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Stock-Based Compensation (Details) - USD ($) shares in Millions, $ in Millions	3 Months Ended		6 Months Ended
	Feb. 24, 2024	Feb. 25, 2023	Feb. 24, 2024	Feb. 25, 2023	Dec. 14, 2023
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation	$ 3.5	$ 3.5	$ 8.1	$ 6.5
Incentive Compensation Plan 2019
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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