RESTRUCTURING ACTIVITIES - Schedule of Liabilities Recorded for the SCAE Plan (Details) - SCAE Plan $ in Millions	6 Months Ended
	Nov. 27, 2016 USD ($)
Restructuring Cost and Reserve
Beginning balance	$ 99.4
Costs Incurred and Charged to Expense	26.7
Costs Paid or Otherwise Settled	(56.9)
Changes in Estimates	(3.0)
Ending balance	66.2
Multi-employer pension costs
Restructuring Cost and Reserve
Beginning balance	40.7
Costs Incurred and Charged to Expense	0.0
Costs Paid or Otherwise Settled	(10.9)
Changes in Estimates	0.0
Ending balance	29.8
Severance
Restructuring Cost and Reserve
Beginning balance	47.2
Costs Incurred and Charged to Expense	6.5
Costs Paid or Otherwise Settled	(31.3)
Changes in Estimates	(1.7)
Ending balance	20.7
Consulting
Restructuring Cost and Reserve
Beginning balance	4.7
Costs Incurred and Charged to Expense	0.3
Costs Paid or Otherwise Settled	(4.6)
Changes in Estimates	0.0
Ending balance	0.4
Contract termination
Restructuring Cost and Reserve
Beginning balance	6.3
Costs Incurred and Charged to Expense	11.4
Costs Paid or Otherwise Settled	(2.2)
Changes in Estimates	(1.3)
Ending balance	14.2
Other costs
Restructuring Cost and Reserve
Beginning balance	0.5
Costs Incurred and Charged to Expense	8.5
Costs Paid or Otherwise Settled	(7.9)
Changes in Estimates	0.0
Ending balance	$ 1.1