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Segment and Geographic Information - Schedule of Segment Certain Revenues and Significant Expense Categories (Details) - USD ($)
$ in Millions
 12 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2023
Segment Reporting Information [Line Items]      
Non-interest revenues $ 130,643.9 $ 98,491.0 $ 59,868.5
Interest income 1,734.3 1,396.8 987.6
Total revenues 132,378.2 99,887.8 60,856.1
Cost of sales of physical commodities 128,251.3 96,451.6 57,942.0
Operating revenues 4,126.9 3,436.2 2,914.1
Transaction-based clearing expenses 382.2 319.3 271.8
Introducing broker commissions 211.4 166.2 161.6
Total interest expense 1,480.5 1,183.5 859.7
Net operating revenues 2,052.8 1,767.2 1,621.0
Variable compensation and benefits 607.1 506.5 483.2
Net contribution 1,445.7 1,260.7 1,137.8
Fixed compensation and benefits 500.6 435.9 385.4
Trading systems and market information 83.1 79.1 74.0
Professional fees 86.3 69.7 57.0
Non-trading technology and support 87.3 73.4 61.6
Selling and marketing 50.5 52.6 54.0
Travel and business development 33.0 28.4 24.8
Depreciation and amortization 67.5 53.1 51.0
Bad debts, net of recoveries 3.1 0.6 16.5
Shared services 0.0 0.0 0.0
Other fixed expenses 131.0 122.6 115.9
Non-variable expenses 1,042.4 915.4 840.2
Other gains (losses), net 5.5 8.8 25.4
Income before tax 408.8 354.1 323.0
Total assets 45,268.0 27,466.3 21,938.7
Corporate      
Segment Reporting Information [Line Items]      
Non-interest revenues 22.2 5.5 6.1
Interest income 42.2 41.4 25.6
Total revenues 64.4 46.9 31.7
Cost of sales of physical commodities 0.0 0.0 0.0
Operating revenues 64.4 46.9 31.7
Transaction-based clearing expenses 5.8 2.9 2.3
Introducing broker commissions 0.0 0.0 0.0
Total interest expense 115.2 108.7 92.3
Net operating revenues (56.6) (64.7) (62.9)
Variable compensation and benefits 83.1 76.2 72.9
Net contribution (139.7) (140.9) (135.8)
Fixed compensation and benefits 276.1 217.1 180.5
Trading systems and market information 17.0 19.3 18.1
Professional fees 47.9 31.9 26.4
Non-trading technology and support 71.0 56.7 43.8
Selling and marketing 7.4 7.9 4.4
Travel and business development 12.1 9.0 6.0
Depreciation and amortization 29.5 24.2 22.7
Bad debts, net of recoveries 0.0 0.0 0.0
Shared services (66.8) (58.0) (52.2)
Other fixed expenses 85.0 82.5 78.3
Non-variable expenses 479.2 390.6 328.0
Other gains (losses), net 0.0 0.0 23.3
Income before tax (618.9) (531.5) (440.5)
Total assets 997.5 1,123.5 812.3
Eliminations      
Segment Reporting Information [Line Items]      
Non-interest revenues (3.2) (2.5) (2.1)
Interest income (58.0) (46.8) (37.4)
Total revenues (61.2) (49.3) (39.5)
Cost of sales of physical commodities 0.0 0.0 0.0
Operating revenues (61.2) (49.3) (39.5)
Transaction-based clearing expenses (3.2) (2.5) (2.1)
Introducing broker commissions 0.0 0.0 0.0
Total interest expense (58.0) (46.8) (37.4)
Net operating revenues 0.0 0.0 0.0
Variable compensation and benefits 0.0 0.0 0.0
Net contribution 0.0 0.0 0.0
Fixed compensation and benefits 0.0 0.0 0.0
Trading systems and market information 0.0 0.0 0.0
Professional fees 0.0 0.0 0.0
Non-trading technology and support 0.0 0.0 0.0
Selling and marketing 0.0 0.0 0.0
Travel and business development 0.0 0.0 0.0
Depreciation and amortization 0.0 0.0 0.0
Bad debts, net of recoveries 0.0 0.0 0.0
Shared services 0.0 0.0 0.0
Other fixed expenses 0.0 0.0 0.0
Non-variable expenses 0.0 0.0 0.0
Other gains (losses), net 0.0 0.0 0.0
Income before tax 0.0 0.0 0.0
Total assets 0.0 0.0 0.0
Commercial | Operating Segments      
Segment Reporting Information [Line Items]      
Non-interest revenues 129,048.4 97,146.8 58,662.2
Interest income 208.8 182.1 154.5
Total revenues 129,257.2 97,328.9 58,816.7
Cost of sales of physical commodities 128,251.3 96,451.6 57,942.0
Operating revenues 1,005.9 877.3 874.7
Transaction-based clearing expenses 83.2 70.3 60.7
Introducing broker commissions 70.6 44.3 40.2
Total interest expense 83.4 41.8 41.0
