Fair Value Disclosures - Quantitative Information about Significant Unobservable Inputs Used in Level 3 Fair Value Measurements (Details) $ in Thousands	9 Months Ended	12 Months Ended
	Aug. 31, 2022 USD ($)	Nov. 30, 2021 USD ($)	Aug. 31, 2022 $ / shares	Aug. 31, 2022 $ / Bond	Aug. 31, 2022	Aug. 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	$ 18,701,525	$ 18,323,915
Financial instruments sold, not yet purchased	11,533,058	11,690,795
Other secured financings	2,362	102,788
Long-term debt	1,517,410	1,843,598
Corporate debt securities
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	3,282,618	3,848,106
Financial instruments sold, not yet purchased	1,940,891	2,112,259
CDOs and CLOs
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	490,369	611,462
Financial instruments sold, not yet purchased	682
CMBS
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	332,614	198,752
Financial instruments sold, not yet purchased	4,255	210
Other ABS
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	317,633	430,546
Loans and other receivables
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	2,629,578	3,437,635
Corporate equity securities
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	3,558,413	2,843,016
Financial instruments sold, not yet purchased	1,833,675	1,695,985
Loans
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments sold, not yet purchased	2,222,560	2,491,857
Level 3
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	685,500	336,553
Financial instruments sold, not yet purchased	104,932	99,114
Long-term debt	721,115	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	8,440	6,501
Derivative liability	82,721	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	195,766	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			81				208
Level 3 | Corporate debt securities
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	18,212	11,803
Financial instruments sold, not yet purchased	427	482
Level 3 | Corporate debt securities | Market approach
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	18,212	11,803
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 | $ / Bond				3.8
Level 3 | Corporate debt securities | Scenario analysis
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments sold, not yet purchased	427
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
Debt instrument, measurement input					0.06
Level 3 | CDOs and CLOs
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	49,928	31,944
Financial instruments sold, not yet purchased	354
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				87				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					0.20				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					0.20				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	49,928	31,944
Level 3 | CMBS
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	31,610	2,333
Financial instruments sold, not yet purchased	455	210
Level 3 | CMBS | Market approach and scenario analysis
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	31,610
Level 3 | CMBS | Market approach | Spreads (basis points (“bps”)) | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / Bond				322
Level 3 | CMBS | Market approach | Spreads (basis points (“bps”)) | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / Bond				334
Level 3 | CMBS | Market approach | Spreads (basis points (“bps”)) | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / Bond				326
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
Level 3 | Other ABS
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	$ 91,493	$ 93,524
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				32				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				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				97				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	10 months 24 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 2 months 12 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					0.85
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					0.07				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					0.21				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					0.07				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					0.24				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					0.19				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	$ 75,439	$ 86,099
Level 3 | Loans and other receivables
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	117,594	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	117,594	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				45				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				154				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				118				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					0.32				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					1				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					0.97				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									0.46
Level 3 | Equity options | Volatility benchmarking | Volatility | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Derivative asset, measurement input					0.23
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 asset, measurement input					0.52
Derivative liability, measurement input					0.68				0.77
Level 3 | Equity options | Volatility benchmarking | Volatility | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Derivative asset, measurement input					0.41
Derivative liability, measurement input					0.50				0.40
Level 3 | Interest rate swaps | Market approach | Spreads (basis points (“bps”)) | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Derivative asset, measurement input									0.1
Derivative liability, measurement input									0.1
Level 3 | Interest rate swaps | Market approach | Spreads (basis points (“bps”)) | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Derivative asset, measurement input									8.7
Derivative liability, measurement input									8.7
Level 3 | Interest rate swaps | Market approach | Spreads (basis points (“bps”)) | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Derivative asset, measurement input									3.3
Derivative liability, measurement input									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	139,220
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			0				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			14,919				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			487				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	195,766	76,082
Financial instruments sold, not yet purchased	2,570	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	2,570	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	12,694	15,770
Level 3 | Loans | Market approach and scenario analysis
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Debt instrument	12,694
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 | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Debt instrument, measurement input | $ / Bond				90				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				96				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				92				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 | 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					0.39				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					0.30				0.92
Level 3 | Long-term debt | Market approach
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Long-term debt	$ 721,115	$ 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				51		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				104		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				72		78		94		103