Fair Value Disclosures - Quantitative Information about Significant Unobservable Inputs Used in Level 3 Fair Value Measurements (Details)	3 Months Ended	12 Months Ended
	Aug. 31, 2024 USD ($)	Nov. 30, 2023 USD ($)	Aug. 31, 2024 $ / shares	Aug. 31, 2024	Aug. 31, 2024 € / shares	Aug. 31, 2024 poundSterlingPerShare	Nov. 30, 2023 $ / shares	Nov. 30, 2023	Nov. 30, 2023 € / shares
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	$ 22,834,279,000	$ 20,538,090,000
Financial instruments sold, not yet purchased, at fair value	12,307,086,000	11,251,154,000
Other secured financings	3,965,000	3,898,000
Long-term debt	2,122,890,000	1,708,443,000
Corporate debt securities
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	5,431,152,000	4,947,334,000
Financial instruments sold, not yet purchased, at fair value	3,527,010,000	2,842,900,000
CDOs and CLOs
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	711,036,000	934,108,000
Financial instruments sold, not yet purchased, at fair value		36,000
Commercial mortgage-backed securities
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	264,773,000	345,410,000
Financial instruments sold, not yet purchased, at fair value	1,119,000	840,000
Other ABS
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	298,077,000	372,709,000
Loans and other receivables
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	1,917,569,000	1,450,318,000
Investments at fair value
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	139,386,000	130,835,000
Loans
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments sold, not yet purchased, at fair value	101,093,000	175,349,000
Corporate equity securities
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	5,618,358,000	4,224,174,000
Financial instruments sold, not yet purchased, at fair value	3,813,044,000	2,318,905,000
Level 3
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	693,354,000	680,580,000
Financial instruments sold, not yet purchased, at fair value	40,732,000	62,452,000
Derivative liability	33,608,000	56,779,000
Other secured financings	3,965,000	3,898,000
Long-term debt	789,146,000	744,597,000
Level 3 | Non-exchange-traded securities
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	200,643,000	181,294,000
Level 3 | Non-exchange-traded securities | Price | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / shares			0				0
Level 3 | Non-exchange-traded securities | Price | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / shares			325				325
Level 3 | Non-exchange-traded securities | Price | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / shares			56				59
Level 3 | Non-exchange-traded securities | EBITDA multiple | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / shares			5.4
Level 3 | Corporate debt securities
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	31,178,000	26,112,000
Financial instruments sold, not yet purchased, at fair value	260,000	124,000
Derivative liability		124,000
Level 3 | Corporate debt securities | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / shares							40
Level 3 | Corporate debt securities | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / shares							94
Level 3 | Corporate debt securities | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / shares							50
Level 3 | Corporate debt securities | Price
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / shares			0
Level 3 | Corporate debt securities | Price | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / shares			95
Level 3 | Corporate debt securities | Price | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / shares			58
Level 3 | Corporate debt securities | Estimated recovery percentage
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input								0.04
Financial instruments sold, not yet purchased, measurement input								0.04
Level 3 | Corporate debt securities | Discount rate/yield
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input								0.11
Level 3 | CDOs and CLOs
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	82,081,000	64,862,000
Financial instruments sold, not yet purchased, at fair value		0
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	77,965,000
Level 3 | CDOs and CLOs | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input				0.15
Level 3 | CDOs and CLOs | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input				0.20
Level 3 | CDOs and CLOs | Price | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / shares			70				48
Level 3 | CDOs and CLOs | Price | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / shares			110				100
Level 3 | CDOs and CLOs | Price | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / shares			96				88
Level 3 | CDOs and CLOs | Constant prepayment rate | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input								0.15
Level 3 | CDOs and CLOs | Constant prepayment rate | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input								0.20
Level 3 | CDOs and CLOs | Constant prepayment rate | Weighted Average
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 | Constant default rate
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input				0.02
Level 3 | CDOs and CLOs | 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 | CDOs and CLOs | Discount rate/yield | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input				0.13				0.21
Level 3 | CDOs and CLOs | Discount rate/yield | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input				0.20				0.26
Level 3 | CDOs and CLOs | Discount rate/yield | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input				0.18				0.24
Level 3 | CDOs and CLOs | Loss severity
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input				0.30
Level 3 | CDOs and CLOs | Loss severity | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input								0.35
Level 3 | CDOs and CLOs | Loss severity | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input								0.40
Level 3 | CDOs and CLOs | Loss severity | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input								0.36
Level 3 | Commercial mortgage-backed securities
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	492,000	508,000
Financial instruments sold, not yet purchased, at fair value	1,119,000	840,000
Level 3 | Commercial mortgage-backed securities | Estimated recovery percentage
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input								0.28
Level 3 | Other ABS
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	145,403,000	117,661,000
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		$ 102,423,000
Level 3 | Other ABS | Discounted cash flows, market approach, scenario analysis
