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Financial Instruments with Off-Balance Sheet Risk and Concentrations of Credit Risk - Gross Derivative Assets and Liabilities by Type and Balance Sheet Location (Details) contract in Millions, $ in Millions | Mar. 31, 2023 USD ($) contract | Sep. 30, 2022 USD ($) contract
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Derivatives, Fair Value [Line Items] |  |
Derivative asset, fair value, gross asset | $ 9,275.0 | $ 9,657.2
Derivative liability, fair value, gross liability | 9,133.7 | 9,552.4
Impact of netting and collateral asset | (8,496.6) | (10,920.8)
Impact of netting and collateral liability | $ (8,181.9) | $ (10,505.0)
Derivative, number of instruments held | contract | 16.4 | 13.3
Deposits and Receivables from Exchange Clearing Organizations |  |
Derivatives, Fair Value [Line Items] |  |
Derivative, fair value, net | $ 486.0 | $ (1,455.7)
Receivable From Clients, Net |  |
Derivatives, Fair Value [Line Items] |  |
Derivative, fair value, net | 2.3 | (0.5)
Financial Instruments Owned |  |
Derivatives, Fair Value [Line Items] |  |
Derivative, fair value, net | 290.1 | 192.6
Payables to Clients |  |
Derivatives, Fair Value [Line Items] |  |
Derivative, fair value, net | 669.5 | (1,392.4)
Payables to Broker-dealers, Clearing Organizations and Counterparties |  |
Derivatives, Fair Value [Line Items] |  |
Derivative, fair value, net | 34.1 | 55.8
Financial Instrument Sold, Not Yet Purchased |  |
Derivatives, Fair Value [Line Items] |  |
Derivative, fair value, net | 248.2 | 384.0
Not Designated as Hedging Instrument |  |
Derivatives, Fair Value [Line Items] |  |
Derivative asset, fair value, gross asset | 9,270.3 | 9,657.2
Derivative liability, fair value, gross liability | 9,095.2 | 9,481.8
Designated as Hedging Instrument |  |
Derivatives, Fair Value [Line Items] |  |
Derivative asset, fair value, gross asset | 4.7 | 0.0
Derivative liability, fair value, gross liability | 38.5 | 70.6
Exchange-traded commodity derivatives | Not Designated as Hedging Instrument |  |
Derivatives, Fair Value [Line Items] |  |
Derivative asset, fair value, gross asset | 2,052.1 | 4,520.4
Derivative liability, fair value, gross liability | 2,040.6 | 4,519.3
OTC commodity derivatives | Not Designated as Hedging Instrument |  |
Derivatives, Fair Value [Line Items] |  |
Derivative asset, fair value, gross asset | 1,476.1 | 756.9
Derivative liability, fair value, gross liability | 1,395.6 | 695.6
Exchange-traded foreign exchange derivatives | Not Designated as Hedging Instrument |  |
Derivatives, Fair Value [Line Items] |  |
Derivative asset, fair value, gross asset | 213.0 | 25.6
Derivative liability, fair value, gross liability | 213.0 | 25.7
OTC foreign exchange derivatives | Not Designated as Hedging Instrument |  |
Derivatives, Fair Value [Line Items] |  |
Derivative asset, fair value, gross asset | 762.5 | 577.1
Derivative liability, fair value, gross liability | 716.0 | 549.3
Exchange-traded interest rate derivatives | Not Designated as Hedging Instrument |  |
Derivatives, Fair Value [Line Items] |  |
Derivative asset, fair value, gross asset | 2,097.1 | 2,626.8
Derivative liability, fair value, gross liability | 2,099.7 | 2,626.7
OTC interest rate derivatives | Not Designated as Hedging Instrument |  |
Derivatives, Fair Value [Line Items] |  |
Derivative asset, fair value, gross asset | 287.3 | 168.9
Derivative liability, fair value, gross liability | 287.3 | 205.1
OTC interest rate derivatives | Designated as Hedging Instrument |  |
Derivatives, Fair Value [Line Items] |  |
Derivative asset, fair value, gross asset | 1.8 | 0.0
Derivative liability, fair value, gross liability | 38.4 | 48.8
Exchange-traded equity index derivatives | Not Designated as Hedging Instrument |  |
Derivatives, Fair Value [Line Items] |  |
Derivative asset, fair value, gross asset | 2,194.3 | 609.5
Derivative liability, fair value, gross liability | 2,194.3 | 609.5
OTC equity and indices derivatives | Not Designated as Hedging Instrument |  |
Derivatives, Fair Value [Line Items] |  |
Derivative asset, fair value, gross asset | 132.5 | 164.4
Derivative liability, fair value, gross liability | 76.2 | 95.7
TBA and forward settling securities | Not Designated as Hedging Instrument |  |
Derivatives, Fair Value [Line Items] |  |
Derivative asset, fair value, gross asset | 55.4 | 207.6
Derivative liability, fair value, gross liability | 72.5 | 154.9
Foreign currency forward contracts | Designated as Hedging Instrument |  |
Derivatives, Fair Value [Line Items] |  |
Derivative asset, fair value, gross asset | 2.9 | 0.0
Derivative liability, fair value, gross liability | $ 0.1 | $ 21.8

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