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Segment Information (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Dec. 31, 2021
Dec. 31, 2020
Dec. 31, 2021
Dec. 31, 2020
Mar. 31, 2021
Segment Information [Abstract]          
Net sales $ 502.2 $ 484.3 $ 1,475.7 $ 1,293.5  
Gross profit $ 74.6 $ 82.7 $ 214.1 $ 209.6  
Gross profit (% of sales) 14.90% 17.10% 14.50% 16.20%  
Operating income (loss) $ 79.4 $ (108.7) $ 98.6 $ (83.4)  
Total assets 1,381.4   1,381.4   $ 1,276.7
BHVAC [Member]          
Segment Information [Abstract]          
Net sales 90.6 73.7 234.7 196.3  
CIS [Member]          
Segment Information [Abstract]          
Net sales 148.6 124.9 456.2 369.6  
HDE [Member]          
Segment Information [Abstract]          
Net sales 200.8 185.6 598.4 474.7  
Automotive [Member]          
Segment Information [Abstract]          
Net sales 72.4 113.9 224.0 285.9  
Segment Total [Member]          
Segment Information [Abstract]          
Net sales 512.4 498.1 1,513.3 1,326.5  
Operating Segments [Member]          
Segment Information [Abstract]          
Net sales 502.2 484.3 1,475.7 1,293.5  
Gross profit $ 74.8 $ 82.7 $ 213.0 $ 210.0  
Gross profit (% of sales) 14.60% 16.60% 14.10% 15.80%  
Operating income (loss) $ 83.1 $ (97.9) $ 125.4 $ (57.1)  
Operating Segments [Member] | BHVAC [Member]          
Segment Information [Abstract]          
Net sales 90.3 73.5 233.1 195.6  
Gross profit $ 27.4 $ 25.4 $ 65.2 $ 64.5  
Gross profit (% of sales) 30.30% 34.50% 27.80% 32.90%  
Operating income (loss) $ 14.4 $ 14.9 $ 30.1 $ 35.6  
Total assets 213.6   213.6   181.1
Operating Segments [Member] | CIS [Member]          
Segment Information [Abstract]          
Net sales 146.9 123.5 450.3 365.2  
Gross profit $ 17.7 $ 12.9 $ 56.8 $ 44.8  
Gross profit (% of sales) 11.90% 10.30% 12.50% 12.10%  
Operating income (loss) $ 3.4 $ (0.7) $ 16.7 $ 4.4  
Total assets 520.7   520.7   540.1
Operating Segments [Member] | HDE [Member]          
Segment Information [Abstract]          
Net sales 193.3 173.7 571.0 449.6  
Gross profit $ 22.2 $ 26.0 $ 63.1 $ 60.9  
Gross profit (% of sales) 11.10% 14.00% 10.50% 12.80%  
Operating income (loss) $ 10.3 $ 12.8 $ 25.0 $ 23.6  
Total assets 473.7   473.7   438.7
Operating Segments [Member] | Automotive [Member]          
Segment Information [Abstract]          
Net sales 71.7 113.6 221.3 283.1  
Gross profit $ 7.5 $ 18.4 $ 27.9 $ 39.8  
Gross profit (% of sales) 10.40% 16.10% 12.40% 13.90%  
Operating income (loss) $ 55.0 $ (124.9) $ 53.6 $ (120.7)  
Total assets 181.6   181.6   124.2
Inter-segment Sales [Member]          
Segment Information [Abstract]          
Net sales 10.2 13.8 37.6 33.0  
Inter-segment Sales [Member] | BHVAC [Member]          
Segment Information [Abstract]          
Net sales 0.3 0.2 1.6 0.7  
Inter-segment Sales [Member] | CIS [Member]          
Segment Information [Abstract]          
Net sales 1.7 1.4 5.9 4.4  
Inter-segment Sales [Member] | HDE [Member]          
Segment Information [Abstract]          
Net sales 7.5 11.9 27.4 25.1  
Inter-segment Sales [Member] | Automotive [Member]          
Segment Information [Abstract]          
Net sales 0.7 0.3 2.7 2.8  
Corporate and Eliminations [Member]          
Segment Information [Abstract]          
Net sales (10.2) (13.8) (37.6) (33.0)  
Gross profit $ (0.2) $ 0.0 $ 1.1 $ (0.4)  
Gross profit (% of sales) 0.00% 0.00% 0.00% 0.00%  
Operating income (loss) $ (3.7) $ (10.8) $ (26.8) $ (26.3)  
Total assets [1] (8.2)   (8.2)   (7.4)
Corporate [Member]          
Segment Information [Abstract]          
Total assets $ 21.4   $ 21.4   $ 17.5
[1] At December 31, 2021 and March 31, 2021, Corporate assets totaled $21.4 million and $17.5 million, respectively and were more than offset by eliminations for intercompany balances, including accounts receivable.