BUSINESS SEGMENTS AND RELATED INFORMATION - Narrative (Details) $ in Millions	3 Months Ended		12 Months Ended
	Aug. 30, 2020 USD ($) segment	Aug. 25, 2019 USD ($)	May 31, 2020 USD ($)
Revenue, Major Customer [Line Items]
Number of reportable segments | segment	4
Cumulative net derivative losses from economic hedges recognized in general corporate expenses	$ 6.6
Net losses incurred	3.5
Net losses incurred in prior fiscal years			$ 3.1
Losses expected to be reclassified in fiscal 2021	3.9
Losses expected to be reclassified in fiscal 2022 and thereafter	2.7
Total depreciation expense	80.3	$ 81.7
Net sales	2,678.9	$ 2,390.7
Accounts payable to suppliers who utilize third-party service	$ 269.2		$ 258.7
Customer concentration risk | Wal-Mart Stores, Inc. and affiliates | Net sales
Revenue, Major Customer [Line Items]
Concentration risk (as a percent)	25.00%	26.00%
Customer concentration risk | Wal-Mart Stores, Inc. and affiliates | Net receivables
Revenue, Major Customer [Line Items]
Concentration risk (as a percent)	33.00%		30.00%
Customer concentration risk | Kroger Co. and affiliates | Net receivables
Revenue, Major Customer [Line Items]
Concentration risk (as a percent)	11.00%		10.00%
Non-US
Revenue, Major Customer [Line Items]
Net sales	$ 224.7	$ 211.7