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Supplemental Disaggregated Information (Details) - USD ($) $ in Millions	12 Months Ended
	Aug. 31, 2024	Aug. 31, 2023	Aug. 31, 2022
Geographic Distribution
Net sales	$ 3,841.0	$ 3,952.2	$ 4,006.1
Long-lived assets	401.6	431.2	399.4
Domestic
Geographic Distribution
Net sales	3,262.9	3,412.9	3,486.4
Long-lived assets	295.7	323.8	325.9
International
Geographic Distribution
Net sales	578.1	539.3	519.7
Long-lived assets	$ 105.9	$ 107.4	$ 73.5
Net Sales | Product Concentration Risk | Lighting, Lighting Controls, And Building Technology Solutions, Excluding Services
Geographic Distribution
Concentrations as a percentage of total (more than)	99.00%	99.00%	99.00%

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