Segment and Geographic Information, Capital Expenditures and Depreciation and Amortization Expense by Segment (Details) - USD ($) $ in Millions	12 Months Ended
	Mar. 31, 2020	Mar. 31, 2019	Mar. 31, 2018
Segment Reporting Information [Abstract]
Total capital expenditures	$ 71.3	$ 73.9	$ 71.0
Total depreciation and amortization expense	77.1	76.9	76.7
Operating Segments [Member] | VTS [Member]
Segment Reporting Information [Abstract]
Total capital expenditures	53.2	56.2	61.4
Total depreciation and amortization expense	49.7	49.5	48.2
Operating Segments [Member] | CIS [Member]
Segment Reporting Information [Abstract]
Total capital expenditures	15.0	16.4	9.0
Total depreciation and amortization expense	24.0	23.9	24.3
Operating Segments [Member] | BHVAC [Member]
Segment Reporting Information [Abstract]
Total capital expenditures	3.1	1.3	0.6
Total depreciation and amortization expense	$ 3.4	$ 3.5	$ 4.2