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Revenue from Contracts with Clients - Principal Gains, Net Related To Income and Expense of Dividends (Details) - Equity securities - USD ($) $ in Millions | 3 Months Ended | 6 Months Ended
--- | --- | ---
Mar. 31, 2025 | Mar. 31, 2024 | Mar. 31, 2025 | Mar. 31, 2024
Disaggregation of Revenue [Line Items] |  |  |  |
Dividend income, net reported within Principal Gains, net | $ 2.1 | $ 1.1 | $ 1.3 | $ 2.5
Dividend income on long equity positions |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Dividend income, net reported within Principal Gains, net | 37.3 | 65.8 | 72.9 | 86.0
Dividend expense on short equity positions |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Dividend income, net reported within Principal Gains, net | $ (35.2) | $ (64.7) | $ (71.6) | $ (83.5)

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