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Segment Information (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2019
Sep. 30, 2018
Mar. 31, 2019
Segment Reporting Information [Abstract]          
Net sales $ 500.2 $ 548.9 $ 1,029.2 $ 1,115.0  
Gross profit $ 75.7 $ 87.9 $ 159.1 $ 182.2  
Gross profit (% of sales) 15.10% 16.00% 15.50% 16.30%  
Operating income $ 6.0 $ 22.8 $ 24.1 $ 57.6  
Total assets 1,564.5   1,564.5   $ 1,538.0 [1]
Operating lease assets 64.7   64.7   61.3
VTS [Member]          
Segment Reporting Information [Abstract]          
Net sales 299.3 335.6 625.8 688.4  
CIS [Member]          
Segment Reporting Information [Abstract]          
Net sales 156.7 178.2 325.5 362.1  
BHVAC [Member]          
Segment Reporting Information [Abstract]          
Net sales 56.0 50.7 105.0 95.7  
Total Segments [Member]          
Segment Reporting Information [Abstract]          
Net sales 512.0 564.5 1,056.3 1,146.2  
Operating Segments [Member]          
Segment Reporting Information [Abstract]          
Net sales 500.2 548.9 1,029.2 1,115.0  
Gross profit $ 75.9 $ 87.9 $ 158.9 $ 182.1  
Gross profit (% of sales) 14.80% 15.60% 15.00% 15.90%  
Operating income $ 24.7 $ 31.8 $ 56.3 $ 73.7  
Operating Segments [Member] | VTS [Member]          
Segment Reporting Information [Abstract]          
Net sales 288.8 321.5 601.4 659.8  
Gross profit $ 35.3 $ 44.6 $ 80.3 $ 98.6  
Gross profit (% of sales) 11.80% 13.30% 12.80% 14.30%  
Operating income $ 7.4 $ 14.1 $ 24.7 $ 39.6  
Total assets 755.3   755.3   749.9 [1]
Operating Segments [Member] | CIS [Member]          
Segment Reporting Information [Abstract]          
Net sales 155.7 177.4 323.6 360.9  
Gross profit $ 22.9 $ 28.3 $ 47.2 $ 56.9  
Gross profit (% of sales) 14.60% 15.90% 14.50% 15.70%  
Operating income $ 8.5 $ 12.9 $ 17.5 $ 26.1  
Total assets 612.8   612.8   604.2 [1]
Operating Segments [Member] | BHVAC [Member]          
Segment Reporting Information [Abstract]          
Net sales 55.7 50.0 104.2 94.3  
Gross profit $ 17.7 $ 15.0 $ 31.4 $ 26.6  
Gross profit (% of sales) 31.70% 29.50% 29.90% 27.80%  
Operating income $ 8.8 $ 4.8 $ 14.1 $ 8.0  
Total assets 103.4   103.4   89.4 [1]
Corporate and Eliminations [Member]          
Segment Reporting Information [Abstract]          
Net sales (11.8) (15.6) (27.1) (31.2)  
Gross profit $ (0.2) $ 0.0 $ 0.2 $ 0.1  
Gross profit (% of sales) 0.00% 0.00% 0.00% 0.00%  
Operating income $ (18.7) $ (9.0) $ (32.2) $ (16.1)  
Total assets 93.0   93.0   $ 94.5 [1]
Inter-segment Sales [Member]          
Segment Reporting Information [Abstract]          
Net sales 11.8 15.6 27.1 31.2  
Inter-segment Sales [Member] | VTS [Member]          
Segment Reporting Information [Abstract]          
Net sales 10.5 14.1 24.4 28.6  
Inter-segment Sales [Member] | CIS [Member]          
Segment Reporting Information [Abstract]          
Net sales 1.0 0.8 1.9 1.2  
Inter-segment Sales [Member] | BHVAC [Member]          
Segment Reporting Information [Abstract]          
Net sales $ 0.3 $ 0.7 $ 0.8 $ 1.4  
[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.