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Reportable Segment Information - Geographic Revenue and Long-lived Assets (Detail) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
U.S. [Member]      
Revenues from External Customers and Long-Lived Assets [Line Items]      
Long-lived assets, net $ 24,788 $ 25,920  
Ireland [Member]      
Revenues from External Customers and Long-Lived Assets [Line Items]      
Long-lived assets, net $ 30,505 $ 41,224  
Revenue [Member] | Geographic Concentration Risk [Member] | Domestic [Member]      
Revenues from External Customers and Long-Lived Assets [Line Items]      
Percentage of consolidated revenue 74.00% 79.00% 78.00%
Revenue [Member] | Geographic Concentration Risk [Member] | Foreign [Member]      
Revenues from External Customers and Long-Lived Assets [Line Items]      
Percentage of consolidated revenue 26.00% 21.00% 22.00%