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Reportable Segment Information - Geographic Revenue and Long-lived Assets (Detail) - USD ($) $ in Thousands | 12 Months Ended
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Sep. 30, 2019 | Sep. 30, 2018 | Sep. 30, 2017
U.S. [Member] |  |  |
Revenues from External Customers and Long-Lived Assets [Line Items] |  |  |
Long-lived assets, including property and equipment and intangible assets net of accumulated depreciation and amortization | $ 24,450 | $ 26,652 |
Ireland [Member] |  |  |
Revenues from External Customers and Long-Lived Assets [Line Items] |  |  |
Long-lived assets, including property and equipment and intangible assets net of accumulated depreciation and amortization | $ 19,524 | $ 21,174 |
Revenue [Member] | Geographic Concentration Risk [Member] | Domestic [Member] |  |  |
Revenues from External Customers and Long-Lived Assets [Line Items] |  |  |
Percentage of revenue | 81.00% | 79.00% | 77.00%
Revenue [Member] | Geographic Concentration Risk [Member] | Foreign [Member] |  |  |
Revenues from External Customers and Long-Lived Assets [Line Items] |  |  |
Percentage of revenue | 19.00% | 21.00% | 23.00%

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