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Goodwill - Additional Information (Details) - USD ($) $ in Millions	3 Months Ended	9 Months Ended
	May 31, 2023	May 31, 2023	Aug. 31, 2022
Goodwill [Line Items]
Goodwill	$ 128.3	$ 128.3	$ 127.3
Noncash redemption value of noncontrolling interest	26.3	26.3
Manufacturing
Goodwill [Line Items]
Goodwill	85.3	85.3
Maintenance Services
Goodwill [Line Items]
Goodwill	43.0	43.0
North America | Manufacturing
Goodwill [Line Items]
Goodwill	56.3	56.3
Europe | Manufacturing
Goodwill [Line Items]
Goodwill	$ 29.0	$ 29.0

X

- Definition

Amount after accumulated impairment loss of an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

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Change in noncontrolling interest during the period as a result of a change in the redemption value of redeemable noncontrolling interest.

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