Income Taxes - Schedule of Deferred Income Taxes, Net (Parenthetical) (Details) $ in Millions	12 Months Ended
	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