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Significant Accounting Policies - Schedule of Other Current Liabilities (Details) - USD ($) $ in Millions	Aug. 31, 2023	Aug. 31, 2022
Other Current Liabilities [Line Items]
Customer incentive programs	$ 31.6	$ 40.7
Refunds to customers	25.6	28.0
Current deferred revenues	14.1	11.4
Sales commissions	35.7	41.9
Freight costs	15.0	22.8
Warranty and recall costs	22.8	22.4
Tax-related items	9.2	13.9
Interest on long-term debt	2.3	2.3
Other	30.4	30.7
Total other current liabilities	186.7	214.1
Customers with Rights of Return, Cash Discounts and Other Credits
Other Current Liabilities [Line Items]
Refunds to customers	$ 25.6	$ 28.0

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