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