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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 |  |  |  |  |  |  |  |  |  |  |  |  |  |

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