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Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Nov. 27, 2022
Nov. 28, 2021
Nov. 27, 2022
Nov. 28, 2021
Income Tax Disclosure [Abstract]        
Effective income tax rate 12.10% 14.40% 13.00% 13.40%
Tax position, change is reasonably possible in the next twelve months $ 7.9   $ 7.9