STOCKHOLDERS' EQUITY - Changes in AOCI (Details) $ in Millions	9 Months Ended
	Feb. 27, 2022 USD ($)
Changes in AOCI:
Balance at the beginning of the period	$ 480.6
Balance at the end of the period	392.3
Accumulated Other Comprehensive Income (Loss)
Changes in AOCI:
Balance at the beginning of the period	29.5
Other comprehensive income before reclassifications, net of tax	(37.2)
Amounts reclassified out of AOCI, net of tax	0.3
Net current-period other comprehensive income (loss)	(36.9)
Balance at the end of the period	(7.4)
Foreign Currency Translation Gains (Losses)
Changes in AOCI:
Balance at the beginning of the period	36.0
Other comprehensive income before reclassifications, net of tax	(37.5)
Net current-period other comprehensive income (loss)	(37.5)
Balance at the end of the period	(1.5)
Pension and Post-Retirement Benefits
Changes in AOCI:
Balance at the beginning of the period	(6.5)
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	(6.2)
Other
Changes in AOCI:
Other comprehensive income before reclassifications, net of tax	0.3
Net current-period other comprehensive income (loss)	0.3
Balance at the end of the period	$ 0.3