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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
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