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Fair Value Measurements - Fair Value Measurements (Details) - Fair Value, Recurring [Member] - USD ($)
$ in Thousands
Feb. 28, 2025
Aug. 31, 2024
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Securities Segregated under Other Regulations $ 150,335 $ 151,327
Deposits, Fair Value Disclosure   500,921
Other assets 249,626 83,008
Total assets 595,888 915,220
Foreign exchange derivatives   24,476
Total liabilities 209,486 249,060
Quoted Prices in Active Markets for Identical Assets (Level 1)    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Securities Segregated under Other Regulations 15,001 15,069
Deposits, Fair Value Disclosure   0
Other assets 249,626 83,008
Total assets 267,079 100,531
Foreign exchange derivatives   0
Total liabilities 558 1,641
Significant Other Observable Inputs (Level 2)    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Securities Segregated under Other Regulations 135,334 136,258
Deposits, Fair Value Disclosure   500,921
Other assets 0 0
Total assets 328,809 814,689
Foreign exchange derivatives   24,476
Total liabilities 208,928 247,419
Fair Value, Inputs, Level 3 [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Securities Segregated under Other Regulations 0 0
Deposits, Fair Value Disclosure   0
Other assets 0 0
Total assets 0 0
Foreign exchange derivatives   0
Total liabilities 0 0
Commodity derivatives    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivative Asset 175,949 170,935
Derivative Liability 178,755 224,584
Commodity derivatives | Quoted Prices in Active Markets for Identical Assets (Level 1)    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivative Asset 2,452 2,454
Derivative Liability 558 1,641
Commodity derivatives | Significant Other Observable Inputs (Level 2)    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivative Asset 173,497 168,481
Derivative Liability 178,197 222,943
Commodity derivatives | Fair Value, Inputs, Level 3 [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivative Asset 0 0
Derivative Liability 0 0
Foreign exchange derivatives    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Foreign exchange derivatives 19,978 9,029
Foreign exchange derivatives 30,731  
Foreign exchange derivatives | Quoted Prices in Active Markets for Identical Assets (Level 1)    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Foreign exchange derivatives 0 0
Foreign exchange derivatives 0  
Foreign exchange derivatives | Significant Other Observable Inputs (Level 2)    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Foreign exchange derivatives 19,978 9,029
Foreign exchange derivatives 30,731  
Foreign exchange derivatives | Fair Value, Inputs, Level 3 [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Foreign exchange derivatives 0 $ 0
Foreign exchange derivatives $ 0