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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 9 Months Ended
Jun. 30, 2025
Jun. 30, 2024
Jun. 30, 2025
Jun. 30, 2024
Disaggregation of Revenue [Line Items]        
Dividend (loss)/income, net reported within Principal gains, net $ (2.0) $ (1.4) $ (0.7) $ 1.1
Dividend income on long equity positions        
Disaggregation of Revenue [Line Items]        
Dividend (loss)/income, net reported within Principal gains, net 35.8 77.7 108.7 163.7
Dividend expense on short equity positions        
Disaggregation of Revenue [Line Items]        
Dividend (loss)/income, net reported within Principal gains, net $ (37.8) $ (79.1) $ (109.4) $ (162.6)