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Revenue from Contracts with Clients - Schedule of Principal Gains, Net Related To Income and Expense of Dividends (Details) - Equity securities - USD ($) $ in Millions | 3 Months Ended
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Dec. 31, 2023 | Dec. 31, 2022
Disaggregation of Revenue [Line Items] |  |
Dividend income, net reported within Principal Gains, net | $ 1.4 | $ 1.0
Dividend income on long equity positions |  |
Disaggregation of Revenue [Line Items] |  |
Dividend income, net reported within Principal Gains, net | 20.2 | 14.2
Dividend expense on short equity positions |  |
Disaggregation of Revenue [Line Items] |  |
Dividend income, net reported within Principal Gains, net | $ (18.8) | $ (13.2)

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