STOCKHOLDERS' EQUITY - Changes in AOCI (Details) $ in Millions	6 Months Ended
	Nov. 24, 2019 USD ($)
Changes in AOCI:
Balance at the beginning of the period	$ (4.6)
Balance at the end of the period	201.1
Accumulated Other Comprehensive Loss
Changes in AOCI:
Balance at the beginning of the period	(25.3)
Other comprehensive income before reclassifications, net of tax	(8.5)
Amounts reclassified out of AOCI, net of tax	0.3
Net current-period other comprehensive income (loss)	(8.2)
Balance at the end of the period	(33.5)
Foreign Currency Translation Gains (Losses)
Changes in AOCI:
Balance at the beginning of the period	(20.3)
Other comprehensive income before reclassifications, net of tax	(8.5)
Net current-period other comprehensive income (loss)	(8.5)
Balance at the end of the period	(28.8)
Pension and Post-Retirement Benefits
Changes in AOCI:
Balance at the beginning of the period	(5.0)
Amounts reclassified out of AOCI, net of tax	0.3
Net current-period other comprehensive income (loss)	0.3
Balance at the end of the period	$ (4.7)