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Debt and Lines of Credit (Details)
 3 Months Ended 9 Months Ended
Jun. 30, 2022
USD ($)
Nov. 10, 2020
USD ($)
May 31, 2023
USD ($)
May 31, 2022
USD ($)
May 31, 2023
USD ($)
May 31, 2022
USD ($)
Aug. 31, 2022
USD ($)
Line of Credit Facility [Abstract]              
Short-term borrowings outstanding     $ 0   $ 0   $ 18,000,000.0
Interest Revenue (Expense), Net [Abstract]              
Interest expense     6,300,000 $ 6,600,000 21,800,000 $ 19,200,000  
Interest income     (2,400,000) (400,000) (5,600,000) (1,100,000)  
Interest expense, net     3,900,000 $ 6,200,000 16,200,000 $ 18,100,000  
Unsecured debt | 2.150% Senior Unsecured Notes Due December 2030 | Acuity Brands Lighting, Inc.              
Line of Credit Facility [Abstract]              
Aggregate principal amount   $ 500,000,000          
Interest rate (as percent)   2.15%          
Debt issuance price as a percentage of face value (as percent)   99.737%          
Deferred issuance costs   $ 4,800,000          
Term of instrument   10 years          
Line of Credit | The Credit Agreement | Credit facility              
Line of Credit Facility [Abstract]              
Term of instrument 5 years            
Executed revolving credit facility $ 600,000,000            
Line of credit facility, additional borrowing capacity $ 400,000,000            
Short-term borrowings outstanding     0   0   $ 18,000,000
Maximum leverage ratio 3.75            
Temporary maximum leverage ratio allowed in the event of a significant acquisition 4.25            
Additional borrowing capacity under revolving credit facility     596,200,000   596,200,000    
Line of Credit | The Credit Agreement | Credit facility | Minimum              
Line of Credit Facility [Abstract]              
Facility fee (as percent) 0.075%            
Line of Credit | The Credit Agreement | Credit facility | Maximum              
Line of Credit Facility [Abstract]              
Facility fee (as percent) 0.175%            
Line of Credit | The Credit Agreement | Credit facility | Base Rate | Minimum              
Line of Credit Facility [Abstract]              
Applicable margins based on company's leverage ratio, percentage 0.80%            
Line of Credit | The Credit Agreement | Credit facility | Base Rate | Maximum              
Line of Credit Facility [Abstract]              
Applicable margins based on company's leverage ratio, percentage 1.20%            
Line of Credit | The Credit Agreement | Credit facility | Floating Rate | Minimum              
Line of Credit Facility [Abstract]              
Applicable margins based on company's leverage ratio, percentage 0.00%            
Line of Credit | The Credit Agreement | Credit facility | Floating Rate | Maximum              
Line of Credit Facility [Abstract]              
Applicable margins based on company's leverage ratio, percentage 0.20%            
Letters of Credit | The Credit Agreement | Credit facility              
Line of Credit Facility [Abstract]              
Outstanding letters of credit     $ 3,800,000   $ 3,800,000