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Revenue from Contracts with Clients - Revenue from Contracts with Clients (Details) - USD ($) $ in Millions | 3 Months Ended | 9 Months Ended
--- | --- | ---
Jun. 30, 2024 | Jun. 30, 2023 | Jun. 30, 2024 | Jun. 30, 2023
Disaggregation of Revenue [Line Items] |  |  |  |
Revenue from contract with customer | $ 571.8 | $ 980.7 | $ 1,708.4 | $ 2,844.9
Principal gains, net | 305.6 | 300.0 | 881.2 | 810.8
Interest income | 379.6 | 262.7 | 995.7 | 685.7
Total revenues | 27,069.7 | 15,047.9 | 68,748.8 | 44,220.5
Total operating revenues | 913.7 | 776.9 | 2,516.1 | 2,136.1
United States |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Total revenues | 1,400.2 | 1,428.9 | 4,411.4 | 4,463.6
Total operating revenues | 657.9 | 559.6 | 1,815.9 | 1,588.0
Europe |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Total revenues | 618.9 | 1,014.8 | 1,837.5 | 2,841.8
Total operating revenues | 162.5 | 145.1 | 459.2 | 352.1
South America |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Total revenues | 118.5 | 65.9 | 351.5 | 184.6
Total operating revenues | 43.5 | 34.3 | 109.9 | 97.8
Middle East and Asia |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Total revenues | 24,923.7 | 12,534.9 | 62,124.4 | 36,721.2
Total operating revenues | 41.4 | 34.4 | 107.1 | 88.9
Other |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Total revenues | 8.4 | 3.4 | 24.0 | 9.3
Total operating revenues | 8.4 | 3.5 | 24.0 | 9.3
Point-in-time |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Revenue from contract with customer | 528.3 | 941.9 | 1,587.7 | 2,729.2
Time elapsed |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Revenue from contract with customer | 43.5 | 38.8 | 120.7 | 115.7
Exchange-traded futures and options |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Revenue from contract with customer | 59.4 | 57.6 | 166.6 | 161.6
OTC derivative brokerage |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Revenue from contract with customer | 2.8 | 2.0 | 8.6 | 10.1
Equities and fixed income |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Revenue from contract with customer | 17.8 | 13.6 | 48.8 | 44.6
Mutual funds |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Revenue from contract with customer | 0.8 | 0.7 | 2.4 | 2.2
Insurance and annuity products |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Revenue from contract with customer | 2.4 | 2.0 | 8.1 | 6.5
Other |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Revenue from contract with customer | 0.0 | 2.0 | 0.1 | 4.2
Total sales-based commission |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Revenue from contract with customer | 83.2 | 77.9 | 234.6 | 229.2
Mutual funds |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Revenue from contract with customer | 3.2 | 3.1 | 9.4 | 9.2
Insurance and annuity products |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Revenue from contract with customer | 3.9 | 3.5 | 11.3 | 10.5
Total trailing commission |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Revenue from contract with customer | 7.1 | 6.6 | 20.7 | 19.7
Clearing fees |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Revenue from contract with customer | 47.2 | 38.6 | 135.9 | 114.6
Trade conversion fees |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Revenue from contract with customer | 3.3 | 1.7 | 10.8 | 6.1
Other |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Revenue from contract with customer | 2.2 | 2.0 | 6.9 | 5.9
Total commission and clearing fees |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Revenue from contract with customer | 143.0 | 126.8 | 408.9 | 375.5
Total revenues | 143.0 | 126.8 | 408.9 | 375.5
Underwriting fees |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Revenue from contract with customer | 0.1 | 0.2 | 0.2 | 0.5
Asset management fees |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Revenue from contract with customer | 13.3 | 11.5 | 37.0 | 33.3
Advisory and consulting fees |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Revenue from contract with customer | 12.4 | 8.4 | 29.6 | 26.1
Sweep program fees |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Revenue from contract with customer | 10.7 | 12.3 | 33.4 | 36.6
Client account fees |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Revenue from contract with customer | 4.6 | 4.0 | 13.1 | 11.5
Other |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Revenue from contract with customer | 4.2 | 2.8 | 10.7 | 11.7
Total consulting, management, and account fees |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Revenue from contract with customer | 45.3 | 39.2 | 124.0 | 119.7
Total revenues | 45.3 | 39.2 | 124.0 | 119.7
Precious metals sales under ASC Topic 606 |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Revenue from contract with customer | 383.5 | 814.7 | 1,175.5 | 2,349.7
Physical precious metals under ASC Topic 815 |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Sales of physical commodities | 25,030.2 | 12,513.4 | 62,259.7 | 36,695.5
Physical agricultural and energy products |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Sales of physical commodities | $ 782.5 | $ 991.1 | $ 2,903.8 | $ 3,183.6
Revenue from Contract with Customer Benchmark | Customer Concentration Risk | Clients |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |
Revenues from contracts with clients as a percentage of total revenues | 2.10% | 6.50% | 2.50% | 6.40%

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