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Significant Accounting Policies - Schedule of Other Current Liabilities (Details) - USD ($) $ in Millions	Aug. 31, 2022	Aug. 31, 2021
Other Current Liabilities [Line Items]
Customer incentive programs	$ 40.7	$ 33.9
Refunds to customers	28.0	28.1
Current deferred revenues	11.4	7.7
Sales commissions	41.9	28.9
Freight costs	22.8	17.6
Warranty and recall costs	22.4	16.8
Tax-related items	13.9	11.7
Interest on long-term debt	2.3	2.4
Other	30.7	42.4
Total other current liabilities	214.1	189.5
Customers with Rights of Return, Cash Discounts and Other Credits
Other Current Liabilities [Line Items]
Refunds to customers	$ 28.0	$ 28.1

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