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Redeemable Convertible Preferred Stock and Stockholders Deficit - Additional Information (Details) - USD ($) |  |  | 3 Months Ended | 6 Months Ended
--- | --- | --- | --- | ---
May 12, 2021 | Apr. 07, 2021 | Jul. 31, 2022 | Jul. 31, 2022
Series A Convertible Preferred Stock |  |  |  |
Class Of Stock [Line Items] |  |  |  |
Cash dividends paid |  |  |  | $ 7,500,000
Temporary equity accretion of redemption interest |  |  |  | 1,100,000
Accrued divided |  |  |  | 1,300,000
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 |  | $ 500,000,000 |  |
Sale price per share |  | $ 1,000 |  |
Sale of stock closing date | May 12, 2021 |  |  |
Series A Preferred Stock |  |  |  |
Class Of Stock [Line Items] |  |  |  |
Preferred stock, liquidation preference |  | $ 1,000 |  |
Percentage of cash dividend payable on preferred stock |  | 3.00% |  |
Initial conversion price of preferred stock per share of common stock |  | $ 27.00 |  |
Percentage of volume weighted average price of common stock |  | 200.00% |  |
Class A Common Stock | Share Repurchase Plan |  |  |  |
Class Of Stock [Line Items] |  |  |  |
Authorized purchase amount |  |  | $ 610,000,000 | 610,000,000
Share repurchase amount |  |  | $ 556,800,000 | $ 556,800,000
Shares repurchased |  |  | 22,100,000 | 22,100,000
Remaining authorized purchase amount |  |  | $ 29,300,000 | $ 29,300,000
Shares repurchased during period |  |  | 4,600,000 | 8,800,000
Purchase price per share |  |  | $ 25.81 | $ 25.98
Shares repurchased amount |  |  | $ 118,400,000 | $ 228,300,000

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