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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
	Dec. 31, 2024	Dec. 31, 2023
Disaggregation of Revenue [Line Items]
Dividend (expense) income, net reported within Principal Gains, net	$ (0.8)	$ 1.4
Dividend income on long equity positions
Disaggregation of Revenue [Line Items]
Dividend (expense) income, net reported within Principal Gains, net	35.6	20.2
Dividend expense on short equity positions
Disaggregation of Revenue [Line Items]
Dividend (expense) income, net reported within Principal Gains, net	$ (36.4)	$ (18.8)

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