Goodwill and Other Intangible Assets - Additional Information (Details)		3 Months Ended	12 Months Ended
	Sep. 01, 2024 segment	Aug. 31, 2025 USD ($)	Aug. 31, 2025 USD ($) segment	Aug. 31, 2024 USD ($) segment	Aug. 31, 2023 USD ($)
Goodwill and Intangible Assets Disclosure [Abstract]
Number of operating segments | segment	3		3	2
Impairment of indefinite-lived intangible assets		$ 0
Amortization of intangibles			$ 62,000,000	$ 40,000,000	$ 33,000,000