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Income Taxes (Foreign Tax Differentials) (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2023
Income Tax Disclosure [Abstract]      
Income tax holiday, aggregate dollar amount $ 30.3 $ 25.7 $ 24.8
Income tax holiday, income tax benefits (in dollars per share) $ 0.14 $ 0.12 $ 0.11