] |
NOL carryforwards, U.S. state | $ 0.3
NOL carryforwards, Ireland | $ 4.2
State [Member] |
Income Tax Disclosure [Line Items] |
Net operating loss carryforwards, beginning of expiration year | Jan. 01, 2028
R&D Credit Carryforwards [Member] | Federal and State [Member] | 2028 [Member] |
Income Tax Disclosure [Line Items] |
Net operating loss carryforwards, beginning of expiration year | Jan. 01, 2029

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