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Related Party Transactions - Transactions with Executive Officers and Directors, 2 (Details)
1 Months Ended 12 Months Ended
Jul. 12, 2023
USD ($)
Jul. 12, 2023
GBP (£)
Jul. 11, 2023
GBP (£)
Jul. 10, 2023
USD ($)
$ / shares
shares
Jul. 01, 2023
USD ($)
Jun. 30, 2023
USD ($)
Aug. 11, 2022
USD ($)
$ / shares
shares
Dec. 21, 2021
USD ($)
shares
Jun. 28, 2021
USD ($)
$ / shares
shares
Apr. 29, 2021
USD ($)
shares
Apr. 23, 2021
USD ($)
$ / shares
shares
Feb. 22, 2021
USD ($)
shares
Oct. 31, 2023
USD ($)
Dec. 31, 2023
USD ($)
shares
Dec. 31, 2022
USD ($)
shares
Dec. 31, 2021
USD ($)
shares
Apr. 08, 2021
shares
Mar. 02, 2020
$ / shares
Related Party Transaction [Line Items]                                    
Deed of amendment, notice period 24 months 24 months                                
Share-based payment arrangement, decrease for tax withholding obligation | $                         $ 5,000,000          
Number of H Units redeemed (in shares)                 1,131,774                  
Payment related to H Units redeemed | $                 $ 7,017,000                  
Number of preferred H Units redeemed (in shares)                 1,018,390                  
Payment related tax for redeemed preferred H Units | $                 $ 7,983,000                  
Restricted Stock Units (RSUs)                                    
Related Party Transaction [Line Items]                                    
Share-based payment arrangement, decrease for tax withholding obligation | $         $ 74,000,000 $ 49,200,000                        
Aggregate estimated grant date fair value | $ $ 3,986,600                         $ 62,494,000 $ 18,743,000 $ 12,792,000    
Related Party                                    
Related Party Transaction [Line Items]                                    
Issuance of Class A common stock (net of costs) (in shares)                           0 0      
Mr. Windeatt | Restricted Stock Units (RSUs)                                    
Related Party Transaction [Line Items]                                    
Vested in period (in shares)       720,509                            
Share-based payment arrangement, decrease for tax withholding obligation | $       $ 780,333                            
Mr. Windeatt | Related Party                                    
Related Party Transaction [Line Items]                                    
Drawings, aggregate amount, per year | £   £ 700,000 £ 600,000                              
Mr. Merkel                                    
Related Party Transaction [Line Items]                                    
Payment related to exchangeable PPSUs redeemed | $               $ 555,990                    
Number of non-exchangeable PPSU approved redemption (in shares)               90,366                    
Payment related to non exchangeable PPSU approved redemption | $               $ 0                    
Number of exchangeable PPSU (in shares)               149,301                    
Mr. Lutnick                                    
Related Party Transaction [Line Items]                                    
Number of non-exchangeable PSU (in shares)               2,011,731                    
Payment related to non-exchangeable PSU redeemed | $               $ 0                    
Payment related to exchangeable PPSUs redeemed | $               $ 1,525,706                    
Number of non-exchangeable PPSU approved redemption (in shares)               1,939,896                    
Payment related to non exchangeable PPSU approved redemption | $               $ 10,851,803                    
Number of exchangeable PPSU (in shares)               425,766                    
Number of H Units redeemed (in shares)               376,651                    
Number of HDUs redeemed (in shares)               376,651                    
Payment related to H Units redeemed | $               $ 2,339,003                    
Number of preferred H Units redeemed (in shares)               463,969                    
Payment related tax for redeemed preferred H Units | $               $ 2,661,000                    
Mr. Lutnick | Exchange LPUs For Common Stock                                    
Related Party Transaction [Line Items]                                    
Exchange share price (in dollars per share) | $ / shares                 $ 5.86                  
Number of shares redeemed (in shares)                 0                  
Number of non-exchangeable LPU (in shares)                 88,636                  
Number of exchangeable LPU exchanged for issuance of shares (in shares)                 520,380                  
Mr. Lutnick | Exchange PLPUs for Common Stock                                    
Related Party Transaction [Line Items]                                    
Number of exchangeable PLPUs (in shares)                 425,765                  
Payment related tax for redeemed PLPU | $                 $ 1,525,705                  
Class A Common Stock                                    
Related Party Transaction [Line Items]                                    
Issuance of Class A common stock (net of costs) (in shares)                           518,191 500,697 417,247    
Number of shares repurchased (in shares)                             27,100,000      
Share price (in dollars per share) | $ / shares       $ 4.45                            
Class A Common Stock | Mr. Merkel                                    
Related Party Transaction [Line Items]                                    
Issuance of Class A common stock (net of costs) (in shares)               90,366                    
Class A Common Stock | Mr. Lutnick                                    
Related Party Transaction [Line Items]                                    
Issuance of Class A common stock (net of costs) (in shares)               2,011,731                    
Class A Common Stock | Mr. Lutnick | Exchange LPUs For Common Stock                                    
Related Party Transaction [Line Items]                                    
Issuance of Class A common stock (net of costs) (in shares)                 520,380                  
Common stock, shares issued net of shares for tax withholdings (in shares)                 365,229                  
Class A Common Stock | Mr. Lutnick | Exchange PLPUs for Common Stock                                    
Related Party Transaction [Line Items]                                    
Issuance of Class A common stock (net of costs) (in shares)                 88,636                  
Common stock, shares issued net of shares for tax withholdings (in shares)                 41,464                  
Stephen M. Merkel                                    
Related Party Transaction [Line Items]                                    
Number of non-exchangeable units redeemed (in shares)                   108,350                
Number of non-exchangeable PSU (in shares)                   273,612                
Payment related to non-exchangeable PSU redeemed | $                   $ 0                
Number of non-exchangeable PPSU redeemed (in shares)                   101,358                
Number of non-exchangeable PPSU (in shares)                   250,659                
Payment related to exchangeable PPSUs redeemed | $                   $ 575,687                
Stephen M. Merkel | Class A Common Stock                                    
Related Party Transaction [Line Items]                                    
Issuance of Class A common stock (net of costs) (in shares)                   108,350                
Number of shares repurchased (in shares)                   108,350                
Sean A. Windeatt                                    
Related Party Transaction [Line Items]                                    
Stock repurchase program, remaining number of shares authorized to be repurchased (in shares)                                 62,211  
Exchange share price (in dollars per share) | $ / shares             $ 4.08       $ 5.65             $ 5.38
Shares authorized to be repurchased (in shares)             135,514       123,713              
Number of shares redeemed (in shares)             27,826       28,477              
Number of shares redeemed, value | $             $ 134,678       $ 178,266              
Number of exchange rights grant (in shares)                       123,713            
Number of non-exchangeable LPU (in shares)                       123,713            
Number of PLPU share issued for non-exchangeable (in shares)                       28,477            
Payment of withholding tax rate for common stock issue | $                       $ 178,266            
Sean A. Windeatt | Class A Common Stock                                    
Related Party Transaction [Line Items]                                    
Number of exchangeable LPU exchanged for issuance of shares (in shares)                       123,713