Income Taxes (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Nov. 28, 2021	Nov. 29, 2020	Nov. 28, 2021	Nov. 29, 2020
Income Tax Disclosure [Abstract]
Effective income tax rate (percentage)	14.40%	8.30%	13.40%	2.90%
Income tax expense	$ 32.5	$ 8.8	$ 65.8	$ 4.0
Tax position, change is reasonably possible in the next twelve months	$ 34.1		$ 34.1