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Significant Accounting Policies - Property, Plant and Equipment (Details) - USD ($) $ in Millions	12 Months Ended
	Aug. 31, 2022	Aug. 31, 2021	Aug. 31, 2020
Property, Plant and Equipment [Line Items]
Depreciation expense	$ 53.8	$ 59.4	$ 59.4
Total property, plant, and equipment, at cost	891.9	845.3
Less: Accumulated depreciation and amortization	(615.4)	(576.2)
Property, plant, and equipment, net	276.5	269.1
Land
Property, Plant and Equipment [Line Items]
Total property, plant, and equipment, at cost	22.0	22.4
Buildings and leasehold improvements
Property, Plant and Equipment [Line Items]
Total property, plant, and equipment, at cost	202.3	198.0
Machinery and equipment
Property, Plant and Equipment [Line Items]
Total property, plant, and equipment, at cost	$ 667.6	$ 624.9
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

X

- Definition

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

+ References

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The amount of expense recognized in the current period that reflects the allocation of the cost of tangible assets over the assets' useful lives. Includes production and non-production related depreciation.

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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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Useful life of long lived, physical assets used in the normal conduct of business and not intended for resale, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days. Examples include, but not limited to, land, buildings, machinery and equipment, office equipment, furniture and fixtures, and computer equipment.

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