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	$ 137,548,000
Level 3 | Other ABS | Price
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input	100	100
Level 3 | Other ABS | Estimated recovery percentage
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input				0.92
Level 3 | Other ABS | Discount rate/yield | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input				0.18				0.10
Level 3 | Other ABS | Discount rate/yield | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input				0.21				0.21
Level 3 | Other ABS | Discount rate/yield | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input				0.19				0.18
Level 3 | Other ABS | Cumulative loss rate
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input				0.28
Level 3 | Other ABS | Cumulative loss rate | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input								0.09
Level 3 | Other ABS | Cumulative loss rate | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input				0.33				0.32
Level 3 | Other ABS | Cumulative loss rate | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input				0.30				0.25
Level 3 | Other ABS | Duration (years) | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input, term	1 year 1 month 6 days	1 year 1 month 6 days
Level 3 | Other ABS | Duration (years) | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input, term	1 year 9 months 18 days	2 years 2 months 12 days
Level 3 | Other ABS | Duration (years) | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input, term	1 year 7 months 6 days	1 year 8 months 12 days
Level 3 | Loans and other receivables
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	$ 87,124,000	$ 130,101,000
Level 3 | Loans and other receivables | Price | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / shares			81				82
Level 3 | Loans and other receivables | Price | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / shares			100				157
Level 3 | Loans and other receivables | Price | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / shares			97				127
Level 3 | Loans and other receivables | Estimated recovery percentage | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input				0.02				0.07
Level 3 | Loans and other receivables | Estimated recovery percentage | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input				1.98				0.73
Level 3 | Loans and other receivables | Estimated recovery percentage | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input				0.67				0.40
Level 3 | Embedded options | Volatility | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Derivative asset, measurement input								0.60
Level 3 | Embedded options | Basis points upfront | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Derivative liability, measurement input				0.00082				0.00004
Level 3 | Embedded options | Basis points upfront | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Derivative liability, measurement input				0.00218				0.00255
Level 3 | Embedded options | Basis points upfront | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Derivative liability, measurement input				0.00149				0.00179
Level 3 | Investments at fair value
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	139,380,000	130,835,000
Level 3 | Investments at fair value | Market approach
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	$ 134,284,000	$ 127,237,000
Level 3 | Private equity securities | Price
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input					8,040	0.5
Level 3 | Private equity securities | 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 | Price | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / shares			5,000				6,819
Level 3 | Private equity securities | Price | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input | $ / shares			360				484
Level 3 | Private equity securities | Discount rate/yield
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input				0.28
Level 3 | Private equity securities | Discount rate/yield | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input								0.28
Level 3 | Private equity securities | Revenue
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input	30,067,142
Level 3 | Private equity securities | Revenue | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned, measurement input		30,538,979
Level 3 | Loans
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments sold, not yet purchased, at fair value	$ 1,560,000	$ 1,521,000
Derivative liability		$ 1,521,000
Level 3 | Loans | Price
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments sold, not yet purchased, measurement input		101
Level 3 | Equity options
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Derivative liability		$ 2,395,000
Level 3 | Equity options | Volatility | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Derivative liability, measurement input				0.33				0.31
Level 3 | Equity options | Volatility | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Derivative liability, measurement input				0.57				0.87
Level 3 | Equity options | Volatility | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Derivative liability, measurement input				0.47				0.42
Level 3 | Other secured financings | Estimated recovery percentage | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Other secured financings, measurement input				0.60				0.18
Level 3 | Other secured financings | Estimated recovery percentage | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Other secured financings, measurement input				1				0.73
Level 3 | Other secured financings | Estimated recovery percentage | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Other secured financings, measurement input				0.93				0.53
Level 3 | Long-term debt
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Long-term debt	789,146,000	744,597,000
Level 3 | Long-term debt | Price | Minimum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Long-term debt, measurement input			62		65		57		60
Level 3 | Long-term debt | Price | Maximum
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Long-term debt, measurement input			100		106		114		103
Level 3 | Long-term debt | Price | Weighted Average
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Long-term debt, measurement input			81		87		78		84
Level 3 | Corporate equity securities
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments owned	200,643,000	181,294,000
Financial instruments sold, not yet purchased, at fair value	2,970,000	$ 676,000
Derivative liability	$ 2,970,000
Level 3 | Corporate equity securities | EBITDA multiple
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Financial instruments sold, not yet purchased, measurement input | $ / shares			5.4