Goodwill and Other Intangible Assets - Schedule of Changes in Carrying Amount of Goodwill (Details) $ in Thousands	9 Months Ended
	May 31, 2025 USD ($)
Goodwill and Intangible Assets Disclosure [Abstract]
Beginning balance	$ 648,850
Goodwill recorded during the period	4,508
Other	(58)
Ending balance	$ 653,300