Fair Value Disclosures - Quantitative Information about Significant Unobservable Inputs Used in Level 3 Fair Value Measurements (Details) $ in Thousands	6 Months Ended	12 Months Ended
	May 31, 2022 USD ($)	Nov. 30, 2021 USD ($)	May 31, 2022 $ / shares	May 31, 2022 $ / Bond	May 31, 2022	May 31, 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	$ 18,645,875	$ 18,323,915
Financial instruments sold, not yet purchased	13,614,475	11,690,795
Other secured financings	2,362	102,788
Long-term debt	1,617,020	1,843,598
Corporate debt securities
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	3,252,267	3,848,106
Financial instruments sold, not yet purchased	2,309,216	2,112,259
CDOs and CLOs
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	373,485	611,462
CMBS
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	345,614	198,752
Financial instruments sold, not yet purchased	385	210
Other ABS
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	287,287	430,546
Loans and other receivables
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	2,962,624	3,437,635
Corporate equity securities
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	4,025,800	2,843,016
Financial instruments sold, not yet purchased	1,838,161	1,695,985
Loans
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments sold, not yet purchased	2,484,257	2,491,857
Level 3
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	640,836	336,553
Financial instruments sold, not yet purchased	124,734	99,114
Long-term debt	739,353	881,732
Level 3 | Market approach and scenario analysis
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Other secured financings	2,362
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	18,755	6,501
Derivative liability	97,612	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	199,468	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			1				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			366				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			80				208
Level 3 | Corporate debt securities
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	20,813	11,803
Financial instruments sold, not yet purchased	401	482
Level 3 | Corporate debt securities | Market approach
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	20,813	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				23
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
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								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					3.3
Level 3 | Corporate debt securities | Scenario analysis | Estimated recovery percentage
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input					0.06
Level 3 | CDOs and CLOs
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	49,858	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				69				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				92				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
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input					0.70
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
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									0.30
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									0.26
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					0.10				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					0.22				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					0.19				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	49,858	31,944
Level 3 | CMBS
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	1,870	2,333
Financial instruments sold, not yet purchased	385	210
Level 3 | CMBS | Market approach and scenario analysis
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	1,870
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	$ 84,778	$ 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
Level 3 | Other ABS | Market approach | Price | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / Bond								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	9 months 18 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	1 year 7 months 6 days	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	1 year 3 months 18 days	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
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									0.35
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									0.31
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
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 | Discount rate/yield | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input					0.05				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					0.17				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					0.12				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					0.05				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					0.21				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					0.17				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	$ 66,623	$ 86,099
Level 3 | Loans and other receivables
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	137,752	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	137,752	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				7				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				136				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				108				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					0.35				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					0.53				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					0.29				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					0.63				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					0.49				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					2.8				0.1
Derivative liability, measurement input					2.8				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					11.1				8.7
Derivative liability, measurement input					11.1				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					6.7				3.3
Derivative liability, measurement input					6.7				3.1
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	118,319
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			548				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	199,468	76,082
Financial instruments sold, not yet purchased	3,749	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	3,749	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	18,283	15,770
Level 3 | Loans | Market approach and scenario analysis
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Debt instrument	18,283
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				91
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 | 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 liability, measurement input | $ / Bond				99
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	$ 739,353	$ 881,732
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				52		60		76		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				108		102		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				75		80		94		103