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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 |

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