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Revenue from Contracts with Clients - Revenue from Contracts with Clients (Details) - USD ($) $ in Millions | 3 Months Ended | 12 Months Ended
--- | --- | ---
Sep. 30, 2020 | Jun. 30, 2020 | Mar. 31, 2020 | Dec. 31, 2019 | Sep. 30, 2019 | Jun. 30, 2019 | Mar. 31, 2019 | Dec. 31, 2018 | Sep. 30, 2020 | Sep. 30, 2019 | Sep. 30, 2018
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Revenue from contract with customer |  |  |  |  |  |  |  |  | $ 487.3 | $ 452.0 | $ 462.9
Sales of physical commodities |  |  |  |  |  |  |  |  | 52,899.2 | 31,830.3 | 26,682.4
Principal gains, net |  |  |  |  |  |  |  |  | 622.2 | 415.8 | 354.1
Interest income |  |  |  |  |  |  |  |  | 130.9 | 198.9 | 123.3
Total revenues | $ 14,284.9 | $ 8,243.4 | $ 20,366.3 | $ 11,245.0 | $ 11,279.6 | $ 7,873.0 | $ 7,192.2 | $ 6,552.2 | 54,139.6 | 32,897.0 | 27,622.7
Point in Time [Member] |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Revenue from contract with customer |  |  |  |  |  |  |  |  | 396.1 | 362.7 | 379.7
Time Elapsed [Member] |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Revenue from contract with customer |  |  |  |  |  |  |  |  | 91.2 | 89.3 | 83.2
Exchange-Traded Futures and Options [Member] |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Revenue from contract with customer |  |  |  |  |  |  |  |  | 143.7 | 144.9 | 163.4
OTC Derivative Brokerage [Member] |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Revenue from contract with customer |  |  |  |  |  |  |  |  | 19.7 | 32.1 | 30.3
Equities and Fixed Income [Member] |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Revenue from contract with customer |  |  |  |  |  |  |  |  | 39.9 | 16.1 | 11.2
Mutual Fund Sales Based [Member] |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Revenue from contract with customer |  |  |  |  |  |  |  |  | 5.2 | 7.5 | 7.2
Insurance and Annuity Products [Member] |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Revenue from contract with customer |  |  |  |  |  |  |  |  | 8.4 | 7.3 | 5.8
Other [Member] |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Revenue from contract with customer |  |  |  |  |  |  |  |  | 1.4 | 1.3 | 0.9
Sales Based Commissions [Member] |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Revenue from contract with customer |  |  |  |  |  |  |  |  | 218.3 | 209.2 | 218.8
Mutual Fund [Member] |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Revenue from contract with customer |  |  |  |  |  |  |  |  | 12.9 | 12.4 | 13.2
Insurance Annuity Trailing [Member] |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Revenue from contract with customer |  |  |  |  |  |  |  |  | 15.3 | 14.4 | 14.6
Trailing Commissions [Member] |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Revenue from contract with customer |  |  |  |  |  |  |  |  | 28.2 | 26.8 | 27.8
Clearing Fees [Member] |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Revenue from contract with customer |  |  |  |  |  |  |  |  | 139.0 | 118.8 | 123.3
Trade Conversion Fees [Member] |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Revenue from contract with customer |  |  |  |  |  |  |  |  | 8.9 | 7.5 | 6.8
Other Commission and Clearing Fees [Member] |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Revenue from contract with customer |  |  |  |  |  |  |  |  | 9.2 | 10.1 | 15.1
Commission and Clearing Fees [Member] |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Revenue from contract with customer |  |  |  |  |  |  |  |  | 403.6 | 372.4 | 391.8
Underwriting Fees [Member] |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Revenue from contract with customer |  |  |  |  |  |  |  |  | 0.6 | 0.7 | 1.7
Asset Management Fees [Member] |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Revenue from contract with customer |  |  |  |  |  |  |  |  | 31.3 | 26.2 | 24.8
Advisory and Consulting Fees [Member] |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Revenue from contract with customer |  |  |  |  |  |  |  |  | 22.2 | 20.0 | 19.0
Sweep Program Fees [Member] |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Revenue from contract with customer |  |  |  |  |  |  |  |  | 9.5 | 16.3 | 11.6
Client Account Fees [Member] |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Revenue from contract with customer |  |  |  |  |  |  |  |  | 12.3 | 10.6 | 11.1
Other [Member] |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Revenue from contract with customer |  |  |  |  |  |  |  |  | 7.8 | 5.8 | 2.9
Consulting, Management, and Account Fees [Member] |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Revenue from contract with customer |  |  |  |  |  |  |  |  | 83.7 | 79.6 | 71.1
Precious Precious Metals Trading [Member] |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Sales of physical commodities |  |  |  |  |  |  |  |  | 51,598.5 | 30,694.5 | 25,762.9
Physical Agricultural and Energy Product trading [Member] |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Sales of physical commodities |  |  |  |  |  |  |  |  | $ 1,300.7 | $ 1,135.8 | $ 919.5

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