Goodwill and Other Intangible Assets, Net - Schedule of Other Intangible Assets (Details) - USD ($) $ in Millions	12 Months Ended
	Jun. 30, 2021	Jun. 30, 2020
Other intangible assets
Gross Carrying Amount	$ 115.7	$ 129.3
Accumulated Amortization	(72.6)	(69.9)
Impairment of intangible assets		(7.3)
Other intangibles, net	43.1	52.1
Trademarks and trade names
Other intangible assets
Gross Carrying Amount	29.9	33.5
Accumulated Amortization	(24.3)	(25.4)
Impairment of intangible assets		(1.5)
Other intangibles, net	$ 5.6	6.6
Trademarks and trade names | Minimum
Other intangible assets
Useful Life (in Years)	15 years
Trademarks and trade names | Maximum
Other intangible assets
Useful Life (in Years)	30 years
Customer relationships
Other intangible assets
Gross Carrying Amount	$ 70.8	76.9
Accumulated Amortization	(44.1)	(41.2)
Impairment of intangible assets		(1.2)
Other intangibles, net	$ 26.7	34.5
Customer relationships | Minimum
Other intangible assets
Useful Life (in Years)	10 years
Customer relationships | Maximum
Other intangible assets
Useful Life (in Years)	15 years
Non-compete agreements
Other intangible assets
Useful Life (in Years)	5 years
Gross Carrying Amount	$ 0.0	0.2
Accumulated Amortization	0.0	(0.1)
Impairment of intangible assets		(0.1)
Other intangibles, net	0.0	0.0
Technology
Other intangible assets
Gross Carrying Amount	3.6	7.3
Accumulated Amortization	(2.8)	(1.5)
Impairment of intangible assets		(4.5)
Other intangibles, net	$ 0.8	1.3
Technology | Minimum
Other intangible assets
Useful Life (in Years)	10 years
Technology | Maximum
Other intangible assets
Useful Life (in Years)	15 years
Patents
Other intangible assets
Gross Carrying Amount	$ 11.4	11.4
Accumulated Amortization	(1.4)	(1.7)
Impairment of intangible assets		0.0
Other intangibles, net	$ 10.0	$ 9.7
Patents | Minimum
Other intangible assets
Useful Life (in Years)	14 years
Patents | Maximum
Other intangible assets
Useful Life (in Years)	20 years