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Investment and Other Income (Losses), Net - Narrative (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2023
Other Income and Expenses [Abstract]      
Net gains (losses) recognized on equity securities measured at fair value and trading debt securities $ 5.4 $ 108.1 $ 66.1