Reclassifications from Accumulated Other Comprehensive Loss - Schedule of Changes in AOCI by Component, Net of Tax (Details) - USD ($) $ in Millions	12 Months Ended
	Jun. 30, 2023	Jun. 30, 2022
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balances, beginning of period	$ 1,330.5	$ 1,392.3
Other comprehensive (loss) income before reclassifications	31.8	36.1
Amounts reclassified from AOCI	(1.3)	(17.3)
Net current-period other comprehensive income (loss)	30.5	18.8
Balances, end of period	1,396.1	1,330.5
Accumulated Other Comprehensive (Loss) Income
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balances, beginning of period	(173.5)	(192.3)
Balances, end of period	(143.0)	(173.5)
Cash flow hedging items
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balances, beginning of period	5.5	6.9
Other comprehensive (loss) income before reclassifications	(6.7)	20.4
Amounts reclassified from AOCI	(5.8)	(21.8)
Net current-period other comprehensive income (loss)	(12.5)	(1.4)
Balances, end of period	(7.0)	5.5
Pension and other postretirement benefit plan items
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balances, beginning of period	(132.9)	(159.1)
Other comprehensive (loss) income before reclassifications	32.9	21.7
Amounts reclassified from AOCI	4.5	4.5
Net current-period other comprehensive income (loss)	37.4	26.2
Balances, end of period	(95.5)	(132.9)
Foreign currency items
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balances, beginning of period	(46.1)	(40.1)
Other comprehensive (loss) income before reclassifications	5.6	(6.0)
Amounts reclassified from AOCI	0.0	0.0
Net current-period other comprehensive income (loss)	5.6	(6.0)
Balances, end of period	$ (40.5)	$ (46.1)