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Property, Plant and Equipment - Schedule of Property, Plant and Equipment (Details) - USD ($)
$ in Millions
Feb. 28, 2021
Aug. 31, 2020
Property, Plant and Equipment [Line Items]    
Total property, plant, and equipment, at cost $ 818.9 $ 802.8
Less: Accumulated depreciation and amortization (556.9) (532.3)
Property, plant, and equipment, net 262.0 270.5
Land    
Property, Plant and Equipment [Line Items]    
Total property, plant, and equipment, at cost 22.4 22.2
Buildings and leasehold improvements    
Property, Plant and Equipment [Line Items]    
Total property, plant, and equipment, at cost 194.1 192.2
Machinery and equipment    
Property, Plant and Equipment [Line Items]    
Total property, plant, and equipment, at cost $ 602.4 $ 588.4