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Stock Based Compensation - Additional Information (Details) - USD ($) |  |  |  | 3 Months Ended | 12 Months Ended |  |
--- | --- | --- | --- | --- | --- | --- | ---
Oct. 02, 2024 | Sep. 20, 2024 | Apr. 04, 2019 | Dec. 31, 2024 | Dec. 31, 2024 | Oct. 01, 2024 | Dec. 31, 2023
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |
Description of forward stock split |  | 103-for-one forward stock split |  |  | 103-for-one stock split |  |
Common stock, shares, issued |  |  |  | 334,461,630 | 334,461,630 |  | 281,211,630
Common stock, shares, outstanding |  |  |  | 334,461,630 | 334,461,630 |  | 281,211,630
Aggregate intrinsic value of stock options outstanding |  |  |  | $ 6,600,000 | $ 6,600,000 |  |
Aggregate intrinsic value of stock options exercisable |  |  |  |  | 700,000 |  |
Shares, vested | 0 |  |  |  |  |  |
Compensation expense |  |  |  | 17,400,000 |  |  |
Unrecognized compensation costs |  |  |  | $ 22,800,000 | 22,800,000 |  |
Stock compensation |  |  |  |  | $ 17,376,000 |  |
Maximum |  |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |
Shares issued, exercise of incentive stock options |  |  |  |  | 19,662,698 |  |
2019 Long-Term Incentive Plan ("Prior Plan") |  |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |
Shares issued |  |  |  |  | 0 |  |
Percentage of time based RSAs and options vested subject to continued employment |  |  |  |  | 50.00% |  |
Percentage of performance based RSAs and options vested subject to continued employment |  |  |  |  | 50.00% |  |
Percentage of discount applied for lack of marketability associated |  |  | 30.00% |  |  |  |
2024 Incentive Award Plan |  |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |
Shares issued | 19,662,698 |  |  |  |  |  |
Employee Stock Purchase Plan (ESPP) |  |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |
Common stock, shares, outstanding |  |  |  | 334,461,630 | 334,461,630 |  |
Dynasty Parent Holdings, L.P. |  |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |
Common stock, shares, issued |  | 281,211,630 |  |  |  |  |
Common stock, shares, outstanding |  | 281,211,630 |  |  |  |  |
Dynasty Parent Holdings, L.P. | Class A-1 Units and Class A-2 Units |  |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |
Shares issued |  | 275,053,375 |  |  |  |  |
Dynasty Parent Holdings, L.P. | Class B Units |  |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |
Shares issued |  | 6,158,255 |  |  |  |  |
Restricted Stock Awards (RSA) | Employee Stock Purchase Plan (ESPP) |  |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |
Common stock, shares, outstanding |  |  |  | 6,036,550 | 6,036,550 |  |
Restricted Stock Awards (RSA) | Dynasty Parent Holdings, L.P. | Class A-1 Units and Class A-2 Units |  |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |
Shares issued |  | 8,157 |  |  |  |  |
Restricted Stock Awards (RSA) | Dynasty Parent Holdings, L.P. | Class B Units |  |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |
Shares issued |  | 6,028,394 |  |  |  |  |
IPO |  |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |
Price per share |  |  |  |  |  | $ 24 |
Compensation expense | $ 0 |  |  |  |  |  |
IPO | Dynasty Parent Holdings, L.P. |  |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |
Price per share |  | $ 24 |  |  |  |  |
IPO | Dynasty Parent Holdings, L.P. | Class A-1 Units and Class A-2 Units |  |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |
Shares issued |  | 275,053,375 |  |  |  |  |
IPO | Dynasty Parent Holdings, L.P. | Class B Units |  |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |
Shares issued |  | 6,158,255 |  |  |  |  |
IPO | Restricted Stock Awards (RSA) | Dynasty Parent Holdings, L.P. | Class A-1 Units and Class A-2 Units |  |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |
Shares issued |  | 8,157 |  |  |  |  |
IPO | Restricted Stock Awards (RSA) | Dynasty Parent Holdings, L.P. | Class B Units |  |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |
Shares issued |  | 6,028,394 |  |  |  |  |

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Name: | us-gaap_SubsidiarySaleOfStockAxis=us-gaap_IPOMember
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Data Type: | na
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