Segment and Geographic Information, Net Sales, Gross Profit, and Operating Income by Segment (Details) - USD ($) $ in Millions		3 Months Ended								12 Months Ended
		Mar. 31, 2020	Dec. 31, 2019	Sep. 30, 2019	Jun. 30, 2019	Mar. 31, 2019	Dec. 31, 2018	Sep. 30, 2018	Jun. 30, 2018	Mar. 31, 2020	Mar. 31, 2019	Mar. 31, 2018
Net sales, gross profit, operating income and total assets by segment [Abstract]
Net sales		$ 472.9	$ 473.4	$ 500.2	$ 529.0	$ 556.7	$ 541.0	$ 548.9	$ 566.1	$ 1,975.5	$ 2,212.7	$ 2,103.1
Gross profit		$ 74.9	$ 73.5	$ 75.7	$ 83.4	$ 91.6	$ 91.7	$ 87.9	$ 94.3	$ 307.5	$ 365.5	$ 356.5
Gross profit (% of sales)										15.60%	16.50%	17.00%
Operating income										$ 37.9	$ 109.7	$ 92.2
VTS [Member]
Net sales, gross profit, operating income and total assets by segment [Abstract]
Net sales										1,177.2	1,351.7	1,295.7
Strategic review alternatives cost										39.2	7.1
CIS [Member]
Net sales, gross profit, operating income and total assets by segment [Abstract]
Net sales										623.9	707.6	675.7
BHVAC [Member]
Net sales, gross profit, operating income and total assets by segment [Abstract]
Net sales										221.1	212.4	191.2
Total Segments [Member]
Net sales, gross profit, operating income and total assets by segment [Abstract]
Net sales										2,022.2	2,271.7	2,162.6
Operating Segments [Member]
Net sales, gross profit, operating income and total assets by segment [Abstract]
Net sales										1,975.5	2,212.7	2,103.1
Gross profit										$ 309.3	$ 365.2	$ 356.8
Gross profit (% of sales)										15.30%	16.10%	16.50%
Operating income										$ 96.9	$ 145.1	$ 133.0
Operating Segments [Member] | VTS [Member]
Net sales, gross profit, operating income and total assets by segment [Abstract]
Net sales										1,136.0	1,298.9	1,239.3
Gross profit										$ 144.9	$ 186.9	$ 201.0
Gross profit (% of sales)										12.30%	13.80%	15.50%
Operating income										$ 27.6	$ 64.8	$ 84.2
Operating Segments [Member] | CIS [Member]
Net sales, gross profit, operating income and total assets by segment [Abstract]
Net sales										620.1	704.7	674.4
Gross profit										$ 92.9	$ 114.9	$ 97.8
Gross profit (% of sales)										14.90%	16.20%	14.50%
Operating income										$ 32.9	$ 53.4	$ 28.5
Operating Segments [Member] | BHVAC [Member]
Net sales, gross profit, operating income and total assets by segment [Abstract]
Net sales										219.4	209.1	189.4
Gross profit										$ 71.5	$ 63.4	$ 58.0
Gross profit (% of sales)										32.30%	29.90%	30.30%
Operating income										$ 36.4	$ 26.9	$ 20.3
Corporate and Eliminations [Member]
Net sales, gross profit, operating income and total assets by segment [Abstract]
Net sales										(46.7)	(59.0)	(59.5)
Gross profit										$ (1.8)	$ 0.3	$ (0.3)
Gross profit (% of sales)										0.00%	0.00%	0.00%
Operating income	[1]									$ (59.0)	$ (35.4)	$ (40.8)
Inter-segment Sales [Member]
Net sales, gross profit, operating income and total assets by segment [Abstract]
Net sales										46.7	59.0	59.5
Inter-segment Sales [Member] | VTS [Member]
Net sales, gross profit, operating income and total assets by segment [Abstract]
Net sales										41.2	52.8	56.4
Inter-segment Sales [Member] | CIS [Member]
Net sales, gross profit, operating income and total assets by segment [Abstract]
Net sales										3.8	2.9	1.3
Inter-segment Sales [Member] | BHVAC [Member]
Net sales, gross profit, operating income and total assets by segment [Abstract]
Net sales										$ 1.7	$ 3.3	$ 1.8

[1] The operating loss for Corporate includes certain research and development costs, legal, finance and other general corporate and central services expenses, and other costs that are either not directly attributable to an operating segment or not considered when management evaluates segment performance. During fiscal 2020 and 2019, the Company recorded $39.2 million and $7.1 million, respectively, of costs directly associated with its review of strategic alternatives for the VTS segment’s automotive business, including costs to separate and prepare the business for potential sale.