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Financial Assets and Liabilities - Measured on a Recurring Basis (Details) - USD ($)
$ in Thousands
6 Months Ended 12 Months Ended
Jun. 30, 2024
Dec. 31, 2023
Assets    
Other Assets $ 112,137 $ 84,521
Receivables from broker-dealers and clearing organizations 902,867 737,724
Liabilities    
Financial instruments sold, not yet purchased, at fair value 6,287,382 6,071,352
Financial instruments sold, not yet purchased, at fair value, counterparty and cash collateral netting (304,738) (336,311)
Payables to broker-dealers and clearing organizations 843,112 1,167,712
Interest rate swap    
Assets    
Receivables from broker-dealers and clearing organizations 5,612  
Liabilities    
Payables to broker-dealers and clearing organizations   7,661
Not Pledged    
Assets    
Financial instruments owned, at fair value 5,830,029 6,127,752
Financial instruments owned, at fair value, counterparty and cash collateral netting (275,473) (354,698)
Pledged    
Assets    
Financial instruments owned, at fair value 1,499,401 1,230,859
Equity securities    
Liabilities    
Financial instruments sold, not yet purchased, at fair value 3,583,941 2,612,817
Equity securities | Not Pledged    
Assets    
Financial instruments owned, at fair value 3,159,532 2,554,805
Equity securities | Pledged    
Assets    
Financial instruments owned, at fair value 1,490,271 1,222,559
U.S. and Non-U.S. government obligations    
Liabilities    
Financial instruments sold, not yet purchased, at fair value 1,399,264 2,072,949
U.S. and Non-U.S. government obligations | Not Pledged    
Assets    
Financial instruments owned, at fair value 1,221,831 2,296,719
Corporate Bonds    
Liabilities    
Financial instruments sold, not yet purchased, at fair value 1,259,855 1,358,522
Corporate Bonds | Not Pledged    
Assets    
Financial instruments owned, at fair value 1,415,169 1,232,097
Exchange traded notes    
Liabilities    
Financial instruments sold, not yet purchased, at fair value 40,947 21,104
Exchange traded notes | Not Pledged    
Assets    
Financial instruments owned, at fair value 28,937 18,065
Exchange traded notes | Pledged    
Assets    
Financial instruments owned, at fair value 9,130 8,300
Currency forwards    
Liabilities    
Financial instruments sold, not yet purchased, at fair value 2 2,774
Financial instruments sold, not yet purchased, at fair value, counterparty and cash collateral netting (304,738) (336,311)
Currency forwards | Not Pledged    
Assets    
Financial instruments owned, at fair value 1,894 22,581
Financial instruments owned, at fair value, counterparty and cash collateral netting (275,473) (354,698)
Options    
Liabilities    
Financial instruments sold, not yet purchased, at fair value 3,373 3,186
Options | Not Pledged    
Assets    
Financial instruments owned, at fair value 2,666 3,485
Equity investment    
Assets    
Other Assets 79,031 81,805
Exchange stock    
Assets    
Other Assets 2,599 2,716
Interest rate swaps and digital assets    
Assets    
Receivables from broker-dealers and clearing organizations 27,682  
Receivables linked to digital assets    
Assets    
Other Assets 30,507  
Receivables from broker-dealers and clearing organizations 22,070  
Liabilities    
Payables to broker-dealers and clearing organizations 43,768  
Quoted Prices in Active Markets for Identical Assets (Level 1)     
Assets    
Other Assets 33,106 2,716
Receivables from broker-dealers and clearing organizations 0 0
Liabilities    
Financial instruments sold, not yet purchased, at fair value 2,406,016 1,632,305
Payables to broker-dealers and clearing organizations 0 0
Quoted Prices in Active Markets for Identical Assets (Level 1)  | Interest rate swap    
Assets    
Receivables from broker-dealers and clearing organizations 0  
Liabilities    
Payables to broker-dealers and clearing organizations   0
Quoted Prices in Active Markets for Identical Assets (Level 1)  | Not Pledged    
Assets    
Financial instruments owned, at fair value 1,032,882 1,235,736
Quoted Prices in Active Markets for Identical Assets (Level 1)  | Pledged    
Assets    
Financial instruments owned, at fair value 992,445 871,240
Quoted Prices in Active Markets for Identical Assets (Level 1)  | Equity securities    
Liabilities    
Financial instruments sold, not yet purchased, at fair value 2,107,475 1,447,726
Quoted Prices in Active Markets for Identical Assets (Level 1)  | Equity securities | Not Pledged    
Assets    
Financial instruments owned, at fair value 772,892 710,699
Quoted Prices in Active Markets for Identical Assets (Level 1)  | Equity securities | Pledged    
Assets    
Financial instruments owned, at fair value 992,444 871,237
Quoted Prices in Active Markets for Identical Assets (Level 1)  | U.S. and Non-U.S. government obligations    
