Property, Plant and Equipment, Net - Property, Plant and Equipment, Net (Detail) - USD ($) $ in Millions	Aug. 31, 2023	Aug. 31, 2022
Property, Plant and Equipment [Line Items]
Property plant and equipment	$ 1,196.5	$ 1,241.9
Accumulated depreciation	(577.3)	(596.7)
Property, plant and equipment, net	619.2	645.2
Land and improvements
Property, Plant and Equipment [Line Items]
Property plant and equipment	70.9	88.4
Machinery and Equipment
Property, Plant and Equipment [Line Items]
Property plant and equipment	574.0	623.7
Building and improvements
Property, Plant and Equipment [Line Items]
Property plant and equipment	352.0	367.1
Construction in Progress
Property, Plant and Equipment [Line Items]
Property plant and equipment	81.3	55.3
Other
Property, Plant and Equipment [Line Items]
Property plant and equipment	$ 118.3	$ 107.4