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Revenue from Contracts with Clients - Revenue from Contracts with Clients (Details) - USD ($) $ in Millions | 3 Months Ended
--- | ---
Dec. 31, 2023 | Dec. 31, 2022
Disaggregation of Revenue [Line Items] |  |
Revenue from contract with customer | $ 627.4 | $ 946.4
Principal gains, net | 293.8 | 254.2
Interest income | 290.1 | 196.2
Revenues | 19,573.0 | 13,011.6
Total operating revenues | 784.2 | 654.8
United States |  |
Disaggregation of Revenue [Line Items] |  |
Revenues | 1,603.5 | 1,563.6
Total operating revenues | 568.0 | 489.9
Europe |  |
Disaggregation of Revenue [Line Items] |  |
Revenues | 658.4 | 915.0
Total operating revenues | 135.6 | 101.5
South America |  |
Disaggregation of Revenue [Line Items] |  |
Revenues | 128.0 | 62.2
Total operating revenues | 41.2 | 31.5
Middle East and Asia |  |
Disaggregation of Revenue [Line Items] |  |
Revenues | 17,175.6 | 10,466.3
Total operating revenues | 32.0 | 27.4
Other |  |
Disaggregation of Revenue [Line Items] |  |
Revenues | 7.5 | 4.5
Total operating revenues | 7.4 | 4.5
Point-in-time |  |
Disaggregation of Revenue [Line Items] |  |
Revenue from contract with customer | 589.7 | 909.1
Time elapsed |  |
Disaggregation of Revenue [Line Items] |  |
Revenue from contract with customer | 37.7 | 37.3
Exchange-traded futures and options |  |
Disaggregation of Revenue [Line Items] |  |
Revenue from contract with customer | 51.4 | 48.7
OTC derivative brokerage |  |
Disaggregation of Revenue [Line Items] |  |
Revenue from contract with customer | 2.8 | 3.6
Equities and fixed income |  |
Disaggregation of Revenue [Line Items] |  |
Revenue from contract with customer | 16.5 | 15.4
Mutual funds |  |
Disaggregation of Revenue [Line Items] |  |
Revenue from contract with customer | 0.7 | 0.6
Insurance and annuity products |  |
Disaggregation of Revenue [Line Items] |  |
Revenue from contract with customer | 2.0 | 1.8
Other |  |
Disaggregation of Revenue [Line Items] |  |
Revenue from contract with customer | (0.1) | 1.1
Total sales-based commission |  |
Disaggregation of Revenue [Line Items] |  |
Revenue from contract with customer | 73.3 | 71.2
Mutual funds |  |
Disaggregation of Revenue [Line Items] |  |
Revenue from contract with customer | 3.0 | 3.0
Insurance and annuity products |  |
Disaggregation of Revenue [Line Items] |  |
Revenue from contract with customer | 3.7 | 3.5
Total trailing commission |  |
Disaggregation of Revenue [Line Items] |  |
Revenue from contract with customer | 6.7 | 6.5
Clearing fees |  |
Disaggregation of Revenue [Line Items] |  |
Revenue from contract with customer | 43.3 | 36.0
Trade conversion fees |  |
Disaggregation of Revenue [Line Items] |  |
Revenue from contract with customer | 4.0 | 2.4
Other |  |
Disaggregation of Revenue [Line Items] |  |
Revenue from contract with customer | 2.4 | 1.9
Total commission and clearing fees |  |
Disaggregation of Revenue [Line Items] |  |
Revenue from contract with customer | 129.7 | 118.0
Revenues | 129.7 | 118.0
Underwriting fees |  |
Disaggregation of Revenue [Line Items] |  |
Revenue from contract with customer | 0.0 | 0.2
Asset management fees |  |
Disaggregation of Revenue [Line Items] |  |
Revenue from contract with customer | 11.4 | 10.7
Advisory and consulting fees |  |
Disaggregation of Revenue [Line Items] |  |
Revenue from contract with customer | 8.2 | 8.7
Sweep program fees |  |
Disaggregation of Revenue [Line Items] |  |
Revenue from contract with customer | 11.4 | 11.4
Client account fees |  |
Disaggregation of Revenue [Line Items] |  |
Revenue from contract with customer | 4.2 | 3.8
Other |  |
Disaggregation of Revenue [Line Items] |  |
Revenue from contract with customer | 3.3 | 5.0
Total consulting, management, and account fees |  |
Disaggregation of Revenue [Line Items] |  |
Revenue from contract with customer | 38.5 | 39.8
Revenues | 38.5 | 39.8
Precious metals sales under ASC Topic 606 |  |
Disaggregation of Revenue [Line Items] |  |
Revenue from contract with customer | 459.2 | 788.6
Physical precious metals under ASC Topic 815 |  |
Disaggregation of Revenue [Line Items] |  |
Sales of physical commodities | 17,162.5 | 10,479.0
Physical agricultural and energy products |  |
Disaggregation of Revenue [Line Items] |  |
Sales of physical commodities | $ 1,199.2 | $ 1,135.8
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 | 3.20% | 7.30%

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