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Significant Accounting Policies - Property, Plant and Equipment (Details) - USD ($) $ in Millions	12 Months Ended
	Aug. 31, 2021	Aug. 31, 2020	Aug. 31, 2019
Property, Plant and Equipment [Line Items]
Depreciation expense	$ 59.4	$ 59.4	$ 57.5
Total property, plant, and equipment, at cost	845.3	802.8
Less: Accumulated depreciation and amortization	(576.2)	(532.3)
Property, plant, and equipment, net	269.1	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	198.0	192.2
Machinery and equipment
Property, Plant and Equipment [Line Items]
Total property, plant, and equipment, at cost	$ 624.9	$ 588.4
Minimum | Buildings and leasehold improvements
Property, Plant and Equipment [Line Items]
Useful lives of plant and equipment, minimum	3 years
Minimum | Machinery and equipment
Property, Plant and Equipment [Line Items]
Useful lives of plant and equipment, minimum	2 years
Maximum | Buildings and leasehold improvements
Property, Plant and Equipment [Line Items]
Useful lives of plant and equipment, minimum	40 years
Maximum | Machinery and equipment
Property, Plant and Equipment [Line Items]
Useful lives of plant and equipment, minimum	15 years

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- Definition

Amount of accumulated depreciation, depletion and amortization for physical assets used in the normal conduct of business to produce goods and services.

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Amount before accumulated depreciation, depletion and amortization of physical assets used in the normal conduct of business and not intended for resale. Examples include, but are not limited to, land, buildings, machinery and equipment, office equipment, and furniture and fixtures.

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