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Geographic and Segment Information - Long-Lived Assets and Concentration Risk (Details) - USD ($)
$ in Millions
12 Months Ended
Mar. 31, 2020
Mar. 31, 2019
Mar. 31, 2018
Segment Reporting Information [Line Items]      
Total long-lived assets $ 995.6 $ 996.7  
ROU assets 119.5    
United States      
Segment Reporting Information [Line Items]      
Total long-lived assets 515.0 521.1  
Thailand      
Segment Reporting Information [Line Items]      
Total long-lived assets 174.4 209.3  
Various other countries      
Segment Reporting Information [Line Items]      
Total long-lived assets $ 306.2 $ 266.3  
Located outside US, in aggregate | Sales | Geographic Concentration Risk      
Segment Reporting Information [Line Items]      
Percentage of net sales to unaffiliated customers 78.00% 80.00% 85.00%
Located outside US, in aggregate | Sales | Customer Concentration Risk      
Segment Reporting Information [Line Items]      
Percentage of net sales to unaffiliated customers 10.00% 10.00%  
Europe | Sales | Geographic Concentration Risk      
Segment Reporting Information [Line Items]      
Percentage of net sales to unaffiliated customers 22.00% 23.00% 24.00%
Asia | Sales | Geographic Concentration Risk      
Segment Reporting Information [Line Items]      
Percentage of net sales to unaffiliated customers 52.00% 52.00% 58.00%
China | Sales | Geographic Concentration Risk      
Segment Reporting Information [Line Items]      
Percentage of net sales to unaffiliated customers 21.00% 22.00% 30.00%
Taiwan | Sales | Geographic Concentration Risk      
Segment Reporting Information [Line Items]      
Percentage of net sales to unaffiliated customers 15.00% 13.00% 11.00%