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Commitments and Contingencies (Details) $ in Millions		6 Months Ended
	Jan. 25, 2023 former_associate	Feb. 29, 2024 USD ($)	Feb. 28, 2023 USD ($)
Commitments and Contingencies Disclosure [Abstract]
Standard warranty term (in years)		5 years
Movement in Standard Product Warranty Accrual [Roll Forward]
Beginning balance		$ 31.6	$ 27.3
Warranty and recall costs		28.7	19.1
Payments and other deductions		(20.2)	(18.4)
Ending balance		$ 40.1	$ 28.0
Data Security Incidents
Loss Contingencies [Line Items]
Number of former associates that filed a class action lawsuit | former_associate	2

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Standard Product Warranty Period

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Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

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Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 460
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 3
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147482425/460-10-50-3

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
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Number of plaintiffs that have filed claims pertaining to a loss contingency.

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-SubTopic 20
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-Section 50
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A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period.

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Amount as of the balance sheet date of the aggregate standard product warranty liability. Does not include the balance for the extended product warranty liability.

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Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
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Amount of decrease in the standard product warranty accrual from payments made in cash or in kind to satisfy claims under the terms of the standard product warranty. Excludes extended product warranties.

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Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
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Amount of increase in the standard product warranty accrual from warranties issued. Excludes extended product warranties.

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