Liabilities    
Financial instruments sold, not yet purchased, at fair value 295,163 181,393
Quoted Prices in Active Markets for Identical Assets (Level 1)  | U.S. and Non-U.S. government obligations | Not Pledged    
Assets    
Financial instruments owned, at fair value 257,316 521,542
Quoted Prices in Active Markets for Identical Assets (Level 1)  | Corporate Bonds    
Liabilities    
Financial instruments sold, not yet purchased, at fair value 0 0
Quoted Prices in Active Markets for Identical Assets (Level 1)  | Corporate Bonds | Not Pledged    
Assets    
Financial instruments owned, at fair value 0 0
Quoted Prices in Active Markets for Identical Assets (Level 1)  | Exchange traded notes    
Liabilities    
Financial instruments sold, not yet purchased, at fair value 5 0
Quoted Prices in Active Markets for Identical Assets (Level 1)  | Exchange traded notes | Not Pledged    
Assets    
Financial instruments owned, at fair value 8 10
Quoted Prices in Active Markets for Identical Assets (Level 1)  | Exchange traded notes | Pledged    
Assets    
Financial instruments owned, at fair value 1 3
Quoted Prices in Active Markets for Identical Assets (Level 1)  | Currency forwards    
Liabilities    
Financial instruments sold, not yet purchased, at fair value 0 0
Quoted Prices in Active Markets for Identical Assets (Level 1)  | Currency forwards | Not Pledged    
Assets    
Financial instruments owned, at fair value 0 0
Quoted Prices in Active Markets for Identical Assets (Level 1)  | Options    
Liabilities    
Financial instruments sold, not yet purchased, at fair value 3,373 3,186
Quoted Prices in Active Markets for Identical Assets (Level 1)  | Options | Not Pledged    
Assets    
Financial instruments owned, at fair value 2,666 3,485
Quoted Prices in Active Markets for Identical Assets (Level 1)  | Equity investment    
Assets    
Other Assets 0 0
Quoted Prices in Active Markets for Identical Assets (Level 1)  | Exchange stock    
Assets    
Other Assets 2,599 2,716
Quoted Prices in Active Markets for Identical Assets (Level 1)  | Interest rate swaps and digital assets    
Assets    
Receivables from broker-dealers and clearing organizations 0  
Quoted Prices in Active Markets for Identical Assets (Level 1)  | Receivables linked to digital assets    
Assets    
Other Assets 30,507  
Receivables from broker-dealers and clearing organizations  
Liabilities    
Payables to broker-dealers and clearing organizations 0  
Significant Other Observable Inputs (Level 2)     
Assets    
Other Assets 0 0
Receivables from broker-dealers and clearing organizations 875,185 737,724
Liabilities    
Financial instruments sold, not yet purchased, at fair value 4,186,104 4,775,358
Payables to broker-dealers and clearing organizations 799,344 1,160,051
Significant Other Observable Inputs (Level 2)  | Interest rate swap    
Assets    
Receivables from broker-dealers and clearing organizations 5,612  
Liabilities    
Payables to broker-dealers and clearing organizations   7,661
Significant Other Observable Inputs (Level 2)  | Not Pledged    
Assets    
Financial instruments owned, at fair value 5,072,620 5,246,714
Significant Other Observable Inputs (Level 2)  | Pledged    
Assets    
Financial instruments owned, at fair value 506,956 359,619
Significant Other Observable Inputs (Level 2)  | Equity securities    
Liabilities    
Financial instruments sold, not yet purchased, at fair value 1,476,466 1,165,091
Significant Other Observable Inputs (Level 2)  | Equity securities | Not Pledged    
Assets    
Financial instruments owned, at fair value 2,386,640 1,844,106
Significant Other Observable Inputs (Level 2)  | Equity securities | Pledged    
Assets    
Financial instruments owned, at fair value 497,827 351,322
Significant Other Observable Inputs (Level 2)  | U.S. and Non-U.S. government obligations    
Liabilities    
Financial instruments sold, not yet purchased, at fair value 1,104,101 1,891,556
Significant Other Observable Inputs (Level 2)  | U.S. and Non-U.S. government obligations | Not Pledged    
Assets    
Financial instruments owned, at fair value 964,515 1,775,177
Significant Other Observable Inputs (Level 2)  | Corporate Bonds    
Liabilities    
Financial instruments sold, not yet purchased, at fair value 1,259,855 1,358,522
Significant Other Observable Inputs (Level 2)  | Corporate Bonds | Not Pledged    
Assets    
Financial instruments owned, at fair value 1,415,169 1,232,097
Significant Other Observable Inputs (Level 2)  | Exchange traded notes    
Liabilities    
Financial instruments sold, not yet purchased, at fair value 40,942 21,104
Significant Other Observable Inputs (Level 2)  | Exchange traded notes | Not Pledged    
Assets    
