Fair Value Disclosures - Quantitative Information about Significant Unobservable Inputs Used in Level 3 Fair Value Measurements (Details) $ in Thousands	3 Months Ended	12 Months Ended
	Feb. 28, 2022 USD ($)	Nov. 30, 2021 USD ($)	Feb. 28, 2022 $ / shares	Feb. 28, 2022 $ / Bond	Feb. 28, 2022	Feb. 28, 2022 € / shares	Nov. 30, 2021 $ / shares	Nov. 30, 2021 $ / Bond	Nov. 30, 2021	Nov. 30, 2021 € / Bond
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	$ 20,157,760	$ 18,323,915
Financial instruments sold, not yet purchased	14,682,727	11,690,795
Other secured financings	158,008	102,788
Long-term debt	1,762,163	1,843,598
Corporate debt securities
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	3,668,098	3,848,106
Financial instruments sold, not yet purchased	2,412,771	2,112,259
CDOs and CLOs
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	915,724	611,462
CMBS
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	185,367	198,752
Financial instruments sold, not yet purchased	315	210
Other ABS
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	686,957	430,546
Loans and other receivables
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	3,566,792	3,437,635
Corporate equity securities
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	3,359,272	2,843,016
Financial instruments sold, not yet purchased	2,051,435	1,695,985
Loans
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments sold, not yet purchased	2,498,321	2,491,857
Level 3
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	539,966	336,553
Financial instruments sold, not yet purchased	86,903	99,114
Long-term debt	794,460	881,732
Level 3 | Market approach and scenario analysis
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Other secured financings	32,377
Level 3 | Scenario analysis
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Other secured financings		25,905
Level 3 | Volatility benchmarking and market approach
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Derivative assets	4,762	6,501
Derivative liability	56,329	76,533
Level 3 | Non-exchange-traded securities | Market approach
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	107,769	75,694
Level 3 | Non-exchange-traded securities | Market approach | Price | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / shares			0				1
Level 3 | Non-exchange-traded securities | Market approach | Price | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / shares			344				366
Level 3 | Non-exchange-traded securities | Market approach | Price | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / shares			141				208
Level 3 | Corporate debt securities
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	42,358	11,803
Financial instruments sold, not yet purchased	7,308	482
Level 3 | Corporate debt securities | Market approach
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	42,358	11,803
Level 3 | Corporate debt securities | Market approach | Price
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / Bond								13
Level 3 | Corporate debt securities | Market approach | Price | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / Bond				13
Level 3 | Corporate debt securities | Market approach | Price | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / Bond				100				100
Level 3 | Corporate debt securities | Market approach | Price | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / Bond				91				86
Level 3 | Corporate debt securities | Market approach | EBITDA multiple
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input					3.4
Level 3 | CDOs and CLOs
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	45,219	31,944
Level 3 | CDOs and CLOs | Market approach | Price | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / Bond				73				86
Level 3 | CDOs and CLOs | Market approach | Price | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / Bond				102				103
Level 3 | CDOs and CLOs | Market approach | Price | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / Bond				93				93
Level 3 | CDOs and CLOs | Discounted cash flows | Constant prepayment rate
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input					0.20				0.20
Level 3 | CDOs and CLOs | Discounted cash flows | Constant default rate
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input					0.02				0.02
Level 3 | CDOs and CLOs | Discounted cash flows | Loss severity | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input					0.25				0.25
Level 3 | CDOs and CLOs | Discounted cash flows | Loss severity | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input					0.70				0.30
Level 3 | CDOs and CLOs | Discounted cash flows | Loss severity | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input					0.38				0.26
Level 3 | CDOs and CLOs | Discounted cash flows | Discount rate/yield | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input					0.04				0.08
Level 3 | CDOs and CLOs | Discounted cash flows | Discount rate/yield | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input					0.18				0.19
Level 3 | CDOs and CLOs | Discounted cash flows | Discount rate/yield | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input					0.13				0.16
Level 3 | CDOs and CLOs | Discounted cash flows and market approach
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	45,219	31,944
Level 3 | CMBS
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	3,732	2,333
Financial instruments sold, not yet purchased	315	210
Level 3 | CMBS | Market approach and scenario analysis
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	3,732
Level 3 | CMBS | Market approach | Price
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / Bond				600
Level 3 | CMBS | Scenario analysis
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned		2,333
Level 3 | CMBS | Scenario analysis | Estimated recovery percentage
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input					0.81				0.81
Level 3 | Other ABS
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	$ 62,382	$ 93,524
Level 3 | Other ABS | Market approach | Price
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / Bond				37				37
Level 3 | Other ABS | Market approach | Price | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / Bond								100
Level 3 | Other ABS | Market approach | Price | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / Bond								94
Level 3 | Other ABS | Discounted cash flows | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input									0.60
Financial instruments owned, measurement input, term	1 year 2 months 12 days	8 months 12 days
Level 3 | Other ABS | Discounted cash flows | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input									0.85
Financial instruments owned, measurement input, term	7 years	1 year 4 months 24 days
Level 3 | Other ABS | Discounted cash flows | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input									0.55
Financial instruments owned, measurement input, term	5 years	1 year 1 month 6 days
Level 3 | Other ABS | Discounted cash flows | Constant prepayment rate | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input					0				0
Level 3 | Other ABS | Discounted cash flows | Constant prepayment rate | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input					0.09				0.35
Level 3 | Other ABS | Discounted cash flows | Constant prepayment rate | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input					0.04				0.31
Level 3 | Other ABS | Discounted cash flows | Constant default rate
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input					0.02
Level 3 | Other ABS | Discounted cash flows | Constant default rate | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input									0.02
Level 3 | Other ABS | Discounted cash flows | Constant default rate | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input									0.04
Level 3 | Other ABS | Discounted cash flows | Constant default rate | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input									0.04
Level 3 | Other ABS | Discounted cash flows | Loss severity | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input					0.50
Level 3 | Other ABS | Discounted cash flows | Loss severity | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input					0.88
