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Acquisitions - Gain Capital Holdings Inc Preliminary Purchase Price Allocation (Details) - USD ($)
$ in Millions
1 Months Ended 12 Months Ended
Feb. 29, 2020
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Sep. 01, 2020
Purchase Price Allocation          
Bargain purchase gain   $ 3.3 $ 81.9 $ 5.5  
Acquired finite-lived intangible asset, weighted average useful life   1 year      
Gain Capital Holdings Inc          
Purchase Price Allocation          
Cash and cash equivalents   $ 507.2      
Cash, securities and other assets segregated under federal and other regulations   497.4      
Deposits with and receivables from broker-dealers, clearing organizations, and counterparties   249.7      
Receivables from clients, net   2.0      
Income taxes receivable   0.4      
Deferred income taxes, net   23.0      
Property and equipment, net   6.1      
Right of use assets, net   15.0      
Other assets   17.9      
Total fair value of tangible assets acquired   1,318.7      
Accounts payable and other accrued liabilities   49.4      
Operating lease liabilities   15.0      
Payable to clients   863.4      
Payable to broker-dealers, clearing organizations, and counterparties   0.5      
Income taxes payable   12.4      
Convertible senior notes $ 92.0 92.0      
Total fair value of tangible liabilities assumed   1,032.7      
Fair value of tangible net assets acquired   286.0      
Identifiable intangible assets acquired   35.7      
Fair value of identifiable net assets acquired   321.7      
Total merger consideration $ 236.6 236.6      
Bargain purchase gain   85.1      
Business combination, convertible senior notes redeemed amount         $ 91.5
Gain Capital Holdings Inc | Trademarks/domain names          
Purchase Price Allocation          
Identifiable intangible assets acquired   3.7      
Acquired finite-lived intangible asset, weighted average useful life 5 years        
Gain Capital Holdings Inc | Software programs/platforms          
Purchase Price Allocation          
Identifiable intangible assets acquired   22.2      
Acquired finite-lived intangible asset, weighted average useful life 3 years        
Gain Capital Holdings Inc | Customer base          
Purchase Price Allocation          
Identifiable intangible assets acquired   $ 9.8      
Acquired finite-lived intangible asset, weighted average useful life 4 years