Net operating revenues 768.7 720.9 732.8
Variable compensation and benefits 192.9 174.5 177.2
Net contribution 575.8 546.4 555.6
Fixed compensation and benefits 77.6 68.9 61.4
Trading systems and market information 17.3 15.7 13.9
Professional fees 8.0 7.6 6.2
Non-trading technology and support 2.0 1.8 3.1
Selling and marketing 5.0 5.5 4.9
Travel and business development 9.2 8.3 7.1
Depreciation and amortization 10.3 6.2 4.3
Bad debts, net of recoveries 1.6 0.2 15.7
Shared services 32.2 28.7 24.0
Other fixed expenses 18.1 19.2 14.8
Non-variable expenses 181.3 162.1 155.4
Other gains (losses), net 1.0 6.9 0.0
Income before tax 395.5 391.2 400.2
Total assets 9,826.3 5,383.9 4,707.2
Institutional | Operating Segments      
Segment Reporting Information [Line Items]      
Non-interest revenues 991.1 782.1 700.9
Interest income 1,507.4 1,180.0 812.7
Total revenues 2,498.5 1,962.1 1,513.6
Cost of sales of physical commodities 0.0 0.0 0.0
Operating revenues 2,498.5 1,962.1 1,513.6
Transaction-based clearing expenses 275.7 228.0 187.9
Introducing broker commissions 33.6 31.2 35.4
Total interest expense 1,332.3 1,072.5 758.3
Net operating revenues 856.9 630.4 532.0
Variable compensation and benefits 281.5 200.1 180.5
Net contribution 575.4 430.3 351.5
Fixed compensation and benefits 87.5 77.1 59.7
Trading systems and market information 34.6 30.0 27.7
Professional fees 15.7 20.1 13.3
Non-trading technology and support 3.9 3.3 5.1
Selling and marketing 3.4 3.5 2.3
Travel and business development 8.7 7.5 6.5
Depreciation and amortization 7.2 3.9 3.5
Bad debts, net of recoveries 0.0 (1.3) (1.5)
Shared services 16.1 13.6 10.5
Other fixed expenses 11.8 6.6 8.6
Non-variable expenses 188.9 164.3 135.7
Other gains (losses), net (0.7) 0.0 2.1
Income before tax 385.8 266.0 217.9
Total assets 32,465.5 19,492.9 15,059.3
Self-Directed/Retail | Operating Segments      
Segment Reporting Information [Line Items]      
Non-interest revenues 373.2 351.8 290.5
Interest income 32.3 37.8 30.5
Total revenues 405.5 389.6 321.0
Cost of sales of physical commodities 0.0 0.0 0.0
Operating revenues 405.5 389.6 321.0
Transaction-based clearing expenses 13.3 13.6 16.2
Introducing broker commissions 103.0 87.8 83.7
Total interest expense 7.6 7.1 5.3
Net operating revenues 281.6 281.1 215.8
Variable compensation and benefits 15.1 18.7 13.8
Net contribution 266.5 262.4 202.0
Fixed compensation and benefits 33.5 44.2 47.2
Trading systems and market information 13.1 12.7 13.0
Professional fees 11.5 9.1 9.9
Non-trading technology and support 8.6 9.8 7.9
Selling and marketing 34.2 35.2 41.3
Travel and business development 1.9 2.5 3.4
Depreciation and amortization 15.8 15.5 19.7
Bad debts, net of recoveries 1.5 0.5 2.3
Shared services 9.7 7.9 10.6
Other fixed expenses 12.6 11.1 10.4
Non-variable expenses 142.4 148.5 165.7
Other gains (losses), net 5.5 1.9 0.0
Income before tax 129.6 115.8 36.3
Total assets 1,256.2 1,027.2 983.3
Payments | Operating Segments      
Segment Reporting Information [Line Items]      
Non-interest revenues 212.2 207.3 210.9
Interest income 1.6 2.3 1.7
Total revenues 213.8 209.6 212.6
Cost of sales of physical commodities 0.0 0.0 0.0
Operating revenues 213.8 209.6 212.6
Transaction-based clearing expenses 7.4 7.0 6.8
Introducing broker commissions 4.2 2.9 2.3
Total interest expense 0.0 0.2 0.2
Net operating revenues 202.2 199.5 203.3
Variable compensation and benefits 34.5 37.0 38.8
Net contribution 167.7 162.5 164.5
Fixed compensation and benefits 25.9 28.6 36.6
Trading systems and market information 1.1 1.4 1.3
Professional fees 3.2 1.0 1.2
Non-trading technology and support 1.8 1.8 1.7
Selling and marketing 0.5 0.5 1.1
Travel and business development 1.1 1.1 1.8
Depreciation and amortization 4.7 3.3 0.8
Bad debts, net of recoveries 0.0 1.2 0.0
Shared services 8.8 7.8 7.1
Other fixed expenses 3.5 3.2 3.8
Non-variable expenses 50.6 49.9 55.4
Other gains (losses), net (0.3) 0.0 0.0
Income before tax 116.8 112.6 109.1
Total assets $ 722.5 $ 438.8 $ 376.6