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Related Party Transactions - Receivables from and Payables to Related Broker-Dealers (Details) - Related Party - USD ($) | Sep. 30, 2023 | Dec. 31, 2022
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Transactions with Freedom |  |
Related Party Transaction [Line Items] |  |
Receivables from related parties | $ 1,600,000 | $ 1,400,000
Open Derivative Contracts with Cantor |  |
Related Party Transaction [Line Items] |  |
Receivables from related parties | 2,800,000 | 3,100,000
Payables to related parties | 4,700,000 | 5,800,000
Fails and Pending Trades with Cantor |  |
Related Party Transaction [Line Items] |  |
Receivables from related parties |  | 0
Payables to related parties | $ 1,000,000 | $ 0

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