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Fair Value Disclosures - Quantitative Information about Significant Unobservable Inputs Used in Level 3 Fair Value Measurements (Details)
3 Months Ended 12 Months Ended
Feb. 28, 2025
USD ($)
$ / shares
Nov. 30, 2024
USD ($)
$ / shares
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Derivative liability | $ $ 678,464,000 $ 710,314,000
Other secured financings | $ 22,231,000 24,848,000
Long-term debt | $ 3,075,403,000 2,351,346,000
Level 3    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Derivative liability | $ 45,281,000 25,045,000
Other secured financings | $ 12,705,000 14,884,000
Long-term debt | $ 860,684,000 821,903,000
Level 3 | Non-exchange-traded securities    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Financial instruments owned | $ $ 212,409,000 $ 239,364,000
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 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 486 486
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 83 68
Level 3 | Non-exchange-traded securities | EBITDA multiple    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Financial instruments owned, measurement input 4.6  
Level 3 | Corporate debt securities    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Financial instruments owned | $ $ 25,925,000 $ 24,931,000
Level 3 | Corporate debt securities | Price | Minimum    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Financial instruments owned, measurement input 49 28
Level 3 | Corporate debt securities | Price | Maximum    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Financial instruments owned, measurement input 117 105
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 71 74
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 0.22  
Level 3 | CDOs and CLOs    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Financial instruments owned | $ $ 57,986,000 $ 53,388,000
Level 3 | CDOs and CLOs | Price | Minimum    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Financial instruments owned, measurement input 70 70
Level 3 | CDOs and CLOs | Price | Maximum    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Financial instruments owned, measurement input 104 106
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 98 94
Level 3 | CDOs and CLOs | 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 | 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 | Loss severity    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Financial instruments owned, measurement input 0.30 0.30
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 0.14
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 0.17 0.32
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 0.17 0.26
Level 3 | CDOs and CLOs | Estimated recovery percentage | Scenario Analysis    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Financial instruments owned, measurement input 0.49  
Level 3 | Residential mortgage-backed securities | Discounted Cash Flow    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Financial instruments owned | $ $ 7,526,000 $ 7,714,000
Level 3 | Residential mortgage-backed securities | Constant prepayment rate    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Financial instruments owned, measurement input 0.40 0.20
Level 3 | Residential mortgage-backed securities | Loss severity    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Financial instruments owned, measurement input 0.90 0.10
Level 3 | Residential mortgage-backed securities | Discount rate/yield    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Financial instruments owned, measurement input 0.15 0.12
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 | $ $ 146,290,000 $ 98,172,000
Level 3 | Other ABS | Price | Minimum    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Financial instruments owned, measurement input 104 106
Level 3 | Other ABS | Price | Maximum    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Financial instruments owned, measurement input 126 127
Level 3 | Other ABS | Price | Weighted Average    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Financial instruments owned, measurement input 114 121
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 0.12 0.19
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 0.34 0.30
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 0.22 0.25
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 0.18 0.17
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 0.34 0.34
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 0.26 0.24
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 21 days 10 months 24 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 24 days 1 year
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 24 days 27 days
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 0.92
Level 3 | Loans and other receivables    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Financial instruments owned | $ $ 153,764,000 $ 152,586,000
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 21 17
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 104 106
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 77 75
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 0.18 0.03
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 2.45 2.52
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 0.84 0.50
Level 3 | Options | Basis points upfront    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Derivative asset, measurement input 0.4 0.3
Level 3 | Options | Basis points upfront | Minimum    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Derivative liability, measurement input 7.8 8.0
Level 3 | Options | Basis points upfront | Maximum    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Derivative liability, measurement input 22.6 22.3
Level 3 | Options | Basis points upfront | Weighted Average    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Derivative liability, measurement input 15.0 14.9
Level 3 | Investments at fair value | Market Approach    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Financial instruments owned | $ $ 152,786,000 $ 132,769,000
Level 3 | Private equity securities | Price | Minimum    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Financial instruments owned, measurement input 0 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 8,335 8,506
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 1,616 501
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 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 | $ 29,753,075 29,908,372
Level 3 | Loans    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Derivative liability | $ $ 848,000 $ 16,864,000
Level 3 | Loans | Price | Minimum    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Financial instruments sold, not yet purchased, measurement input | $ 21 17
Level 3 | Loans | Price | Maximum    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Financial instruments sold, not yet purchased, measurement input | $ 100 100
Level 3 | Loans | Price | Weighted Average    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Financial instruments sold, not yet purchased, measurement input | $ 24 75
Level 3 | Loans | Estimated recovery percentage | Minimum    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Financial instruments sold, not yet purchased, measurement input   0
Level 3 | Loans | Estimated recovery percentage | Maximum    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Financial instruments sold, not yet purchased, measurement input   2.05
Level 3 | Loans | Estimated recovery percentage | Weighted Average    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Financial instruments sold, not yet purchased, measurement input   0.50
Level 3 | Equity options    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Derivative liability | $ $ 2,816,000 $ 1,396,000
Level 3 | Equity options | Volatility | Minimum    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Derivative liability, measurement input 0.34 0.28
Level 3 | Equity options | Volatility | Maximum    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Derivative liability, measurement input 0.95 1.02
Level 3 | Equity options | Volatility | Weighted Average    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Derivative liability, measurement input 0.49 0.49
Level 3 | Other secured financings: | Price    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Other secured financings, measurement input 115 117
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 0.76 0.60
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 1
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 0.96 0.93
Level 3 | Long-term debt    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Long-term debt | $ $ 860,684,000 $ 821,903,000
Level 3 | Long-term debt | Price | Minimum    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Long-term debt, measurement input 59 61
Level 3 | Long-term debt | Price | Maximum    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Long-term debt, measurement input 113 122
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 92 96