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Redeemable Convertible Preferred Stock and Stockholders' Deficit - Additional Information (Details) - USD ($)
 12 Months Ended
May 12, 2021
Apr. 07, 2021
Jan. 31, 2025
Jan. 31, 2024
Mar. 04, 2025
Class Of Stock [Line Items]          
Common Stock, shares authorized     1,000,000,000 1,000,000,000  
Common Stock, par value     $ 0.0001 $ 0.0001  
Common Stock, shares issued     144,113,000 144,353,000  
Common Stock, shares outstanding     144,113,000 144,353,000  
Preferred stock, shares authorized     100,000,000 100,000,000  
Shares issued, par value     $ 0.0001 $ 0.0001  
Series A convertible preferred stock issued     500,000 500,000  
Series A convertible preferred stock outstanding     500,000 500,000  
Treasury stock, shares     3,107,809 3,107,809  
Share Repurchase Plan          
Class Of Stock [Line Items]          
Remaining authorized purchase amount     $ 52,000,000    
Class A Common Stock          
Class Of Stock [Line Items]          
Common stock, voting rights     1 vote per share    
Common Stock, shares authorized     1,000,000,000 1,000,000,000  
Common Stock, par value     $ 0.0001 $ 0.0001  
Common Stock, shares issued     144,112,756 144,353,060  
Common Stock, shares outstanding     144,112,756 144,353,060  
Percentage of redemption of preferred stock liquidation preference   100.00%      
Class A Common Stock | Share Repurchase Plan          
Class Of Stock [Line Items]          
Shares repurchased during period     7,600,000 6,600,000  
Purchase price per share     $ 27.9 $ 27.01  
Shares repurchased amount     $ 211,500,000 $ 177,000,000  
Class A Common Stock | Share Repurchase Plan | Subsequent Event          
Class Of Stock [Line Items]          
Authorized purchase amount         $ 150,000,000
Series A Convertible Preferred Stock          
Class Of Stock [Line Items]          
Cash dividends paid     15,000,000 $ 15,000,000  
Accrued divided     $ 1,300,000    
Series A Convertible Preferred Stock | KKR          
Class Of Stock [Line Items]          
Shares issued, par value   $ 0.0001      
Issuance and sale, number of shares   500,000      
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      
Percentage of volume weighted average price of common stock   200.00%      
Percentage of redemption of preferred stock liquidation preference   100.00%      
Series A Preferred Stock | Fifth Anniversary of Closing Date          
Class Of Stock [Line Items]          
Percentage of multiplied by redemption of preferred stock liquidation preference   105.00%      
Series A Preferred Stock | Sixth Anniversary of Closing Date          
Class Of Stock [Line Items]          
Percentage of multiplied by redemption of preferred stock liquidation preference   102.00%      
Series A Preferred Stock | Seventh Anniversary of Closing Date          
Class Of Stock [Line Items]          
Percentage of redemption of preferred stock liquidation preference   100.00%      
Percentage of multiplied by redemption of preferred stock liquidation preference   100.00%      
Series A Preferred Stock | KKR          
Class Of Stock [Line Items]          
Percentage of beneficially owns closing the issuance of converted basis   50.00%