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Accounting Pronouncements (Details) - USD ($)
$ in Millions
Mar. 31, 2018
Mar. 31, 2017
Mar. 31, 2016
New Accounting Pronouncements or Change in Accounting Principle [Line Items]      
Adoption of ASU 2016-09, cumulative adjustment     $ 49.6
Increase to other current assets $ 55.9 $ 58.9  
Decrease to inventories (476.2) (417.2)  
Decrease to deferred taxes (105.6) (340.2)  
Increase to retained earnings 1,397.3 $ 1,479.4  
Accounting Standards Update 2016-09, Forfeiture Rate Component, Share-based Payment Award Component | New Accounting Pronouncement, Early Adoption, Effect      
New Accounting Pronouncements or Change in Accounting Principle [Line Items]      
Deferred income tax assets, net     2.3
Accounting Standards Update 2016-09, Excess Tax Benefit Component | New Accounting Pronouncement, Early Adoption, Effect      
New Accounting Pronouncements or Change in Accounting Principle [Line Items]      
Deferred income tax assets, net     47.2
Retained Earnings      
New Accounting Pronouncements or Change in Accounting Principle [Line Items]      
Adoption of ASU 2016-09, cumulative adjustment     47.6
Retained Earnings | Accounting Standards Update 2016-09, Forfeiture Rate Component | New Accounting Pronouncement, Early Adoption, Effect      
New Accounting Pronouncements or Change in Accounting Principle [Line Items]      
Adoption of ASU 2016-09, cumulative adjustment     2.0
Retained Earnings | Accounting Standards Update 2016-09, Forfeiture Rate Component, Share-based Payment Award Component | New Accounting Pronouncement, Early Adoption, Effect      
New Accounting Pronouncements or Change in Accounting Principle [Line Items]      
Adoption of ASU 2016-09, cumulative adjustment     2.3
Retained Earnings | Accounting Standards Update 2016-09, Excess Tax Benefit Component | New Accounting Pronouncement, Early Adoption, Effect      
New Accounting Pronouncements or Change in Accounting Principle [Line Items]      
Adoption of ASU 2016-09, cumulative adjustment     47.2
Retained Earnings | Accounting Standards Update 2016-16 | New Accounting Pronouncement, Early Adoption, Effect      
New Accounting Pronouncements or Change in Accounting Principle [Line Items]      
Adoption of ASU 2016-09, cumulative adjustment 1,600.0    
Additional Paid-in Capital | Accounting Standards Update 2016-09, Forfeiture Rate Component | New Accounting Pronouncement, Early Adoption, Effect      
New Accounting Pronouncements or Change in Accounting Principle [Line Items]      
Adoption of ASU 2016-09, cumulative adjustment     $ (2.0)
Calculated under Revenue Guidance in Effect before Topic 606      
New Accounting Pronouncements or Change in Accounting Principle [Line Items]      
Elimination of deferred revenue 334.0    
Minimum | Difference between Revenue Guidance in Effect before and after Topic 606 | Accounting Standards Update 2014-09      
New Accounting Pronouncements or Change in Accounting Principle [Line Items]      
Decrease to accounts receivable 41.0    
Increase to accrued liabilities 10.0    
Increase to other current assets 14.0    
Decrease to inventories 4.0    
Decrease to deferred taxes 38.0    
Increase to retained earnings 219.0    
Maximum | Difference between Revenue Guidance in Effect before and after Topic 606 | