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Equity - Narrative (Details) |  |  | 3 Months Ended | 9 Months Ended | 12 Months Ended |  |
--- | --- | --- | --- | --- | --- | --- | ---
May 20, 2024 USD ($) $ / shares | Feb. 28, 2020 USD ($) shares | Sep. 30, 2024 USD ($) entity $ / shares shares | Jun. 30, 2024 shares | Mar. 31, 2024 shares | Sep. 30, 2023 USD ($) shares | Jun. 30, 2023 shares | Mar. 31, 2023 shares | Sep. 30, 2024 USD ($) entity $ / shares shares | Sep. 30, 2023 USD ($) shares | Dec. 31, 2023 entity $ / shares shares | Dec. 31, 2022 USD ($) $ / shares shares | Sep. 06, 2024 USD ($) | Dec. 31, 2020 shares
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Common stock, shares outstanding (in shares) |  |  | 44,978,969 |  |  |  |  |  | 44,978,969 |  | 27,460,161 |  |  |
Common stock, par value per share (in dollars per share) | $ / shares |  |  | $ 0.01 |  |  |  |  |  | $ 0.01 |  | $ 0.01 |  |  |
Common stock, shares authorized (in shares) |  |  | 125,000,000 |  |  |  |  |  | 125,000,000 |  | 125,000,000 |  |  |
Stock repurchased and retired during period | $ |  |  |  |  |  |  |  |  | $ 19,100,000 |  |  |  |  |
Preferred stock, par value per share (in dollars per share) | $ / shares |  |  |  |  |  |  |  |  |  |  |  | $ 25.00 |  |
Exchange of preferred shares and warrants (in shares) |  |  |  |  |  | 0 |  |  |  | 0 |  |  |  |
Preferred stock, shares authorized (in shares) |  |  | 25,000,000 |  |  |  |  |  | 25,000,000 |  | 25,000,000 |  |  |
Common stock authorized | $ |  | $ 25,000,000.0 |  |  |  |  |  |  |  |  |  |  |  |
Stock repurchased (in shares) |  |  | 0 |  |  | 0 |  |  | 0 | 0 |  |  |  |
Stock repurchased, value | $ |  |  |  |  |  |  |  |  | $ 5,100,000 |  |  |  |  |
Treasury stock (in shares) |  |  | 1,664,365 |  |  |  |  |  | 1,664,365 |  | 1,035,785 |  |  |
Sale of common stock, net of offering costs | $ |  |  |  |  |  |  |  |  | $ 14,000,000 | $ 17,181,000 |  |  |  |
Number of non controlling interest subsidiaries | entity |  |  | 2 |  |  |  |  |  | 2 |  | 3 |  |  |
Open market purchases |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock repurchased (in shares) |  | 525,039 |  |  |  |  |  |  | 525,039 |  | 525,039 |  |  |
At-the-Market Program |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Common stock authorized | $ |  |  | $ 100,000,000 |  |  |  |  |  | $ 100,000,000 |  |  |  | $ 400,000,000 |
Sale of common stock (in shares) |  |  | 0 |  |  | 2,182,152 |  |  | 0 | 2,621,742 |  |  |  |
Sale of common stock, net of offering costs | $ |  |  |  |  |  | $ 14,300,000 |  |  |  | $ 17,200,000 |  |  |  |
AS Ajax E II LLC |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Ownership percentage by parent (as percent) |  |  | 0.00% |  |  |  |  |  | 0.00% |  | 53.10% |  |  |
2017-D |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Ownership percentage by parent (as percent) |  |  | 50.00% |  |  |  |  |  | 50.00% |  | 50.00% |  |  |
Great Ajax II REIT |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Ownership percentage by parent (as percent) |  |  | 99.90% |  |  |  |  |  | 99.90% |  | 99.90% |  |  |
Thetis Asset Management LLC |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Treasury stock (in shares) |  |  | 777,414 |  |  |  |  |  | 777,414 |  |  |  |  |
Treasury stock, received (in shares) |  |  | 628,580 |  |  |  |  |  |  |  | 148,834 |  |  |
Gregory |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Treasury stock, received (in shares) |  |  | 361,912 |  |  |  |  |  |  |  | 361,912 |  |  |
7.25% Series A preferred stock |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Preferred stock, shares issued (in shares) |  |  | 0 |  |  |  |  |  | 0 |  | 424,949 |  |  | 2,307,400
