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Share-Based Compensation (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2018
Dec. 31, 2017
May 29, 2018
Stock-based compensation expense [Line Items]          
Pre-tax effect of share-based compensation $ 39.6 $ 24.0 $ 127.5 $ 70.0  
Income tax benefit 8.2 6.6 27.3 21.9  
Net income effect of share-based compensation 31.4 17.4 100.2 48.1  
Share-based compensation expense previously capitalized 3.4   10.9    
Cost of sales          
Stock-based compensation expense [Line Items]          
Pre-tax effect of share-based compensation 3.4 3.5 10.9 10.6  
Research and development          
Stock-based compensation expense [Line Items]          
Pre-tax effect of share-based compensation 19.4 10.9 53.2 31.8  
Selling, general and administrative          
Stock-based compensation expense [Line Items]          
Pre-tax effect of share-based compensation 16.6 9.6 46.1 27.6  
Special (income) charges and other, net          
Stock-based compensation expense [Line Items]          
Pre-tax effect of share-based compensation 0.2 0.0 17.3 0.0  
New Accounting Pronouncement, Early Adoption, Effect | Accounting Standards Update 2016-09, Excess Tax Benefit Component          
Stock-based compensation expense [Line Items]          
Income tax benefit 4.1 5.7 13.1 19.8  
Restricted Stock Units (RSUs) | Microsemi Corporation          
Stock-based compensation expense [Line Items]          
Pre-tax effect of share-based compensation     53.5    
Consideration transferred, equity interests issued     175.4    
Compensation cost     53.9    
Compensation cost not yet recognized         $ 121.5
Accelerated compensation cost     17.3    
Inventory          
Stock-based compensation expense [Line Items]          
Share-based compensation expense previously capitalized   3.5   10.6  
Capitalized share-based compensation $ 4.7 $ 3.1 12.6 $ 8.9  
Inventory | Restricted Stock Units (RSUs) | Microsemi Corporation          
Stock-based compensation expense [Line Items]          
Income tax benefit     $ 2.6