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

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