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GOODWILL AND OTHER IDENTIFIABLE INTANGIBLE ASSETS - Narrative (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Nov. 28, 2021
Nov. 29, 2020
Nov. 28, 2021
Nov. 29, 2020
Goodwill And Intangible Assets Disclosure [Abstract]        
Remaining weighted average life of amortizing intangible assets     19 years  
Amortization expense $ 14.8 $ 15.0 $ 29.7 $ 29.9
Average amortization annual expense in year one 51.8   51.8  
Average amortization annual expense in year two 51.8   51.8  
Average amortization annual expense in year three 51.8   51.8  
Average amortization annual expense in year four 51.8   51.8  
Average amortization annual expense in year five $ 51.8   $ 51.8