Income Taxes (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Feb. 27, 2022	Feb. 28, 2021	Feb. 27, 2022	Feb. 28, 2021
Income Tax Disclosure [Abstract]
Effective income tax rate (percentage)	12.50%	2.30%	13.10%	2.60%
Income tax expense	$ 35.4	$ 3.1	$ 101.2	$ 7.1
Tax position, change is reasonably possible in the next twelve months	$ 4.8		$ 4.8