Redeemable Convertible Preferred Stock and Stockholders Deficit - Additional Information (Details) - USD ($)		3 Months Ended	6 Months Ended
	Apr. 07, 2021	Jul. 31, 2025	Jul. 31, 2025	Mar. 04, 2025
Share Repurchase Plan
Class Of Stock [Line Items]
Remaining authorized purchase amount		$ 112,100,000	$ 112,100,000
Shares repurchased during period		1,200,000	2,800,000
Purchase price per share		$ 32.48	$ 31.81
Shares repurchased amount		$ 40,200,000	$ 89,800,000
Series A Convertible Preferred Stock
Class Of Stock [Line Items]
Cash dividends paid			7,500,000
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
Class A Common Stock | Share Repurchase Plan
Class Of Stock [Line Items]
Authorized purchase amount				$ 150,000,000