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Assets and Liabilities, at Fair Value - Narrative (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Accounts payable and other accrued liabilities $ 272.6 $ 157.5
Cash settlements 0.9  
Remeasurement losses 0.6  
Equity investments in exchange stock - cost 3.7 3.7
Financial instruments, owned, at fair value 2,727.7 2,175.2
Senior secured borrowings, net $ 336.0 0.0
Senior Notes Due Twenty Twenty Two [Member] | Gain Capital Holdings Inc [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Debt instrument, interest rate, stated percentage 5.00%  
Senior Notes Due Twenty Twenty Five [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Debt instrument, interest rate, stated percentage 8.625%  
Fair Value, Measurements, Recurring [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments, owned, at fair value $ 2,727.7 2,175.2
Fair Value, Measurements, Recurring [Member] | Exchange firm Common Stock [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments, owned, at fair value 10.1 12.7
Level 3 [Member] | Fair Value, Measurements, Recurring [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments, owned, at fair value 0.0 0.0
Level 3 [Member] | Fair Value, Measurements, Recurring [Member] | Exchange firm Common Stock [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments, owned, at fair value 0.0 0.0
Level 2 [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Long-term debt, fair value 379.4  
Level 2 [Member] | Fair Value, Measurements, Recurring [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments, owned, at fair value 2,464.5 2,125.1
Level 2 [Member] | Fair Value, Measurements, Recurring [Member] | Exchange firm Common Stock [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments, owned, at fair value $ 0.0 $ 0.0