BUSINESS SEGMENTS AND RELATED INFORMATION - Narrative (Details) $ in Millions	3 Months Ended		12 Months Ended
	Aug. 29, 2021 USD ($) segment	Aug. 30, 2020 USD ($)	May 30, 2021
Revenue, Major Customer [Line Items]
Number of reportable segments | segment	4
Cumulative net derivative gains from economic hedges recognized in general corporate expenses	$ 16.7
Net gains incurred	10.2
Net gains incurred in prior fiscal years	6.5
Gains expected to be reclassified in fiscal 2022	15.1
Gains expected to be reclassified in fiscal 2023 and thereafter	1.6
Total depreciation expense	81.6	$ 80.3
Net sales	$ 2,653.3	$ 2,678.9
Customer concentration risk | Wal-Mart Stores, Inc. and affiliates | Net sales
Revenue, Major Customer [Line Items]
Concentration risk (as a percent)	26.00%	25.00%
Customer concentration risk | Wal-Mart Stores, Inc. and affiliates | Net receivables
Revenue, Major Customer [Line Items]
Concentration risk (as a percent)	32.00%		31.00%
Customer concentration risk | Kroger Co. and affiliates | Net receivables
Revenue, Major Customer [Line Items]
Concentration risk (as a percent)	10.00%		11.00%
Non-US
Revenue, Major Customer [Line Items]
Net sales	$ 243.3	$ 224.7