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Income Taxes (Reconciliation of the Beginning and Ending Amounts of Gross Unrecognized Tax Benefits) (Details) - USD ($) $ in Thousands | 12 Months Ended
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Sep. 30, 2025 | Sep. 30, 2024 | Sep. 30, 2023
Income Tax Disclosure [Abstract] |  |  |
Beginning Balance | $ 14,274 | $ 11,112 | $ 11,938
Additions to current year tax positions | 4,982 | 5,673 | 3,933
Reductions to prior year tax positions | (231) | (99) | (141)
Additions to prior year tax positions | 250 | 180 | 0
Lapse of applicable statute of limitations | (2,004) | (2,592) | (4,618)
Ending Balance | $ 17,271 | $ 14,274 | $ 11,112

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