Goodwill and Other Intangible Assets - Schedule of Changes in Carrying Amount of Goodwill (Details) $ in Thousands	3 Months Ended
	Nov. 30, 2024 USD ($)
Goodwill and Intangible Assets Disclosure [Abstract]
Beginning balance	$ 648,850
Goodwill recorded during the period	1,223
Other	(183)
Ending balance	$ 649,890