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v3.25.3

Summary of Significant Accounting Policies (Details) $ / shares in Units, $ in Millions |  | 1 Months Ended | 3 Months Ended | 9 Months Ended | 12 Months Ended |  |
--- | --- | --- | --- | --- | --- | --- | ---
Sep. 11, 2025 plan shares | Jan. 31, 2022 acquistion | Sep. 30, 2025 USD ($) $ / shares shares | Sep. 30, 2024 USD ($) | Sep. 30, 2025 USD ($) tranche $ / shares shares | Sep. 30, 2024 USD ($) | Dec. 31, 2020 shares | Sep. 10, 2025 class | Dec. 31, 2024 USD ($)
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |
Customer custodial funds related to GUSD | $ |  |  | $ 49.3 |  | $ 49.3 |  |  |  | $ 58.7
Customer custodial funds due to customers related to GUSD | $ |  |  | 48.7 |  | 48.7 |  |  |  | $ 58.4
Advertising expense | $ |  |  | $ 17.9 | $ 1.1 | $ 28.6 | $ 1.7 |  |  |
Number of equity incentive plans | plan | 2 |  |  |  |  |  |  |  |
Number of classes of common units | class |  |  |  |  |  |  |  | 3 |
Number of asset acquisitions | acquistion |  | 2 |  |  |  |  |  |  |
ESPP |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |
Term of annual increase in shares authorized |  |  |  |  | 10 years |  |  |  |
Annual increase in shares authorized percentage |  |  |  |  | 1.00% |  |  |  |
Stock discount percentage |  |  |  |  | 15.00% |  |  |  |
Accumulated payroll deduction offering period |  |  |  |  | 6 months |  |  |  |
Purchase price of common stock percentage |  |  |  |  | 85.00% |  |  |  |
Maximum annual increase in shares authorized (in shares) |  |  |  |  | 1,500,000 |  |  |  |
NSOs |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |
Contractual period |  |  |  |  | 10 years |  |  |  |
Exercise price percentage |  |  |  |  | 100.00% |  |  |  |
Performance period |  |  |  |  | 7 years |  |  |  |
Number of vesting tranches | tranche |  |  |  |  | 4 |  |  |  |
NSOs | Share-Based Payment Arrangement, Tranche One |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |
Vesting percentage |  |  |  |  | 50.00% |  |  |  |
NSOs | Share-Based Payment Arrangement, Tranche Two |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |
Vesting percentage |  |  |  |  | 50.00% |  |  |  |
RSUs | Share-Based Payment Arrangement, Tranche One |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |
Vesting percentage |  |  |  |  | 25.00% |  |  |  |
Vesting period |  |  |  |  | 4 years |  |  |  |
RSUs | Share-Based Payment Arrangement, Tranche Two |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |
Vesting percentage |  |  |  |  | 75.00% |  |  |  |
Vesting period |  |  |  |  | 3 years |  |  |  |
Service-Based Incentive Units |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |
Vesting period |  |  |  |  | 4 years |  |  |  |
Service-Based Incentive Units | Share-Based Payment Arrangement, Tranche One |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |
Vesting percentage |  |  |  |  | 25.00% |  |  |  |
Service-Based Incentive Units | Share-Based Payment Arrangement, Tranche Two |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |
Vesting percentage |  |  |  |  | 75.00% |  |  |  |
Vesting period |  |  |  |  | 3 years |  |  |  |
Performance Based Incentive Units |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |
Maximum vesting of granted awards upon achieving certain performance metrics (in shares) |  |  |  |  |  |  | 1,300,000 |  |
Service-Based Common Units |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |
Vesting percentage |  | 50.00% |  |  |  |  |  |  |
Vesting period |  | 2 years |  |  |  |  |  |  |
Class A common stock | Common Units |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |
Number of shares resulting from conversion of equity (in shares) | 9,800,000 |  |  |  |  |  |  |  |
Class B common stock | Common Units |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |
Number of shares resulting from conversion of equity (in shares) | 4,600,000 |  |  |  |  |  |  |  |
Equity Plan |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |
Term of annual increase in shares authorized |  |  |  |  | 10 years |  |  |  |
Annual increase in shares authorized percentage |  |  |  |  | 5.00% |  |  |  |
Empery Common Stock |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |
Number of shares available to purchase from warrant rights (in shares) |  |  | 900,000 |  | 900,000 |  |  |  |
Exercise price of warrants (in dollars per share) | $ / shares |  |  | $ 10.00 |  | $ 10.00 |  |  |  |
Exercisable increments percentage |  |  |  |  | 20.00% |  |  |  |
Exercisable increments, volume-weighted average price per share increasing increments per share (in dollars per share) | $ / shares |  |  |  |  | $ 5.00 |  |  |  |
Percentage of warrant vesting conditions met |  |  | 40.00% |  | 40.00% |  |  |  |
Empery Common Stock | Minimum |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |
Exercisable increments, volume-weighted average price per share (in dollars per share) | $ / shares |  |  |  |  | $ 10.00 |  |  |  |
Empery Common Stock | Maximum |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |
Exercisable increments, volume-weighted average price per share (in dollars per share) | $ / shares |  |  |  |  | $ 30.00 |  |  |  |

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