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Segment and Geographic Information, Capital Expenditures and Depreciation and Amortization Expense by Segment (Details) - USD ($)
$ in Millions
12 Months Ended
Mar. 31, 2021
Mar. 31, 2020
Mar. 31, 2019
Segment and Geographic Information [Abstract]      
Capital expenditures $ 32.7 $ 71.3 $ 73.9
Depreciation and amortization 68.6 77.1 76.9
Operating Segments [Member] | BHVAC [Member]      
Segment and Geographic Information [Abstract]      
Capital expenditures 1.5 3.1 1.3
Depreciation and amortization 3.1 3.4 3.5
Operating Segments [Member] | CIS [Member]      
Segment and Geographic Information [Abstract]      
Capital expenditures 6.1 15.0 16.4
Depreciation and amortization 25.0 24.0 23.9
Operating Segments [Member] | HDE [Member]      
Segment and Geographic Information [Abstract]      
Capital expenditures 13.5 31.5 29.4
Depreciation and amortization 25.5 25.4 26.3
Operating Segments [Member] | Automotive [Member]      
Segment and Geographic Information [Abstract]      
Capital expenditures 11.1 19.1 24.9
Depreciation and amortization [1] 13.2 22.3 21.2
Operating Segments [Member] | Corporate [Member]      
Segment and Geographic Information [Abstract]      
Capital expenditures 0.5 2.6 1.9
Depreciation and amortization $ 1.8 $ 2.0 $ 2.0
[1] 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.  See Note 2 for additional information.