Financial instruments owned, at fair value 28,929 18,055
Significant Other Observable Inputs (Level 2)  | Exchange traded notes | Pledged    
Assets    
Financial instruments owned, at fair value 9,129 8,297
Significant Other Observable Inputs (Level 2)  | Currency forwards    
Liabilities    
Financial instruments sold, not yet purchased, at fair value 304,740 339,085
Significant Other Observable Inputs (Level 2)  | Currency forwards | Not Pledged    
Assets    
Financial instruments owned, at fair value 277,367 377,279
Significant Other Observable Inputs (Level 2)  | Options    
Liabilities    
Financial instruments sold, not yet purchased, at fair value 0 0
Significant Other Observable Inputs (Level 2)  | Options | Not Pledged    
Assets    
Financial instruments owned, at fair value 0 0
Significant Other Observable Inputs (Level 2)  | Equity investment    
Assets    
Other Assets 0 0
Significant Other Observable Inputs (Level 2)  | Exchange stock    
Assets    
Other Assets 0 0
Significant Other Observable Inputs (Level 2)  | Interest rate swaps and digital assets    
Assets    
Receivables from broker-dealers and clearing organizations 27,682  
Significant Other Observable Inputs (Level 2)  | Receivables linked to digital assets    
Assets    
Other Assets  
Receivables from broker-dealers and clearing organizations 22,070  
Liabilities    
Payables to broker-dealers and clearing organizations 43,768  
Significant Unobservable Inputs (Level 3)     
Assets    
Other Assets 79,031 81,805
Receivables from broker-dealers and clearing organizations 0 0
Liabilities    
Financial instruments sold, not yet purchased, at fair value 0 0
Payables to broker-dealers and clearing organizations 0 0
Significant Unobservable Inputs (Level 3)  | Interest rate swap    
Assets    
Receivables from broker-dealers and clearing organizations 0  
Liabilities    
Payables to broker-dealers and clearing organizations   0
Significant Unobservable Inputs (Level 3)  | Not Pledged    
Assets    
Financial instruments owned, at fair value 0 0
Significant Unobservable Inputs (Level 3)  | Pledged    
Assets    
Financial instruments owned, at fair value 0 0
Significant Unobservable Inputs (Level 3)  | Equity securities    
Liabilities    
Financial instruments sold, not yet purchased, at fair value 0 0
Significant Unobservable Inputs (Level 3)  | Equity securities | Not Pledged    
Assets    
Financial instruments owned, at fair value 0 0
Significant Unobservable Inputs (Level 3)  | Equity securities | Pledged    
Assets    
Financial instruments owned, at fair value 0 0
Significant Unobservable Inputs (Level 3)  | U.S. and Non-U.S. government obligations    
Liabilities    
Financial instruments sold, not yet purchased, at fair value 0 0
Significant Unobservable Inputs (Level 3)  | U.S. and Non-U.S. government obligations | Not Pledged    
Assets    
Financial instruments owned, at fair value 0 0
Significant Unobservable Inputs (Level 3)  | Corporate Bonds    
Liabilities    
Financial instruments sold, not yet purchased, at fair value 0 0
Significant Unobservable Inputs (Level 3)  | Corporate Bonds | Not Pledged    
Assets    
Financial instruments owned, at fair value 0 0
Significant Unobservable Inputs (Level 3)  | Exchange traded notes    
Liabilities    
Financial instruments sold, not yet purchased, at fair value 0 0
Significant Unobservable Inputs (Level 3)  | Exchange traded notes | Not Pledged    
Assets    
Financial instruments owned, at fair value 0 0
Significant Unobservable Inputs (Level 3)  | Exchange traded notes | Pledged    
Assets    
Financial instruments owned, at fair value 0 0
Significant Unobservable Inputs (Level 3)  | Currency forwards    
Liabilities    
Financial instruments sold, not yet purchased, at fair value 0
Significant Unobservable Inputs (Level 3)  | Currency forwards | Not Pledged    
Assets    
Financial instruments owned, at fair value 0 0
Significant Unobservable Inputs (Level 3)  | Options    
Liabilities    
Financial instruments sold, not yet purchased, at fair value 0
Significant Unobservable Inputs (Level 3)  | Options | Not Pledged    
Assets    
Financial instruments owned, at fair value 0 0
Significant Unobservable Inputs (Level 3)  | Equity investment    
Assets    
Other Assets 79,031 81,805
Significant Unobservable Inputs (Level 3)  | Exchange stock    
Assets    
Other Assets 0 $ 0
Significant Unobservable Inputs (Level 3)  | Interest rate swaps and digital assets    
Assets    
Receivables from broker-dealers and clearing organizations 0  
Significant Unobservable Inputs (Level 3)  | Receivables linked to digital assets    
Assets    
Other Assets 0  
Receivables from broker-dealers and clearing organizations  
Liabilities    
Payables to broker-dealers and clearing organizations $ 0