Level 3 | Other ABS | Discounted cash flows | Loss severity | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input					0.72
Level 3 | Other ABS | Discounted cash flows | Discount rate/yield | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input					0.01				0.03
Level 3 | Other ABS | Discounted cash flows | Discount rate/yield | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input					0.23				0.16
Level 3 | Other ABS | Discounted cash flows | Discount rate/yield | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input					0.15				0.10
Level 3 | Other ABS | Discounted cash flows | Cumulative loss rate | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input					0.08				0.07
Level 3 | Other ABS | Discounted cash flows | Cumulative loss rate | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input					0.18				0.20
Level 3 | Other ABS | Discounted cash flows | Cumulative loss rate | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input					0.14				0.14
Level 3 | Other ABS | Discounted cash flows and market approach
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	$ 46,733	$ 86,099
Level 3 | Loans and other receivables
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	137,942	74,585
Level 3 | Loans and other receivables | Market approach and scenario analysis
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	136,716	73,361
Level 3 | Loans and other receivables | Market approach | Price | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / Bond				29				31
Level 3 | Loans and other receivables | Market approach | Price | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / Bond				102				101
Level 3 | Loans and other receivables | Market approach | Price | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / Bond				89				54
Level 3 | Loans and other receivables | Scenario analysis | Estimated recovery percentage | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input					0.05				0.09
Level 3 | Loans and other receivables | Scenario analysis | Estimated recovery percentage | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input					0.94				1
Level 3 | Loans and other receivables | Scenario analysis | Estimated recovery percentage | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input					0.33				0.42
Level 3 | Equity options | Volatility benchmarking | Volatility
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Derivative asset, measurement input					0.41				0.46
Level 3 | Equity options | Volatility benchmarking | Volatility | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Derivative liability, measurement input					0.30				0.26
Level 3 | Equity options | Volatility benchmarking | Volatility | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Derivative liability, measurement input					0.57				0.77
Level 3 | Equity options | Volatility benchmarking | Volatility | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Derivative liability, measurement input					0.45				0.40
Level 3 | Interest rate swaps | Market approach | Basis points upfront | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Derivative asset, measurement input					0.0				0.1
Derivative liability, measurement input					0.7				0.1
Level 3 | Interest rate swaps | Market approach | Basis points upfront | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Derivative asset, measurement input					8.7				8.7
Derivative liability, measurement input					17.5				8.7
Level 3 | Interest rate swaps | Market approach | Basis points upfront | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Derivative asset, measurement input					4.4				3.3
Derivative liability, measurement input					8.8				3.1
Level 3 | Total return swaps | Market approach | Price
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Derivative asset, measurement input | $ / Bond								100
Derivative liability, measurement input | $ / Bond								100
Level 3 | Total return swaps | Volatility benchmarking and market approach | Price
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Derivative asset, measurement input | $ / Bond				101
Derivative liability, measurement input | $ / Bond				101
Level 3 | Private equity securities | Market approach and scenario analysis
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned		34,557
Level 3 | Private equity securities | Market approach
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	113,164
Level 3 | Private equity securities | Market approach | Price | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / shares			1				1
Level 3 | Private equity securities | Market approach | Price | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / shares			15,852				152
Level 3 | Private equity securities | Market approach | Price | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / shares			549				48
Level 3 | Private equity securities | Scenario analysis | Estimated recovery percentage
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input									0.07
Level 3 | Corporate equity securities
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	108,156	76,082
Financial instruments sold, not yet purchased	5,666	4,635
Level 3 | Corporate equity securities | Market approach
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments sold, not yet purchased	5,666	4,635
Level 3 | Corporate equity securities | Market approach | Price
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments sold, not yet purchased, measurement input | $ / shares			1				1
Level 3 | Loans
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments sold, not yet purchased	11,541	15,770
Level 3 | Loans | Market approach and scenario analysis
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Debt instrument	11,541
Level 3 | Loans | Market approach
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Debt instrument		15,770
Level 3 | Loans | Market approach | Price
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Debt instrument, measurement input | $ / Bond				98
Level 3 | Loans | Market approach | Price | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Debt instrument, measurement input | $ / Bond								31
Level 3 | Loans | Market approach | Price | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Debt instrument, measurement input | $ / Bond								100
Level 3 | Loans | Market approach | Price | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Debt instrument, measurement input | $ / Bond								43
Level 3 | Loans | Scenario analysis | Estimated recovery percentage
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Debt instrument, measurement input					0.05				0.50
Level 3 | Other secured financings | Market approach | Price
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Other secured financings, measurement input | $ / Bond				87
Level 3 | Other secured financings | Scenario analysis | Estimated recovery percentage | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Other secured financings, measurement input					0.13				0.13
Level 3 | Other secured financings | Scenario analysis | Estimated recovery percentage | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Other secured financings, measurement input					0.36				0.98
Level 3 | Other secured financings | Scenario analysis | Estimated recovery percentage | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Other secured financings, measurement input					0.29				0.92
Level 3 | Long-term debt | Market approach
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Long-term debt	$ 794,460	$ 881,732
Level 3 | Long-term debt | Market approach | Price
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Long-term debt, measurement input | $ / Bond								76
Level 3 | Long-term debt | Market approach | Price | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Long-term debt, measurement input				66		73				81
Level 3 | Long-term debt | Market approach | Price | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Long-term debt, measurement input				106		106		115		113
Level 3 | Long-term debt | Market approach | Price | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Long-term debt, measurement input				83		93		94		103