Property, Plant and Equipment - Schedule of Property, Plant and Equipment (Details) - USD ($) $ in Millions	Nov. 30, 2019	Aug. 31, 2019
Property, Plant and Equipment [Line Items]
Total property, plant, and equipment, at cost	$ 774.0	$ 757.7
Less: Accumulated depreciation and amortization	(495.6)	(480.4)
Property, plant, and equipment, net	278.4	277.3
Land
Property, Plant and Equipment [Line Items]
Total property, plant, and equipment, at cost	22.7	22.6
Buildings and leasehold improvements
Property, Plant and Equipment [Line Items]
Total property, plant, and equipment, at cost	193.6	190.7
Machinery and equipment
Property, Plant and Equipment [Line Items]
Total property, plant, and equipment, at cost	$ 557.7	$ 544.4