Stockholders' Equity - Additional Information (Details) $ / shares in Units, $ in Thousands		11 Months Ended	12 Months Ended
	Jan. 19, 2023 shares	Feb. 03, 2021 USD ($) shares	Feb. 28, 2023 Vote $ / shares shares	Feb. 28, 2022 $ / shares shares		Jan. 20, 2022 USD ($)	Aug. 19, 2021 $ / shares shares	Feb. 28, 2021 shares	Feb. 29, 2020 shares
Class Of Stock [Line Items]
Common stock, shares outstanding | $ / shares			$ 1.00
Proceeds from sale of membership unit | $		$ 3,501
Share repurchase program, authorized amount | $						$ 100,000
Number of shares repurchase during the period			218,891	1,619,864
Class V Common Stock
Class Of Stock [Line Items]
Common stock, shares authorized			40,000,000				42,747,890
Common stock, par value | $ / shares			$ 0.0001				$ 0.0001
Common stock, shares issued			32,992,007	33,560,839
Common stock, shares outstanding			32,992,007	33,560,839
Common stock voting rights, description			These shares have no economic value but entitle the holder to one vote per share.
Common stock, terms of conversion, description			on a one-for-one basis to their Common Units which in essence allows each holder one vote per Common Unit.
Treasury shares			9,755,883	9,187,051
Class A ordinary shares
Class Of Stock [Line Items]
Common stock, shares authorized			2,500,000,000	2,500,000,000
Common stock, par value | $ / shares			$ 0.0001	$ 0.0001
Common shares, votes per share | Vote			1
Common stock, shares issued			302,582,007	301,536,621
Common stock, shares outstanding		349,600,000	302,405,353	301,359,967				187,051,142	349,000,000.0
Number of shares repurchase during the period	0			176,654	[1]
Class A-1 Common Stock
Class Of Stock [Line Items]
Common stock, shares outstanding		7,200,000							6,100,000

[1] On July 13, 2021, the Company's board of directors waived the Lock-up Period solely in respect of withholding shares to cover taxes upon the issuance of Class A Common Stock to the executive officers upon the conversion of the Series B-1 and Series B-2 common stock. The shares were repurchased at an average price of $14.00 per share, or $2.5 million, to cover withholding taxes associated with the Series B-1 conversion to Class A Common Stock. See Note 15, Contingent Consideration for additional details on the conversions.