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Stock-Based Compensation (Details) - USD ($)
shares in Millions, $ in Millions
3 Months Ended 6 Months Ended
Feb. 25, 2023
Feb. 26, 2022
Feb. 25, 2023
Feb. 26, 2022
Dec. 11, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Stock-based compensation $ 3.5 $ 4.2 $ 6.5 $ 6.9  
Incentive Compensation Plan 2019          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Number of awards issued under the plan (in shares)         4.1