Segment and Geographic Information, Capital Expenditures and Depreciation and Amortization Expense by Segment (Details) - USD ($) $ in Millions		12 Months Ended
		Mar. 31, 2022	Mar. 31, 2021	Mar. 31, 2020
Segment and Geographic Information [Abstract]
Capital expenditures		$ 40.3	$ 32.7	$ 71.3
Depreciation and amortization		54.8	68.6	77.1
Operating Segments [Member] | BHVAC [Member]
Segment and Geographic Information [Abstract]
Capital expenditures		6.0	1.8	4.5
Depreciation and amortization		5.9	5.5	6.2
Operating Segments [Member] | CIS [Member]
Segment and Geographic Information [Abstract]
Capital expenditures		4.9	5.8	13.6
Depreciation and amortization		20.5	22.6	21.2
Operating Segments [Member] | HDE [Member]
Segment and Geographic Information [Abstract]
Capital expenditures		15.4	13.5	31.5
Depreciation and amortization		23.4	25.5	25.4
Operating Segments [Member] | Automotive [Member]
Segment and Geographic Information [Abstract]
Capital expenditures		12.8	11.1	19.1
Depreciation and amortization	[1]	3.4	13.2	22.3
Corporate [Member]
Segment and Geographic Information [Abstract]
Capital expenditures		1.2	0.5	2.6
Depreciation and amortization		$ 1.6	$ 1.8	$ 2.0

[1] During fiscal 2021, upon classifying the liquid- and air-cooled automotive businesses as held for sale, the Company ceased depreciating the long-lived assets within the disposal groups.  In fiscal 2022, the Company resumed depreciating the long-lived assets within the liquid-cooled automotive business when it no longer met the requirements to be classified as held for sale.  See Note 2 for additional information.