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Goodwill and Intangible Assets - Schedule of Changes in Goodwill (Details) - USD ($) $ in Millions	6 Months Ended
	Feb. 28, 2025	Feb. 29, 2024
Goodwill [Roll Forward]
Goodwill, beginning balance	$ 1,098.7	$ 1,097.9
Provisional amounts from acquired business	363.5
Foreign currency translation adjustments	(11.9)	(0.8)
Goodwill, ending balance	1,450.3	1,097.1
Acuity Brands Lighting
Goodwill [Roll Forward]
Goodwill, beginning balance	1,015.1	1,014.4
Provisional amounts from acquired business	0.0
Foreign currency translation adjustments	(8.2)	(0.6)
Goodwill, ending balance	1,006.9	1,013.8
Acuity Intelligent Spaces
Goodwill [Roll Forward]
Goodwill, beginning balance	83.6	83.5
Provisional amounts from acquired business	363.5
Foreign currency translation adjustments	(3.7)	(0.2)
Goodwill, ending balance	$ 443.4	$ 83.3

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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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