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Reportable Segment Information - Geographic Revenue and Long-lived Assets (Detail) - USD ($) $ in Thousands | 12 Months Ended
--- | ---
Sep. 30, 2021 | Sep. 30, 2020 | Sep. 30, 2019
U.S. [Member] |  |  |
Revenues from External Customers and Long-Lived Assets [Line Items] |  |  |
Long-lived assets, net | $ 25,920 | $ 25,273 |
Ireland [Member] |  |  |
Revenues from External Customers and Long-Lived Assets [Line Items] |  |  |
Long-lived assets, net | $ 41,224 | $ 18,113 |
Revenue [Member] | Geographic Concentration Risk [Member] | Domestic [Member] |  |  |
Revenues from External Customers and Long-Lived Assets [Line Items] |  |  |
Percentage of consolidated revenue | 79.00% | 78.00% | 81.00%
Revenue [Member] | Geographic Concentration Risk [Member] | Foreign [Member] |  |  |
Revenues from External Customers and Long-Lived Assets [Line Items] |  |  |
Percentage of consolidated revenue | 21.00% | 22.00% | 19.00%

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