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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, 2023
Sep. 30, 2022
Sep. 30, 2021
Income Tax Disclosure [Abstract]      
Beginning Balance $ 11,938 $ 15,199 $ 9,851
Additions to current year tax positions 3,933 1,783 2,289
Reductions to prior year tax positions (141) (963)  
Additions to prior year tax positions   112 3,166
Lapse of applicable statute of limitations (4,618) (4,193) (107)
Ending Balance $ 11,112 $ 11,938 $ 15,199