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Condensed Consolidated Income Statements (Unaudited) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended
Jun. 30, 2024
Jun. 30, 2023
Jun. 30, 2024
Jun. 30, 2023
Revenues:        
Total revenues $ 27,069.7 $ 15,047.9 $ 68,748.8 $ 44,220.5
Cost of sales of physical commodities 26,156.0 14,271.0 66,232.7 42,084.4
Operating revenues 913.7 776.9 2,516.1 2,136.1
Transaction-based clearing expenses 81.0 66.7 233.8 203.2
Introducing broker commissions 43.1 43.4 124.2 122.4
Interest expense 297.0 216.0 792.2 549.0
Interest expense on corporate funding 24.1 14.9 53.5 44.2
Net operating revenues 468.5 435.9 1,312.4 1,217.3
Compensation and other expenses:        
Compensation and benefits 257.5 226.6 710.0 658.1
Trading systems and market information 20.1 19.4 58.2 54.9
Professional fees 20.0 13.9 55.0 41.1
Non-trading technology and support 18.7 13.7 53.6 44.7
Occupancy and equipment rental 13.5 10.0 34.8 29.5
Selling and marketing 12.8 13.7 40.1 40.8
Travel and business development 6.9 6.2 21.1 17.7
Communications 1.9 2.4 6.4 6.7
Depreciation and amortization 12.3 13.8 35.8 39.6
Bad debts (recoveries), net 0.5 6.3 (0.2) 10.0
Other 18.1 15.4 50.3 50.1
Total compensation and other expenses 382.3 341.4 1,065.1 993.2
Gain on acquisition and other gains 1.8 0.0 8.7 23.5
Income before tax 88.0 94.5 256.0 247.6
Income tax expense 26.1 25.0 71.9 59.8
Net income $ 61.9 $ 69.5 $ 184.1 $ 187.8
Earnings per share:        
Basic (in dollars per share) $ 1.95 $ 2.24 $ 5.83 $ 6.09
Diluted (in dollars per share) $ 1.88 $ 2.17 $ 5.64 $ 5.88
Weighted-average number of common shares outstanding:        
Basic (in shares) 30,643,270 30,060,251 30,449,286 29,870,136
Diluted (in shares) 31,743,032 30,981,451 31,487,370 30,867,473
Sales of physical commodities        
Revenues:        
Total revenues $ 26,196.2 $ 14,319.2 $ 66,339.0 $ 42,228.8
Principal gains, net        
Revenues:        
Total revenues 305.6 300.0 881.2 810.8
Commission and clearing fees        
Revenues:        
Total revenues 143.0 126.8 408.9 375.5
Consulting, management, and account fees        
Revenues:        
Total revenues 45.3 39.2 124.0 119.7
Interest income        
Revenues:        
Total revenues $ 379.6 $ 262.7 $ 995.7 $ 685.7