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Related Party Transactions - Transactions with Other Related Parties (Details) - $ / shares
1 Months Ended 3 Months Ended 9 Months Ended
May 19, 2025
May 16, 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
Related Party Transaction [Line Items]                                
Repurchase of class A common stock (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
Class A Common Stock                                
Related Party Transaction [Line Items]                                
Repurchase of class A common stock (in shares)                 4,236,069     7,013,116     22,808,205 26,264,523
Stock repurchased, weighted average price (in dollars per share)                 $ 9.88     $ 9.05     $ 9.34 $ 8.06
Mr. Howard W. Lutnick | Related Party | Class A Common Stock                                
Related Party Transaction [Line Items]                                
Repurchase of class A common stock (in shares) 16,115,102 16,452,850                            
Stock repurchased, weighted average price (in dollars per share)   $ 9.2082                            
Mr. Howard W. Lutnick | Related Party | Common Class A, Shares Held Directly By Howard W. Lutnick                                
Related Party Transaction [Line Items]                                
Repurchase of class A common stock (in shares)   5,616,612                            
Mr. Howard W. Lutnick | Related Party | Common Class A, Shares Held in the Personal Asset Trust                                
Related Party Transaction [Line Items]                                
Repurchase of class A common stock (in shares)   10,489,582                            
Mr. Howard W. Lutnick | Related Party | Common Class A, Shares Held by the Family Trust                                
Related Party Transaction [Line Items]                                
Repurchase of class A common stock (in shares)   8,908                            
Mr. Howard W. Lutnick | Related Party | Common Class A, Shares Held in A Retirement Account                                
Related Party Transaction [Line Items]                                
Repurchase of class A common stock (in shares)   337,748