Leases - Summary of Supplemental Cash Flow Information and Non-Cash Activity Related to Leases (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 31, 2024	Aug. 31, 2023	Aug. 31, 2022
Cash paid for amounts included in the measurement of lease liabilities:
Operating cash flows for operating leases	$ 25,684	$ 25,414	$ 25,351
Operating cash flows for finance leases	414	393	403
Financing cash flows for finance leases	2,388	2,049	1,483
Lease liabilities arising from obtaining right-of-use assets:
Operating leases	28,538	15,279	12,000
Finance leases	$ 4,362	$ 3,596	$ 534