INCOME TAXES - Narrative (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Feb. 27, 2022	Feb. 28, 2021	Feb. 27, 2022	Feb. 28, 2021	May 30, 2021
Income Tax Disclosure [Abstract]
Income tax expense (benefit)	$ 109.9	$ 101.6	$ 263.8	$ 269.0
Effective tax rate	33.40%	26.50%	26.50%	21.30%
Additional income tax expense			$ 25.0
Gross unrecognized tax benefits for uncertain tax positions	$ 54.8		54.8		$ 33.0
Tax positions for which ultimate deductibility is highly certain but timing of such deductibility is uncertain	0.2		0.2		0.8
Related liabilities for gross interest and penalties	7.6		7.6		8.8
Net amount of unrecognized tax benefits that, if recognized, would favorably impact the effective tax rate	49.9		49.9		$ 28.2
Gross unrecognized tax benefits, estimated decrease over the next twelve months (up to)	4.4		4.4
Deferred tax liability	1.2		1.2
Deferred tax liability earnings of foreign subsidiaries	$ 23.6		$ 23.6