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Income Taxes - Narrative (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Mar. 31, 2020
Mar. 31, 2019
Mar. 31, 2018
Income Tax Disclosure [Abstract]          
Income tax holiday, aggregate dollar amount $ 22.5 $ 11.1      
Income tax holiday, benefits per share, basic (in dollars per share) $ 0.04 $ 0.04      
Income tax holiday, benefits per share, diluted (in dollars per share) $ 0.04 $ 0.04      
Operating Loss Carryforwards [Line Items]          
Capital loss carryforward $ 9.8 $ 6.3      
Refundable foreign tax credits 0.7        
Tax credits, research activity 79.5        
Tax credits, prior year 0.1        
Tax credits, foreign jurisdictions 42.0        
TCJA expected transition tax on accumulated unrepatriated foreign earnings         $ 290.3
TCJA transition tax on accumulated unrepatriated foreign earnings payable 197.4        
TCJA transition tax on accumulated unrepatriated foreign earnings payable in next 12 months 23.2        
TCJA transition tax for accumulated foreign earnings, percentage of liability payable each year for fiscal 2019 through fiscal 2023         8.00%
TCJA transition tax for accumulated foreign earnings, percentage of liability payable in fiscal 2024         15.00%
TCJA transition tax for accumulated foreign earnings, percentage of liability payable in fiscal 2025         20.00%
TCJA transition tax for accumulated foreign earnings, percentage of liability payable in fiscal 2026         25.00%
Unrecognized tax benefits, income tax penalties accrued 72.7 83.9      
Unrecognized tax benefits, income tax penalties and interest expense 11.2 9.3 $ 13.5    
Unrecognized Tax Benefits 804.1 826.3 $ 757.3 $ 763.4  
Unrecognized tax benefits that would impact effective tax rate 692.3 $ 720.5      
Unrecognized tax benefits, potential decrease 10.0        
Cumulative income tax expense impact of Altera decision 22.2        
Foreign Tax Authority and Federal and State Jurisdiction          
Operating Loss Carryforwards [Line Items]          
Operating loss carryforwards 77.0        
State and Local Jurisdiction          
Operating Loss Carryforwards [Line Items]          
Tax credit carryforward, amount 164.4        
Foreign Tax Authority | Foreign Withholding Tax Credit          
Operating Loss Carryforwards [Line Items]          
Tax credit carryforward, amount $ 19.9