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Income Taxes - Narrative (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Feb. 26, 2022
Feb. 27, 2021
Feb. 26, 2022
Feb. 27, 2021
Income Tax Disclosure [Abstract]        
Effective income tax rate 19.00% 22.70% 22.70% 24.00%
Net decrease in unrecognized tax position     $ 0.7