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Stock Transactions and Unit Redemptions - Share Repurchases of Class A Common Stock (Detail) - USD ($) $ / shares in Units, $ in Thousands |  |  | 1 Months Ended | 3 Months Ended | 6 Months Ended
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May 16, 2025 | Feb. 05, 2025 | Jun. 30, 2025 | May 31, 2025 | Apr. 30, 2025 | Jun. 30, 2024 | May 31, 2024 | Apr. 30, 2024 | Jun. 30, 2025 | Mar. 31, 2025 | Jun. 30, 2024 | Mar. 31, 2024 | Jun. 30, 2025 | Jun. 30, 2024
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Total Number of Shares Repurchased (in shares) |  |  | 12,000 | 16,115,000 | 1,097,000 | 4,102,000 | 5,031,000 | 1,555,000 | 17,224,000 | 3,184,000 | 10,688,000 | 11,250,000 | 20,408,000 | 21,938,000
Weighted-Average Price Paid per Share (in dollars per share) |  |  | $ 9.75 | $ 9.21 | $ 9.22 | $ 8.21 | $ 8.62 | $ 7.68 |  | $ 9.36 |  | $ 7.11 | $ 9.23 | $ 7.70
Approximate Dollar Value of Shares That Could Be Repurchased Under the Program |  |  | $ 178,389 |  |  | $ 183,492 |  |  | $ 178,389 |  | $ 183,492 |  | $ 178,389 | $ 183,492
Aggregate purchase price of Class A common stock |  |  |  |  |  |  |  |  |  |  |  |  | $ 171,635 | $ 148,117
Shares withheld to satisfy tax liabilities (in shares) |  |  |  |  |  |  |  |  | 1,100,000 |  | 1,300,000 |  | 1,800,000 | 2,700,000
Weighted-average price of shares withheld for tax liabilities (in dollars per share) |  |  |  |  |  |  |  |  | $ 9.22 |  | $ 7.61 |  | $ 9.16 | $ 7.81
Class A Common Stock |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Total Number of Shares Repurchased (in shares) |  |  |  |  |  |  |  |  | 16,127,307 |  | 9,431,127 |  | 18,572,136 | 19,251,407
Approximate Dollar Value of Shares That Could Be Repurchased Under the Program |  |  | $ 178,400 |  |  |  |  |  | $ 178,400 |  |  |  | $ 178,400 |
Stock repurchased during period (in shares) |  |  |  |  |  |  |  |  | 17,200,000 |  | 10,700,000 |  | 20,400,000 | 21,900,000
Aggregate purchase price of Class A common stock |  |  |  |  |  |  |  |  | $ 158,600 |  | $ 89,000 |  | $ 188,400 | $ 168,900
Stock repurchased, weighted average price (in dollars per share) |  |  |  |  |  |  |  |  | $ 9.21 |  | $ 8.32 |  | $ 9.23 | $ 7.70
Shares withheld to satisfy tax liabilities (in shares) |  | 700,000 |  |  |  |  |  |  |  |  |  |  |  |
Share-based payment arrangement, decrease for tax withholding obligation |  |  |  |  |  |  |  |  | $ 12,500 |  | $ 10,300 |  | $ 20,900 | $ 21,200
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 |  |  |  |  |  |  |  |  |  |  |  |  |
Restricted Shares |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Share-based payment arrangement, decrease for tax withholding obligation |  |  |  |  |  |  |  |  | $ 10,100 |  | $ 9,600 |  | $ 16,800 | $ 21,000

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