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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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