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Segment Information (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Dec. 31, 2019	Dec. 31, 2018	Dec. 31, 2019	Dec. 31, 2018	Mar. 31, 2019
Segment Reporting Information [Abstract]
Net sales	$ 473.4	$ 541.0	$ 1,502.6	$ 1,656.0
Gross profit	$ 73.5	$ 91.7	$ 232.6	$ 273.9
Gross profit (% of sales)	15.50%	16.90%	15.50%	16.50%
Operating income	$ 8.2	$ 33.6	$ 32.3	$ 91.2
Total assets	1,535.2		1,535.2		$ 1,538.0	[1]
Operating lease assets	64.3		64.3		61.3
VTS [Member]
Segment Reporting Information [Abstract]
Net sales	271.9	323.3	897.7	1,011.7
CIS [Member]
Segment Reporting Information [Abstract]
Net sales	147.5	167.0	473.0	529.1
BHVAC [Member]
Segment Reporting Information [Abstract]
Net sales	64.9	64.2	169.9	159.9
Total Segments [Member]
Segment Reporting Information [Abstract]
Net sales	484.3	554.5	1,540.6	1,700.7
Operating Segments [Member]
Segment Reporting Information [Abstract]
Net sales	473.4	541.0	1,502.6	1,656.0
Gross profit	$ 74.7	$ 91.6	$ 233.6	$ 273.7
Gross profit (% of sales)	15.40%	16.50%	15.20%	16.10%
Operating income	$ 26.1	$ 41.6	$ 82.4	$ 115.3
Operating Segments [Member] | VTS [Member]
Segment Reporting Information [Abstract]
Net sales	262.8	311.5	864.2	971.3
Gross profit	$ 28.9	$ 41.4	$ 109.2	$ 140.0
Gross profit (% of sales)	10.60%	12.80%	12.20%	13.80%
Operating income	$ 4.3	$ 15.5	$ 29.0	$ 55.1
Total assets	716.1		716.1		749.9	[1]
Operating Segments [Member] | CIS [Member]
Segment Reporting Information [Abstract]
Net sales	146.3	166.1	469.9	527.0
Gross profit	$ 22.7	$ 28.2	$ 69.9	$ 85.1
Gross profit (% of sales)	15.40%	16.90%	14.80%	16.10%
Operating income	$ 8.3	$ 13.1	$ 25.8	$ 39.2
Total assets	623.3		623.3		604.2	[1]
Operating Segments [Member] | BHVAC [Member]
Segment Reporting Information [Abstract]
Net sales	64.3	63.4	168.5	157.7
Gross profit	$ 23.1	$ 22.0	$ 54.5	$ 48.6
Gross profit (% of sales)	35.50%	34.30%	32.10%	30.40%
Operating income	$ 13.5	$ 13.0	$ 27.6	$ 21.0
Total assets	103.4		103.4		89.4	[1]
Corporate and Eliminations [Member]
Segment Reporting Information [Abstract]
Net sales	(10.9)	(13.5)	(38.0)	(44.7)
Gross profit	$ (1.2)	$ 0.1	$ (1.0)	$ 0.2
Gross profit (% of sales)	0.00%	0.00%	0.00%	0.00%
Operating income	$ (17.9)	$ (8.0)	$ (50.1)	$ (24.1)
Total assets	92.4		92.4		$ 94.5	[1]
Inter-segment Sales [Member]
Segment Reporting Information [Abstract]
Net sales	10.9	13.5	38.0	44.7
Inter-segment Sales [Member] | VTS [Member]
Segment Reporting Information [Abstract]
Net sales	9.1	11.8	33.5	40.4
Inter-segment Sales [Member] | CIS [Member]
Segment Reporting Information [Abstract]
Net sales	1.2	0.9	3.1	2.1
Inter-segment Sales [Member] | BHVAC [Member]
Segment Reporting Information [Abstract]
Net sales	$ 0.6	$ 0.8	$ 1.4	$ 2.2
[1] The Company adopted new lease accounting guidance and, as a result, recorded $61.3 million of operating lease assets on its consolidated balance sheet on April 1, 2019.  See Note 1 for additional information.

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