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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 | 9 Months Ended
--- | --- | ---
Jun. 30, 2024 | Jun. 30, 2023 | Jun. 30, 2024 | Jun. 30, 2023
Disaggregation of Revenue [Line Items] |  |  |  |
Dividend (loss)/income, net reported within Principal Gains, net | $ (1.4) | $ (1.4) | $ 1.1 | $ (1.3)
Dividend income on long equity positions |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Dividend (loss)/income, net reported within Principal Gains, net | 77.7 | 10.2 | 163.7 | 27.5
Dividend expense on short equity positions |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Dividend (loss)/income, net reported within Principal Gains, net | $ (79.1) | $ (11.6) | $ (162.6) | $ (28.8)

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