Fair Value Disclosures - Financial Assets and Liabilities Accounted for at Fair Value on Recurring Basis (Details) - USD ($) $ in Thousands	May 31, 2022	Nov. 30, 2021
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Alternative investment	$ 1,305,000	$ 1,012,322
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	18,645,875	18,323,915
Counterparty and Cash Collateral Netting	(2,728,416)	(3,304,566)
Securities received as collateral	1,322	7,289
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	13,614,475	11,690,795
Counterparty and Cash Collateral Netting	(2,884,536)	(3,701,010)
Other secured financings	2,362	102,788
Obligation to return securities received as collateral	1,322	7,289
Long-term debt	1,617,020	1,843,598
Corporate equity securities
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	4,025,800	2,843,016
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	1,838,161	1,695,985
Corporate debt securities
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	3,252,267	3,848,106
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	2,309,216	2,112,259
Collateralized debt obligations and collateralized loan obligations
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	373,485	611,462
U.S. government and federal agency securities
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	2,582,240	3,114,079
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	3,471,943	2,457,420
Municipal securities
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	630,483	509,559
Sovereign obligations
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	2,062,466	1,553,285
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	2,273,876	1,528,841
Residential mortgage-backed securities
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	1,592,879	1,169,723
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	1,010	719
Commercial mortgage-backed securities
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	345,614	198,752
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	385	210
Other asset-backed securities
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	287,287	430,546
Loans and other receivables
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	2,962,624	3,437,635
Derivative assets
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	408,100	568,959
Investments at fair value
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	122,630	38,793
Loans
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	2,484,257	2,491,857
Derivative liabilities
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	1,235,627	1,403,504
Fair value based on net asset value
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Alternative investment	1,310,000	1,010,000
Level 1
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	7,347,396	6,516,500
Securities received as collateral	1,322	7,289
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	6,647,808	5,066,732
Other secured financings	0	0
Obligation to return securities received as collateral	1,322	7,289
Long-term debt	0	0
Level 1 | Corporate equity securities
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	3,726,638	2,567,690
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	1,801,924	1,671,696
Level 1 | Corporate debt securities
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	0	0
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	0	0
Level 1 | Collateralized debt obligations and collateralized loan obligations
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	0	0
Level 1 | U.S. government and federal agency securities
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	2,549,972	3,045,295
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	3,471,943	2,457,420
Level 1 | Municipal securities
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	0	0
Level 1 | Sovereign obligations
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	1,061,291	899,086
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	1,371,769	935,801
Level 1 | Residential mortgage-backed securities
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	0	0
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	0	0
Level 1 | Commercial mortgage-backed securities
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	0	0
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	0	0
Level 1 | Other asset-backed securities
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	0	0
Level 1 | Loans and other receivables
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	0	0
Level 1 | Derivative assets
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	9,495	4,429
Level 1 | Investments at fair value
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	0	0
Level 1 | Loans
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	0	0
Level 1 | Derivative liabilities
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	2,172	1,815
Level 2
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	13,386,059	14,775,428
Securities received as collateral	0	0
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	9,726,469	10,225,959
Other secured financings	0	76,883
Obligation to return securities received as collateral	0	0
Long-term debt	877,667	961,866
Level 2 | Corporate equity securities
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	99,694	199,244
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	32,488	19,654
Level 2 | Corporate debt securities
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	3,231,454	3,836,303
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	2,308,815	2,111,777
Level 2 | Collateralized debt obligations and collateralized loan obligations
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	323,627	579,518
Level 2 | U.S. government and federal agency securities
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	32,268	68,784
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	0	0
Level 2 | Municipal securities
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	630,483	509,559
Level 2 | Sovereign obligations
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	1,001,175	654,199
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	902,107	593,040
Level 2 | Residential mortgage-backed securities
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	1,591,820	1,168,246
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	1,010	719
Level 2 | Commercial mortgage-backed securities
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	343,744	196,419
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	0	0
Level 2 | Other asset-backed securities
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	202,509	337,022
Level 2 | Loans and other receivables
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	2,824,872	3,363,050
Level 2 | Derivative assets
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	3,100,102	3,858,848
Level 2 | Investments at fair value
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	4,311	4,236
Level 2 | Loans
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	2,465,974	2,476,087
Level 2 | Derivative liabilities
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	4,016,075	5,024,682
Level 3
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	640,836	336,553
Securities received as collateral	0	0
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	124,734	99,114
Other secured financings	2,362	25,905
Obligation to return securities received as collateral	0	0
Long-term debt	739,353	881,732
Level 3 | Corporate equity securities
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	199,468	76,082
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	3,749	4,635
Level 3 | Corporate debt securities
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	20,813	11,803
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	401	482
Level 3 | Collateralized debt obligations and collateralized loan obligations
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	49,858	31,944
Level 3 | U.S. government and federal agency securities
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	0	0
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	0	0
Level 3 | Municipal securities
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	0	0
Level 3 | Sovereign obligations
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	0	0
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	0	0
Level 3 | Residential mortgage-backed securities
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	1,059	1,477
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	0	0
Level 3 | Commercial mortgage-backed securities
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	1,870	2,333
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	385	210
Level 3 | Other asset-backed securities
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	84,778	93,524
Level 3 | Loans and other receivables
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	137,752	74,585
Level 3 | Derivative assets
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	26,919	10,248
Level 3 | Investments at fair value
Financial instruments owned:
Total financial instruments owned, excluding Investments at fair value based on NAV	118,319	34,557
Level 3 | Loans
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	18,283	15,770
Level 3 | Derivative liabilities
Financial instruments sold, not yet purchased:
Total financial instruments sold, not yet purchased	$ 101,916	$ 78,017