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Goodwill and Other Intangible Assets - Narrative (Details) - USD ($)	12 Months Ended
	Aug. 31, 2024	Aug. 31, 2023	Aug. 31, 2022	Dec. 01, 2023
Finite-Lived Intangible Assets [Line Items]
Goodwill, accumulated impairment loss	$ 0			$ 0
Intangible assets, impairment charge	$ 0	$ 0	$ 0
Theron
Finite-Lived Intangible Assets [Line Items]
Weighted average useful life	14 years 9 months 18 days

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