GOODWILL AND OTHER IDENTIFIABLE INTANGIBLE ASSETS - Intangible Assets (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Feb. 25, 2024	Feb. 26, 2023	Feb. 25, 2024	Feb. 26, 2023	May 28, 2023
Goodwill and Intangible Assets Disclosure [Abstract]
Weighted Average Useful Life (in years)	13 years		13 years		14 years
Non-amortizing intangible assets	$ 18.0		$ 18.0		$ 18.0
Amortizing intangible assets, gross	123.2		123.2		121.4
Accumulated amortization	(34.8)		(34.8)		(29.2)
Other identifiable intangible assets, gross	141.2		141.2		139.4
Amortizing intangible assets, net	88.4		88.4		92.2
Other identifiable intangible assets, net	106.4		106.4		$ 110.2
Amortization expense	$ 7.1	$ 1.4	$ 12.4	$ 4.3