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Assets and Liabilities, at Fair Value - Details of Level 3 Assets and Liabilities (Details) - USD ($)
$ in Millions
Jun. 30, 2018
Sep. 30, 2017
Payables to Broker-Dealers and Clearing Organizations $ 130.8 $ 125.7
Assets 7,284.9 6,243.4
Fair Value, Measurements, Recurring [Member]    
Receivables from Clearing Organizations 716.4 204.7
Assets, Fair Value Disclosure 3,510.1 2,068.0
Fair Value, Measurements, Recurring [Member] | US Government Debt Securities [Member]    
Receivables from Clearing Organizations   244.7
Fair Value, Measurements, Recurring [Member] | Derivative [Member]    
Payables to Broker-Dealers and Clearing Organizations   55.2
Counterparty And Cash Collateral Netting Adjustment [Member] | Fair Value, Measurements, Recurring [Member]    
Receivables from Clearing Organizations (6,116.1) (2,952.9)
Assets, Fair Value Disclosure $ (7,356.1) (4,344.2)
Counterparty And Cash Collateral Netting Adjustment [Member] | Fair Value, Measurements, Recurring [Member] | US Government Debt Securities [Member]    
Receivables from Clearing Organizations   0.0
Counterparty And Cash Collateral Netting Adjustment [Member] | Fair Value, Measurements, Recurring [Member] | Collateralized Mortgage Backed Securities [Member]    
Receivables from Clearing Organizations   0.0
Counterparty And Cash Collateral Netting Adjustment [Member] | Fair Value, Measurements, Recurring [Member] | Foreign Government Debt Securities [Member]    
Receivables from Clearing Organizations   0.0
Counterparty And Cash Collateral Netting Adjustment [Member] | Fair Value, Measurements, Recurring [Member] | Derivative [Member]    
Receivables from Clearing Organizations   $ (2,952.9)