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Segment Reporting - Schedule of Income Before Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended
Nov. 30, 2024
Nov. 30, 2023
Segment Reporting Information [Line Items]    
Operating profit $ 133.3 $ 132.9
Interest (income) expense, net (4.0) 0.9
Miscellaneous expense, net 2.5 1.1
Income before income taxes 134.8 130.9
Operating Segments | Acuity Brands Lighting    
Segment Reporting Information [Line Items]    
Operating profit 143.3 143.8
Operating Segments | Acuity Intelligent Spaces    
Segment Reporting Information [Line Items]    
Operating profit 10.8 5.3
Unallocated corporate amounts    
Segment Reporting Information [Line Items]    
Operating profit $ (20.8) $ (16.2)