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Property, Plant, and Equipment - Schedule of Property, Plant, and Equipment (Details) - USD ($) $ in Millions	Jul. 01, 2021	May 31, 2021	Aug. 31, 2020
Property, Plant and Equipment [Line Items]
Total property, plant, and equipment, at cost		$ 830.7	$ 802.8
Less: Accumulated depreciation and amortization		(571.0)	(532.3)
Property, plant, and equipment, net		259.7	270.5
Held-for-sale | Subsequent Event
Property, Plant and Equipment [Line Items]
Property, plant and equipment held for sale	$ 6.6
Land
Property, Plant and Equipment [Line Items]
Total property, plant, and equipment, at cost		22.6	22.2
Buildings and leasehold improvements
Property, Plant and Equipment [Line Items]
Total property, plant, and equipment, at cost		196.1	192.2
Machinery and equipment
Property, Plant and Equipment [Line Items]
Total property, plant, and equipment, at cost		$ 612.0	$ 588.4

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