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Income Taxes - Narrative (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Feb. 25, 2023
Feb. 26, 2022
Feb. 25, 2023
Feb. 26, 2022
Income Tax Disclosure [Abstract]        
Effective income tax rate 24.60% 19.00% 25.00% 22.70%
Certain tax reserves $ 1.2   $ 1.2  
Net increase in unrecognized tax position     $ 0.1