Preferred stock, liquidation preference per share (in dollars per share) | $ / shares |  |  | $ 25.00 |  |  |  |  |  | $ 25.00 |  | $ 25.00 |  |  |
Preferred stock, shares outstanding (in shares) |  |  | 0 |  |  |  |  |  | 0 |  | 424,949 |  |  |
5.00% Series B preferred stock |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Preferred stock, shares issued (in shares) |  |  | 0 |  |  |  |  |  | 0 |  | 1,135,590 |  |  | 2,892,600
Preferred stock, liquidation preference per share (in dollars per share) | $ / shares |  |  | $ 25.00 |  |  |  |  |  | $ 25.00 |  | $ 25.00 |  |  |
Preferred stock, discount (in percent) |  |  |  |  |  |  |  |  |  |  |  | 2.50% |  |
Preferred stock, shares outstanding (in shares) |  |  | 0 |  |  |  |  |  | 0 |  | 1,135,590 |  |  |
Rithm | Secured Debt | Line of Credit |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock price of common stock (in dollars per share) | $ / shares | $ 4.87 |  | $ 4.87 |  |  |  |  |  | $ 4.87 |  |  |  |  |
Sale of stock, consideration received on transaction | $ | $ 14,000,000 |  |  |  |  |  |  |  | $ 14,000,000.0 |  |  |  |  |
Preferred stock |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Preferred stock discount | $ |  |  | $ 0 |  |  | $ 0 |  |  | $ 0 | $ 0 |  | $ 8,200,000 |  |
Preferred stock | 7.25% Series A preferred stock |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Exchange of shares (in shares) |  |  |  |  |  |  |  |  | 424,949 |  |  |  |  |
Stock repurchased and retired during period, shares (in shares) |  |  |  |  |  |  |  |  |  |  |  | 1,882,451 |  |
Exchange of preferred shares and warrants (in shares) |  |  |  |  | 424,949 |  |  |  |  |  |  |  |  |
Preferred stock, shares outstanding (in shares) |  |  | 0 | 0 | 0 | 424,949 | 424,949 | 424,949 | 0 | 424,949 | 424,949 | 424,949 |  |
Preferred stock | 5.00% Series B preferred stock |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Exchange of shares (in shares) |  |  |  |  |  |  |  |  | 1,135,590 |  |  |  |  |
Stock repurchased and retired during period, shares (in shares) |  |  |  |  |  |  |  |  |  |  |  | 1,757,010 |  |
Stock repurchased and retired during period | $ |  |  |  |  |  |  |  |  |  |  |  | $ 88,700,000 |  |
Stock repurchased and retired during period, average price per share (in dollars per share) | $ / shares |  |  |  |  |  |  |  |  |  |  |  | $ 24.37 |  |
Exchange of preferred shares and warrants (in shares) |  |  |  |  | 1,135,590 |  |  |  |  |  |  |  |  |
Preferred stock, shares outstanding (in shares) |  |  | 0 | 0 | 0 | 1,135,590 | 1,135,590 | 1,135,590 | 0 | 1,135,590 | 1,135,590 | 1,135,590 |  |
Common stock |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Common stock, shares outstanding (in shares) |  |  | 44,978,969 | 45,605,549 | 36,992,019 | 25,808,681 | 23,627,677 | 23,509,446 | 44,978,969 | 25,808,681 | 27,460,161 | 23,130,956 |  |
Sale of shares (in shares) |  |  |  | 2,874,744 |  | 2,182,152 | 94,012 | 345,578 | 2,874,744 |  |  |  |  |
Stock-based management termination fee expense (in shares) |  |  |  | 3,174,645 |  |  |  |  | 3,174,645 |  |  |  |  |
Exchange of shares (in shares) |  |  |  | 2,581,694 | 9,464,524 |  |  |  | 12,046,218 |  |  |  |  |
Exchange of preferred shares and warrants (in shares) |  |  |  | 2,581,694 | 9,464,524 |  |  |  |  |  |  |  |  |
Treasury stock, received (in shares) |  |  | 628,580 |  |  |  | 4,176 |  |  |  |  |  |  |
Issuance of shares under dividend reinvestment plan (in shares) |  |  | 0 |  |  | 0 |  |  | 0 | 0 |  |  |  |

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