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Summary of Significant Accounting Policies (Narrative) (Details) - USD ($)
 12 Months Ended
Mar. 31, 2019
Mar. 31, 2018
Mar. 31, 2017
Apr. 01, 2019
Apr. 01, 2018
Apr. 01, 2017
Revenue Recognition            
Sales contract with customer term 1 year          
Advertising Costs            
Advertising costs $ 278,200,000 $ 233,700,000 $ 208,700,000      
Inventories            
Inventory liability 14,100,000 12,600,000        
Share-based Compensation Expense            
Cumulative effect adjustment to retained earnings         $ (10,882,000) $ 57,209,000
Gross deferred tax assets 135,309,000 112,646,000        
Valuation allowance 28,375,000 25,148,000        
New Accounting Pronouncements and Changes in Accounting Principles [Abstract]            
Accrued and other current liabilities 433,897,000 281,732,000     404,577,000  
Other current assets 69,116,000 56,362,000     62,557,000  
Accounts receivable, net $ 383,309,000 214,885,000     320,653,000  
Minimum            
Revenue Recognition            
Post-contract customer support revenue recognition period 1 year          
Required customer payment period 30 days          
Concentration of Credit Risk            
Customer payment term 30 days          
Intangible Assets            
Estimated useful life 4 years          
Share-based Compensation Expense            
Product warranty period 1 year          
Maximum            
Revenue Recognition            
Post-contract customer support revenue recognition period 2 years          
Required customer payment period 60 days          
Concentration of Credit Risk            
Customer payment term 60 days          
Intangible Assets            
Estimated useful life 10 years          
Share-based Compensation Expense            
Product warranty period 5 years          
Plant and buildings | Maximum            
Property, Plant and Equipment            
Estimated useful life 25 years          
Equipment | Minimum            
Property, Plant and Equipment            
Estimated useful life 3 years          
Equipment | Maximum            
Property, Plant and Equipment            
Estimated useful life 5 years          
Internal-use software | Minimum            
Property, Plant and Equipment            
Estimated useful life 3 years          
Internal-use software | Maximum            
Property, Plant and Equipment            
Estimated useful life 7 years          
Tooling | Minimum            
Property, Plant and Equipment            
Estimated useful life 6 months          
Tooling | Maximum            
Property, Plant and Equipment            
Estimated useful life 1 year          
Performance-based RSU | Minimum            
Share-based Compensation Expense            
Share based compensation expense recognition period 1 year          
Performance-based RSU | Maximum            
Share-based Compensation Expense            
Share based compensation expense recognition period 3 years          
Market Based RSUs | 2006 Plan            
Share-based Compensation Expense            
Vesting period 3 years          
Accounting Standards Update 2016-09, Excess Tax Benefit Component            
Share-based Compensation Expense            
Gross deferred tax assets           75,200,000
Valuation allowance           18,000,000.0
Retained earnings            
Share-based Compensation Expense            
Cumulative effect adjustment to retained earnings         (10,882,000) 53,912,000
Retained earnings | Accounting Standards Update 2016-09, Forfeiture Rate Component            
Share-based Compensation Expense            
Cumulative effect of change on retained earning           3,300,000
Retained earnings | Accounting Standards Update 2016-09, Excess Tax Benefit Component            
Share-based Compensation Expense            
Cumulative effect adjustment to retained earnings           $ 57,200,000
Operating Expense            
Advertising Costs            
Advertising costs $ 58,800,000 36,700,000 $ 32,200,000      
Calculated under Revenue Guidance in Effect before Topic 606            
New Accounting Pronouncements and Changes in Accounting Principles [Abstract]            
Accrued and other current liabilities 295,126,000 281,732,000        
Other current assets 60,449,000 56,362,000        
Accounts receivable, net $ 260,401,000 214,885,000        
Sales Returns | Accounting Standards Update 2014-09            
New Accounting Pronouncements and Changes in Accounting Principles [Abstract]            
Accrued and other current liabilities   31,400,000        
Other current assets   6,200,000        
Sales Returns | Calculated under Revenue Guidance in Effect before Topic 606            
New Accounting Pronouncements and Changes in Accounting Principles [Abstract]            
Accounts receivable net of sale return allowance   31,400,000        
Reserve for inventory return   11,400,000        
Expected scrap cost   $ 5,200,000        
Scenario, Forecast | Subsequent Event | Minimum            
New Accounting Pronouncements and Changes in Accounting Principles [Abstract]            
Right of use asset       $ 25,000,000    
Operating lease liability       30,000,000    
Scenario, Forecast | Subsequent Event | Maximum            
New Accounting Pronouncements and Changes in Accounting Principles [Abstract]            
Right of use asset       35,000,000    
Operating lease liability       $ 40,000,000    
Balance Sheet Reclassification | Customer Programs | Calculated under Revenue Guidance in Effect before Topic 606            
New Accounting Pronouncements and Changes in Accounting Principles [Abstract]            
Accounts receivable, net         $ 76,700,000