Tax Receivable Agreement - Additional Information (Details) - USD ($)	3 Months Ended
	May 31, 2022	May 31, 2021	Feb. 28, 2022
Tax Receivable Agreement [Line Items]
Tax savings rate	15.00%
Tax rate	24.10%
Business combination tax receivable agreement retain tax benefit remaining of cash saving	85.00%
Imputed interest rate	7.00%
Tax receivable agreement liability	$ 68,260,000		$ 66,590,000
Business combination discount rate for ASC 805 calculation	8.90%		8.20%
Adjustment recorded related to ASC 450 liability	$ 0	$ 0
Change in tax receivable agreement liability	$ (1,700,000)	$ 2,500,000
LIBOR
Tax Receivable Agreement [Line Items]
Basis points	100.00%