Fair Value Disclosures - Schedule of Assets and Liabilities Measured on Recurring Basis at Fair Value (Details) - USD ($)
$ in Thousands
May 31, 2022
Nov. 30, 2021
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV $ 18,942,955 $ 18,802,730
Counterparty and cash collateral netting, assets (2,728,569) (3,305,756)
Loans to and investments in associated companies 16,590 30,842
Securities received as collateral, at fair value 1,322 7,289
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 13,665,037 11,699,467
Counterparty and cash collateral netting, liabilities (2,884,689) (3,702,200)
Other secured financings 2,362 102,788
Long-term debt 1,617,020 1,843,598
Obligation to return securities received as collateral, at fair value 1,322 7,289
Fair value measured at NAV    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Alternative investments 1,305,000 1,025,940
Level 1    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 7,487,807 6,686,065
Loans to and investments in associated companies 0 0
Securities received as collateral, at fair value 1,322 7,289
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 6,647,808 5,066,732
Other secured financings 0 0
Long-term debt 0 0
Obligation to return securities received as collateral, at fair value 1,322 7,289
Level 2    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 13,443,983 14,843,376
Loans to and investments in associated companies 1,795 0
Securities received as collateral, at fair value 0 0
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 9,777,184 10,235,821
Other secured financings 0 76,883
Long-term debt 877,667 961,866
Obligation to return securities received as collateral, at fair value 0 0
Level 3    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 739,734 579,045
Loans to and investments in associated companies 14,795 30,842
Securities received as collateral, at fair value 0 0
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 124,734 99,114
Other secured financings 2,362 25,905
Long-term debt 739,353 881,732
Obligation to return securities received as collateral, at fair value 0 0
Corporate equity securities    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 4,225,424 3,082,220
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 1,838,161 1,695,985
Obligation to return securities received as collateral, at fair value 1,322 7,289
Corporate equity securities | Level 1    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 3,867,049 2,737,255
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 1,801,924 1,671,696
Corporate equity securities | Level 2    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 157,414 257,318
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 32,488 19,654
Corporate equity securities | Level 3    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 200,961 87,647
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 3,749 4,635
Corporate debt securities    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 3,252,318 3,848,144
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 2,309,216 2,112,259
Obligation to return securities received as collateral, at fair value 0 0
Corporate debt securities | Level 1    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 0 0
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 0 0
Corporate debt securities | Level 2    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 3,231,505 3,836,341
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 2,308,815 2,111,777
Corporate debt securities | Level 3    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 20,813 11,803
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 401 482
Collateralized debt obligations and collateralized loan obligations    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 373,485 611,464
Collateralized debt obligations and collateralized loan obligations | Level 1    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 0 0
Collateralized debt obligations and collateralized loan obligations | Level 2    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 323,627 579,518
Collateralized debt obligations and collateralized loan obligations | Level 3    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 49,858 31,946
U.S. government and federal agency securities    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 2,582,240 3,114,079
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 3,471,943 2,457,420
U.S. government and federal agency securities | Level 1    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 2,549,972 3,045,295
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 3,471,943 2,457,420
U.S. government and federal agency securities | Level 2    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 32,268 68,784
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 0 0
U.S. government and federal agency securities | Level 3    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 0 0
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 0 0
Municipal securities    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 630,483 509,559
Liabilities:    
Obligation to return securities received as collateral, at fair value 0 0
Municipal securities | Level 1    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 0 0
Municipal securities | Level 2    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 630,483 509,559
Municipal securities | Level 3    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 0 0
Sovereign obligations    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 2,062,466 1,553,285
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 2,273,876 1,528,841
Obligation to return securities received as collateral, at fair value 0 0
Sovereign obligations | Level 1    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 1,061,291 899,086
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 1,371,769 935,801
Sovereign obligations | Level 2    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 1,001,175 654,199
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 902,107 593,040
Sovereign obligations | Level 3    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 0 0
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 0 0
Residential mortgage-backed securities    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 1,592,879 1,169,723
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 1,010 719
Residential mortgage-backed securities | Level 1    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 0 0
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 0 0
Residential mortgage-backed securities | Level 2    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 1,591,820 1,168,246
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 1,010 719
Residential mortgage-backed securities | Level 3    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 1,059 1,477
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 0 0
Commercial mortgage-backed securities    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 345,614 198,752
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 385 210
Commercial mortgage-backed securities | Level 1    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 0 0
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 0 0
Commercial mortgage-backed securities | Level 2    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 343,744 196,419
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 0 0
Commercial mortgage-backed securities | Level 3    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 1,870 2,333
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 385 210
Other asset-backed securities    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 287,287 430,546
Other asset-backed securities | Level 1    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 0 0
Other asset-backed securities | Level 2    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 202,509 337,022
Other asset-backed securities | Level 3    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 84,778 93,524
Loans and other receivables    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 2,962,624 3,498,289
Liabilities:    
Obligation to return securities received as collateral, at fair value 0 0
Loans and other receivables | Level 1    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 0 0
Loans and other receivables | Level 2    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 2,824,872 3,363,050
Loans and other receivables | Level 3    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 137,752 135,239
Derivatives, assets    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 408,100 570,472
Derivatives, assets | Level 1    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 9,495 4,429
Derivatives, assets | Level 2    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 3,100,255 3,861,551
Derivatives, assets | Level 3    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 26,919 10,248
Investments at fair value    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 168,155 165,742
Investments at fair value | Level 1    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 0 0
Investments at fair value | Level 2    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 4,311 11,369
Investments at fair value | Level 3    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 163,844 154,373
FXCM term loan    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 51,880 50,455
FXCM term loan | Level 1    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 0 0
FXCM term loan | Level 2    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 0 0
FXCM term loan | Level 3    
Assets:    
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV 51,880 50,455
Loans    
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 2,484,257 2,491,857
Loans | Level 1    
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 0 0
Loans | Level 2    
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 2,465,974 2,476,087
Loans | Level 3    
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 18,283 15,770
Derivatives, liabilities    
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 1,286,189 1,412,176
Derivatives, liabilities | Level 1    
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 2,172 1,815
Derivatives, liabilities | Level 2    
Liabilities:    
Financial instruments sold, not yet purchased, at fair value 4,066,790 5,034,544
Derivatives, liabilities | Level 3    
Liabilities:    
Financial instruments sold, not yet purchased, at fair value $ 101,916 $ 78,017