Goodwill and Other Intangible Assets - Schedule of Changes in Carrying Amount of Goodwill (Details) $ in Thousands	6 Months Ended
	Feb. 28, 2026 USD ($)
Goodwill and Intangible Assets Disclosure [Abstract]
Beginning balance	$ 657,748
Goodwill recorded during the period	12,160
Other	88
Ending balance	$ 669,996