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Stock Transactions and Unit Redemptions - Share Repurchases of Class A Common Stock (Details) - USD ($)
$ / shares in Units, $ in Thousands
1 Months Ended 3 Months Ended 9 Months Ended
May 19, 2025
May 16, 2025
Feb. 05, 2025
Sep. 30, 2025
Aug. 31, 2025
Jul. 31, 2025
Sep. 30, 2024
Aug. 31, 2024
Jul. 31, 2024
Sep. 30, 2025
Jun. 30, 2025
Mar. 31, 2025
Sep. 30, 2024
Jun. 30, 2024
Mar. 31, 2024
Sep. 30, 2025
Sep. 30, 2024
Class of Stock [Line Items]                                  
Total Number of Shares Repurchased (in shares)       2,225,000 2,014,000 0 1,046,000 4,807,000 2,040,000 4,239,000 17,224,000 3,184,000 7,893,000 10,688,000 11,250,000 24,647,000 29,831,000
Weighted-Average Price Paid per Share (in dollars per share)       $ 9.96 $ 9.80 $ 0 $ 9.65 $ 9.12 $ 8.59   $ 9.21 $ 9.36   $ 8.32 $ 7.11 $ 9.34 $ 8.06
Approximate Dollar Value of Shares That Could Be Repurchased Under the Program       $ 136,518     $ 121,173     $ 136,518     $ 121,173     $ 136,518 $ 121,173
Aggregate purchase price of Class A common stock                               $ 213,549 $ 212,192
Shares withheld to satisfy tax liabilities (in shares)                         900,000     1,800,000 3,600,000
Weighted-average price of shares withheld for tax liabilities (in dollars per share)                         $ 8.48     $ 9.16 $ 7.98
Class A Common Stock                                  
Class of Stock [Line Items]                                  
Total Number of Shares Repurchased (in shares)                   4,236,069     7,013,116     22,808,205 26,264,523
Approximate Dollar Value of Shares That Could Be Repurchased Under the Program       $ 136,500           $ 136,500           $ 136,500  
Stock repurchased during period (in shares)                   4,200,000     7,900,000     24,600,000 29,800,000
Aggregate purchase price of Class A common stock                   $ 41,900     $ 71,500     $ 230,300 $ 240,400
Stock repurchased, weighted average price (in dollars per share)                   $ 9.88     $ 9.05     $ 9.34 $ 8.06
Shares withheld to satisfy tax liabilities (in shares)     700,000                            
Share-based payment arrangement, decrease for tax withholding obligation                   $ 10,100     $ 3,700     $ 31,000 $ 24,900
Class A Common Stock | Mr. Howard W. Lutnick | Nonrelated Party                                  
Class of Stock [Line Items]                                  
Total Number of Shares Repurchased (in shares)   16,100,000                              
Class A Common Stock | Mr. Howard W. Lutnick | Related Party                                  
Class of Stock [Line Items]                                  
Total Number of Shares Repurchased (in shares) 16,115,102 16,452,850                              
Stock repurchased, weighted average price (in dollars per share)   $ 9.2082                              
Restricted Shares                                  
Class of Stock [Line Items]                                  
Share-based payment arrangement, decrease for tax withholding obligation                         $ 7,500     $ 16,800 $ 28,400