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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