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