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Income Taxes - Narrative (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
May 30, 2020
May 25, 2019
May 30, 2020
May 25, 2019
Income Tax Disclosure [Abstract]        
Effective income tax rate 21.80% 23.50% 22.80% 24.80%
Discrete tax benefit due to exercise of stock appreciation rights $ 0.5   $ 1.9  
Discrete tax benefit resulting from release of tax reserves 0.4   1.8  
Decrease in unrecognized tax benefits of due to release of tax reserves $ 0.4   $ 1.8