STOCKHOLDERS' EQUITY - Accumulated Other Comprehensive Income (Loss) (Details) $ in Millions	9 Months Ended
	Feb. 26, 2023 USD ($)
Changes in AOCI:
Balance at the beginning of the period	$ 360.5
Balance at the end of the period	714.8
Accumulated Other Comprehensive Income (Loss)
Changes in AOCI:
Balance at the beginning of the period	(15.6)
Other comprehensive income (loss) before reclassifications, net of tax	(37.3)
Balance at the end of the period	(52.9)
Foreign Currency Translation Gains (Losses)
Changes in AOCI:
Balance at the beginning of the period	(12.9)
Other comprehensive income (loss) before reclassifications, net of tax	(37.8)
Balance at the end of the period	(50.7)
Pension and Post-Retirement Benefits
Changes in AOCI:
Balance at the beginning of the period	(3.3)
Balance at the end of the period	(3.3)
Other
Changes in AOCI:
Balance at the beginning of the period	0.6
Other comprehensive income (loss) before reclassifications, net of tax	0.5
Balance at the end of the period	$ 1.1