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Derivative Financial Instruments - Gains (Losses) on Derivative Financial Instruments Recorded in Consolidated Statements of Income (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2023
Foreign Currency Forward Contracts      
Derivative [Line Items]      
Gain (loss) on foreign currency forward contracts $ (425) $ 1,580 $ 1,625