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Acquisitions - Narrative (Details)
$ in Millions
12 Months Ended
Aug. 31, 2020
USD ($)
May 31, 2021
USD ($)
May 31, 2020
USD ($)
Sep. 17, 2019
brand
Aug. 31, 2019
USD ($)
Business Acquisition [Line Items]          
Goodwill $ 1,080.0 $ 1,096.2 $ 1,086.4   $ 967.3
The Luminaires Group (TLG)          
Business Acquisition [Line Items]          
Number of niche lighting brands | brand       5  
Fiscal 2020 Acquisitions          
Business Acquisition [Line Items]          
Goodwill 107.6        
Identified intangible assets $ 180.6        
Weighted average useful life of acquired intangible assets 16 years        
Goodwill expected to be tax deductible $ 77.7