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Income Taxes - Narrative (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Operating Loss Carryforwards [Line Items]    
Liability for uncertain tax positions, excluding any related interest and penalties $ 22 $ 22
Liability for uncertain tax position, would impact the effective tax rate, if recognized 22  
Accrued interest 17  
Interest and penalties from continuing operations 1  
Undistributed earnings of foreign subsidiaries 731  
Revenue commissioners, Ireland | Subsidiaries    
Operating Loss Carryforwards [Line Items]    
Operating loss carryforward 5,988  
Foreign tax authority    
Operating Loss Carryforwards [Line Items]    
Tax credit carryforward 1,724  
Domestic tax authority    
Operating Loss Carryforwards [Line Items]    
Tax credit carryforward 33,205  
Interest expense carryforward 1,001  
Tax credit carryforward amount subject to expiration 9,107  
Tax credit carryforward amount not subject to expiration 24,098  
Domestic tax authority | General Business Tax Credit Carryforward    
Operating Loss Carryforwards [Line Items]    
Tax credit carryforward 1,705  
State and local jurisdiction    
Operating Loss Carryforwards [Line Items]    
Operating loss carryforward 28,561  
Tax credit carryforward $ 178