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Derivative Financial Instruments - Fair Value and Related Number of Derivative Contracts Categorized by Type of Derivative Contract (Details) $ in Thousands | Aug. 31, 2025 USD ($) Contract | Nov. 30, 2024 USD ($) Contract
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Derivatives, Fair Value [Line Items] |  |
Derivative Asset, Statement of Financial Position [Extensible Enumeration] | Financial instruments owned | Financial instruments owned
Derivative Liability, Statement of Financial Position [Extensible Enumeration] | Financial instruments sold, not yet purchased, at fair value | Financial instruments sold, not yet purchased, at fair value
Net amounts per consolidated statements of financial condition, assets | $ 1,732,485 | $ 517,775
Net amounts per consolidated statements of financial condition, liabilities | 1,253,276 | 710,314
Exchange-traded |  |
Derivatives, Fair Value [Line Items] |  |
Fair value, assets | 2,603,904 | 682,622
Fair value, liabilities | 2,037,322 | 521,919
Amounts offset in the consolidated statements of financial condition, assets | (1,445,932) | (476,364)
Amounts offset in the consolidated statements of financial condition, liabilities | (1,445,932) | (476,364)
Cleared OTC |  |
Derivatives, Fair Value [Line Items] |  |
Fair value, assets | 510,639 | 1,065,726
Fair value, liabilities | 535,340 | 1,069,382
Amounts offset in the consolidated statements of financial condition, assets | (509,365) | (1,058,995)
Amounts offset in the consolidated statements of financial condition, liabilities | (517,824) | (1,066,232)
Bilateral OTC |  |
Derivatives, Fair Value [Line Items] |  |
Fair value, assets | 1,410,682 | 1,437,178
Fair value, liabilities | 1,831,823 | 1,912,726
Amounts offset in the consolidated statements of financial condition, assets | (837,443) | (1,132,392)
Amounts offset in the consolidated statements of financial condition, liabilities | (1,187,453) | (1,251,117)
Derivatives designated as accounting hedges: |  |
Derivatives, Fair Value [Line Items] |  |
Fair value, assets | 1,903 | 45,299
Fair value, liabilities | 62,860 | 0
Derivatives designated as accounting hedges: | Interest rate contracts: | Cleared OTC |  |
Derivatives, Fair Value [Line Items] |  |
Fair value, assets | $ 57 | $ 3,396
Number of contracts, assets | Contract | 1 | 3
Fair value, liabilities | $ 1,131 | $ 0
Number of contracts, liabilities | Contract | 3 | 0
Derivatives designated as accounting hedges: | Foreign exchange contracts: | Bilateral OTC |  |
Derivatives, Fair Value [Line Items] |  |
Fair value, assets | $ 1,846 | $ 41,903
Number of contracts, assets | Contract | 8 | 3
Fair value, liabilities | $ 61,729 | $ 0
Number of contracts, liabilities | Contract | 4 | 0
Derivatives not designated as accounting hedges: |  |
Derivatives, Fair Value [Line Items] |  |
Fair value, assets | $ 4,523,322 | $ 3,140,227
Fair value, liabilities | 4,341,625 | 3,504,027
Derivatives not designated as accounting hedges: | Interest rate contracts: | Exchange-traded |  |
Derivatives, Fair Value [Line Items] |  |
Fair value, assets | $ 562 | $ 273
Number of contracts, assets | Contract | 16,529 | 16,548
Fair value, liabilities | $ 113 | $ 13
Number of contracts, liabilities | Contract | 17,235 | 32,984
Derivatives not designated as accounting hedges: | Interest rate contracts: | Cleared OTC |  |
Derivatives, Fair Value [Line Items] |  |
Fair value, assets | $ 508,861 | $ 1,030,842
Number of contracts, assets | Contract | 7,592 | 6,663
Fair value, liabilities | $ 523,997 | $ 1,030,671
Number of contracts, liabilities | Contract | 8,060 | 6,891
Derivatives not designated as accounting hedges: | Interest rate contracts: | Bilateral OTC |  |
Derivatives, Fair Value [Line Items] |  |
Fair value, assets | $ 316,345 | $ 365,678
Number of contracts, assets | Contract | 1,850 | 1,096
Fair value, liabilities | $ 630,797 | $ 717,255
Number of contracts, liabilities | Contract | 744 | 1,256
Derivatives not designated as accounting hedges: | Foreign exchange contracts: | Exchange-traded |  |
Derivatives, Fair Value [Line Items] |  |
Fair value, assets | $ 215 |
Number of contracts, assets | Contract | 80 |
Fair value, liabilities | $ 76 |
Number of contracts, liabilities | Contract | 120 |
Derivatives not designated as accounting hedges: | Foreign exchange contracts: | Bilateral OTC |  |
Derivatives, Fair Value [Line Items] |  |
Fair value, assets | $ 106,449 | $ 132,240
Number of contracts, assets | Contract | 42,732 | 57,786
Fair value, liabilities | $ 84,671 | $ 138,608
Number of contracts, liabilities | Contract | 13,109 | 35,545
Derivatives not designated as accounting hedges: | Equity contracts: | Exchange-traded |  |
Derivatives, Fair Value [Line Items] |  |
Fair value, assets | $ 2,602,854 | $ 682,327
Number of contracts, assets | Contract | 3,463,187 | 1,777,822
Fair value, liabilities | $ 2,037,083 | $ 521,889
Number of contracts, liabilities | Contract | 2,161,112 | 1,574,498
Derivatives not designated as accounting hedges: | Equity contracts: | Bilateral OTC |  |
Derivatives, Fair Value [Line Items] |  |
Fair value, assets | $ 918,891 | $ 855,169
Number of contracts, assets | Contract | 44,140 | 33,516
Fair value, liabilities | $ 1,008,462 | $ 1,024,129
Number of contracts, liabilities | Contract | 34,433 | 20,587
Derivatives not designated as accounting hedges: | Commodity contracts: | Exchange-traded |  |
Derivatives, Fair Value [Line Items] |  |
Fair value, assets | $ 273 | $ 22
Number of contracts, assets | Contract | 622 | 806
Fair value, liabilities | $ 50 | $ 17
Number of contracts, liabilities | Contract | 530 | 697
Derivatives not designated as accounting hedges: | Commodity contracts: | Bilateral OTC |  |
Derivatives, Fair Value [Line Items] |  |
Fair value, assets | $ 4,606 | $ 4,570
Number of contracts, assets | Contract | 11,850 | 11,691
Fair value, liabilities | $ 3,127 | $ 1,381
Number of contracts, liabilities | Contract | 5,642 | 5,180
Derivatives not designated as accounting hedges: | Credit contracts: | Cleared OTC |  |
Derivatives, Fair Value [Line Items] |  |
Fair value, assets | $ 1,721 | $ 31,488
Number of contracts, assets | Contract | 51 | 66
Fair value, liabilities | $ 10,212 | $ 38,711
Number of contracts, liabilities | Contract | 6 | 32
Derivatives not designated as accounting hedges: | Credit contracts: | Bilateral OTC |  |
Derivatives, Fair Value [Line Items] |  |
Fair value, assets | $ 62,545 | $ 37,618
Number of contracts, assets | Contract | 14 | 16
Fair value, liabilities | $ 43,037 | $ 31,353
Number of contracts, liabilities | Contract | 19 | 32

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