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Related Party Transactions - Jefferies (Details) - USD ($)
1 Months Ended 3 Months Ended 12 Months Ended
Nov. 27, 2019
Jun. 30, 2020
Nov. 30, 2021
Nov. 30, 2020
Nov. 30, 2021
Nov. 30, 2020
Nov. 30, 2019
Nov. 03, 2020
Related Party Transaction [Line Items]                
Payables to brokers, dealers and clearing organizations     $ 5,814,066,000 $ 3,325,753,000 $ 5,814,066,000 $ 3,325,753,000    
Financial instruments owned, at fair value     19,336,237,000 17,686,052,000 19,336,237,000 17,686,052,000    
Disposal group, disposed of by sale, not discontinued operations | Sale of subsidiary                
Related Party Transaction [Line Items]                
Sale of subsidiary               $ 180,700,000
Jefferies | Broker-dealer payable to customer                
Related Party Transaction [Line Items]                
Customer accounts payables     500,000 2,200,000 500,000 2,200,000    
Affiliated entity | Director                
Related Party Transaction [Line Items]                
Investment in related party       800,000   800,000    
Affiliated entity | Jefferies                
Related Party Transaction [Line Items]                
Charges to Jefferies for services provided         42,900,000 47,200,000 $ 52,700,000  
Charges from Jefferies for services received         38,400,000 32,200,000 9,500,000  
Receivable from Jefferies     300,000 1,300,000 300,000 1,300,000    
Payable to Jefferies     10,900,000 7,100,000 10,900,000 7,100,000    
Payments of distributions         923,500,000 498,700,000    
Proceeds from contributions         153,600,000      
Accrued distributions payable         193,000,000 153,600,000    
Tax receivable     130,600,000   130,600,000      
Tax payable       111,100,000   111,100,000    
Payment made to related party related to tax sharing agreement         595,000,000 83,000,000    
Net gain on investments         0      
Securities purchased from Jefferies         17,100,000 64,800,000    
Securities sold to Jefferies         5,700,000 100,000    
Payment received for transferred investment $ 31,000,000              
Increase (decrease) due from affiliates   $ 2,900,000            
Affiliated entity | Jefferies | Corporate debt securities                
Related Party Transaction [Line Items]                
Financial instruments owned, at fair value     2,300,000 2,600,000 2,300,000 2,600,000    
Reversal of floor brokerage clearance fees         1,000,000      
Affiliated entity | Jefferies | Investment banking                
Related Party Transaction [Line Items]                
Charges to Jefferies for services provided         45,800,000 10,500,000 10,600,000  
Affiliated entity | Jefferies | Commissions and other fees                
Related Party Transaction [Line Items]                
Charges to Jefferies for services provided         900,000 1,500,000 1,200,000  
Affiliated entity | Affiliate of Jefferies                
Related Party Transaction [Line Items]                
Payables to brokers, dealers and clearing organizations     700,000 2,700,000 700,000 2,700,000    
Financial instruments owned, at fair value     100,000   100,000      
Payments for rent and other expenses         800,000 800,000 0  
Affiliated entity | Subsidiary of Jefferies                
Related Party Transaction [Line Items]                
Net gains (losses) on foreign exchange contracts     $ (100,000) (1,600,000) 6,100,000      
Affiliated entity | Hedge fund managed by Jefferies                
Related Party Transaction [Line Items]                
Net gain on investments           15,800,000 4,700,000  
Investment in related party       $ 239,000,000   $ 239,000,000    
Payment received         $ 2,200,000      
Affiliated entity | Hedge fund managed by Jefferies | Director                
Related Party Transaction [Line Items]                
Investment in related party             $ 400,000