Debt - Additional Information (Details)		6 Months Ended
	Sep. 09, 2022 USD ($)	Feb. 28, 2025 USD ($)	Feb. 29, 2024 USD ($)	Aug. 31, 2024 USD ($)
Debt Instrument [Line Items]
Borrowings on Revolving Credit		$ 14,421,000	$ 48,000,000
Senior Credit Facilty	$ 600,000,000
Long-term debt, net		187,086,000		$ 189,503,000
Long-term Debt		192,500,000		195,000,000
Senior Credit Facility - Term Loan
Debt Instrument [Line Items]
Line of Credit Facility, Maximum Borrowing Capacity	200,000,000	192,500,000
Senior credit facility expansion option, available	300,000,000
Revolving Credit Facility
Debt Instrument [Line Items]
Line of Credit Facility, Maximum Borrowing Capacity	$ 400,000,000
Long-term Debt		0		0
Senior Credit Facility - Revolver
Debt Instrument [Line Items]
Outstanding letters of credit		(1,500,000)
Debt Instrument, Unused Borrowing Capacity, Amount		398,500,000
Debt Instrument, Name [Domain] | Senior Credit Facility - Term Loan
Debt Instrument [Line Items]
Long-term Debt		$ 192,500,000		$ 195,000,000
Minimum
Debt Instrument [Line Items]
Line of Credit Facility, Unused Capacity, Commitment Fee Percentage	0.15%
Adjusted Leverage Ratio	1.00
Minimum | Senior Credit Facility - Term Loan
Debt Instrument [Line Items]
Debt Instrument, Basis Spread on Variable Rate	1.125%
Leverage ratio	1.00
Interest Coverage Ratio	100.00%
Minimum | Senior Credit Facility - Term Loan | Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate
Debt Instrument [Line Items]
Debt Instrument, Basis Spread on Variable Rate	1.125%
Maximum
Debt Instrument [Line Items]
Line of Credit Facility, Unused Capacity, Commitment Fee Percentage	0.30%
Adjusted Leverage Ratio	4.25
Maximum | Senior Credit Facility - Term Loan
Debt Instrument [Line Items]
Debt Instrument, Basis Spread on Variable Rate	1.875%
Leverage ratio	3.75
Interest Coverage Ratio	300.00%