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Fair Value - Valuation of Financial Instruments by Pricing Observability Levels (Details) - USD ($)
$ in Thousands
Dec. 31, 2022
Dec. 31, 2021
Assets, Fair Value Disclosure [Abstract]    
Derivative Asset, Statement of Financial Position [Extensible Enumeration]   Brokers and dealers
Investments:    
Investments, other measurements $ 51,762 $ 77,959
Securities sold not yet purchased:    
Contingent payment arrangements 247,309 38,260
Other investments    
Investments:    
Investments, other measurements 1,486 6,015
Time deposits    
Investments:    
Investments, other measurements 7,750 21,024
Hedge funds    
Investments:    
Investments, other measurements 42,526 50,920
Recurring    
Assets, Fair Value Disclosure [Abstract]    
Money markets 95,521 151,156
Securities segregated (U.S. Treasury Bills) 1,521,705 1,503,828
Derivatives 24,712 15,422
Investments:    
Total investments measured at fair value and other measurements 217,518 273,418
Total assets measured at fair value and other measurements 1,859,456 1,943,824
Securities sold not yet purchased:    
Short equities – corporate   1,054
Short exchange-traded options   2,774
Derivatives 13,712 16,923
Contingent payment arrangements 247,309 38,260
Total liabilities measured at fair value 261,021 59,011
Recurring | Level 1    
Assets, Fair Value Disclosure [Abstract]    
Money markets 95,521 151,156
Securities segregated (U.S. Treasury Bills) 0 0
Derivatives 1,768 392
Investments:    
Total investments 136,344 155,904
Total assets measured at fair value 233,633 307,452
Securities sold not yet purchased:    
Short equities – corporate   1,054
Short exchange-traded options   2,774
Derivatives 162 1,186
Contingent payment arrangements 0 0
Total liabilities measured at fair value 162 5,014
Recurring | Level 2    
Assets, Fair Value Disclosure [Abstract]    
Money markets 0 0
Securities segregated (U.S. Treasury Bills) 1,521,705 1,503,828
Derivatives 22,944 15,030
Investments:    
Total investments 27,799 39,284
Total assets measured at fair value 1,572,448 1,558,142
Securities sold not yet purchased:    
Short equities – corporate   0
Short exchange-traded options   0
Derivatives 13,550 15,737
Contingent payment arrangements 0 0
Total liabilities measured at fair value 13,550 15,737
Recurring | Level 3    
Assets, Fair Value Disclosure [Abstract]    
Money markets 0 0
Securities segregated (U.S. Treasury Bills) 0 0
Derivatives 0 0
Investments:    
Total investments 129 126
Total assets measured at fair value 129 126
Securities sold not yet purchased:    
Short equities – corporate   0
Short exchange-traded options   0
Derivatives 0 0
Contingent payment arrangements 247,309 38,260
Total liabilities measured at fair value 247,309 38,260
Recurring | NAV Expedient    
Investments:    
Total investments 1,484 145
Total assets measured at fair value 1,484 145
Recurring | Equity securities    
Investments:    
Investments 159,067 184,472
Recurring | Equity securities | Level 1    
Investments:    
Investments 129,655 144,917
Recurring | Equity securities | Level 2    
Investments:    
Investments 27,799 39,284
Recurring | Equity securities | Level 3    
Investments:    
Investments 129 126
Recurring | Equity securities | NAV Expedient    
Investments:    
Investments 1,484 145
Recurring | Other investments    
Investments:    
Investments, other measurements   15,109
Total investments measured at fair value and other measurements 8,175  
Recurring | Other investments | Level 1    
Investments:    
Total investments 6,689 9,094
Recurring | Other investments | Level 2    
Investments:    
Total investments 0 0
Recurring | Other investments | Level 3    
Investments:    
Total investments 0 0
Recurring | Time deposits    
Investments:    
Investments, other measurements 7,750 21,024
Recurring | Hedge funds    
Investments:    
Investments, other measurements $ 42,526 50,920
Recurring | Hedge funds | Level 1    
Investments:    
Investments   0
Recurring | Long exchange-traded options(1) | Exchange-traded options    
Investments:    
Investments   1,893
Recurring | Long exchange-traded options(1) | Exchange-traded options | Level 1    
Investments:    
Investments   1,893
Recurring | Long exchange-traded options(1) | Exchange-traded options | Level 2    
Investments:    
Investments   0
Recurring | Long exchange-traded options(1) | Exchange-traded options | Level 3    
Investments:    
Investments   $ 0