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Goodwill and Intangible Assets - Schedule of Changes in Goodwill (Details) - USD ($) $ in Millions	3 Months Ended
	Nov. 30, 2024	Nov. 30, 2023
Goodwill [Roll Forward]
Goodwill, beginning balance	$ 1,098.7	$ 1,097.9
Foreign currency translation adjustments	(6.9)	(0.4)
Goodwill, ending balance	1,091.8	1,097.5
Acuity Brands Lighting
Goodwill [Roll Forward]
Goodwill, beginning balance	1,015.1	1,014.4
Foreign currency translation adjustments	(4.9)	(0.2)
Goodwill, ending balance	1,010.2	1,014.2
Acuity Intelligent Spaces
Goodwill [Roll Forward]
Goodwill, beginning balance	83.6	83.5
Foreign currency translation adjustments	(2.0)	(0.2)
Goodwill, ending balance	$ 81.6	$ 83.3

X

- Definition

Amount, after accumulated impairment loss, of asset representing future economic benefit arising from other asset acquired in business combination or from joint venture formation or both, that is not individually identified and separately recognized.

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- Definition

Amount of foreign currency translation gain (loss) which increases (decreases) asset representing future economic benefit from other asset acquired in business combination or from joint venture formation or both, that is not individually identified and separately recognized.

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