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Supplemental Disaggregated Information (Details) - USD ($) $ in Millions	12 Months Ended
	Aug. 31, 2025	Aug. 31, 2024	Aug. 31, 2023
Geographic Distribution
Net sales	$ 4,345.6	$ 3,841.0	$ 3,952.2
Long-lived assets	485.8	401.6	431.2
Domestic
Geographic Distribution
Net sales	3,756.7	3,262.9	3,412.9
Long-lived assets	359.9	295.7	323.8
International
Geographic Distribution
Net sales	588.9	578.1	539.3
Long-lived assets	$ 125.9	$ 105.9	$ 107.4
Net Sales | Product Concentration Risk | Lighting, Lighting Controls, Building Management Solutions, and Audio, Video and Control Platforms, Excluding Services
Geographic Distribution
Concentrations as a percentage of total (more than)	99.00%	99.00%	99.00%

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