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Redeemable Convertible Preferred Stock and Stockholders Deficit - Additional Information (Details) - USD ($) $ / shares in Units, $ in Millions |  | 3 Months Ended | 9 Months Ended |
--- | --- | --- | --- | ---
Apr. 07, 2021 | Oct. 31, 2024 | Oct. 31, 2024 | Aug. 25, 2024
Series A Convertible Preferred Stock |  |  |  |
Class Of Stock [Line Items] |  |  |  |
Cash dividends paid |  |  | $ 11.3 |
Accrued divided |  |  | 1.3 |
Series A Convertible Preferred Stock | KKR |  |  |  |
Class Of Stock [Line Items] |  |  |  |
Issuance and sale, number of shares | 500,000 |  |  |
Shares issued, par value | $ 0.0001 |  |  |
Aggregate purchase price | $ 500.0 |  |  |
Sale price per share | $ 1,000 |  |  |
Class A Common Stock | Share Repurchase Plan |  |  |  |
Class Of Stock [Line Items] |  |  |  |
Authorized purchase amount |  |  |  | $ 100.0
Remaining authorized purchase amount |  | $ 94.6 | $ 94.6 |
Shares repurchased during period |  | 1,000,000 | 6,300,000 |
Purchase price per share |  | $ 29.78 | $ 27.01 |
Shares repurchased amount |  | $ 29.9 | $ 169.0 |

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