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Income Taxes - Narrative (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
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 16  
Interest and penalties from continuing operations 1  
Undistributed earnings of foreign subsidiaries 2,062  
Revenue commissioners, Ireland | Subsidiaries    
Operating Loss Carryforwards [Line Items]    
Operating loss carryforward 7,190  
Foreign tax authority    
Operating Loss Carryforwards [Line Items]    
Tax credit carryforward 1,724  
Domestic tax authority    
Operating Loss Carryforwards [Line Items]    
Tax credit carryforward 25,038  
Interest expense carryforward 466  
Tax credit carryforward amount subject to expiration 9,107  
Tax credit carryforward amount not subject to expiration 15,931  
Domestic tax authority | General Business Tax Credit Carryforward    
Operating Loss Carryforwards [Line Items]    
Tax credit carryforward 1,506  
State tax authority    
Operating Loss Carryforwards [Line Items]    
Tax credit carryforward 178  
State and local jurisdiction    
Operating Loss Carryforwards [Line Items]    
Operating loss carryforward $ 23,994