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Stock-Based Compensation (Details) - USD ($) shares in Millions, $ in Millions	3 Months Ended
	Nov. 25, 2023	Nov. 26, 2022	Dec. 13, 2023
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation	$ 4.6	$ 3.0
Incentive Compensation Plan 2019 | Subsequent Event
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of awards issued under the plan (in shares)			2.4

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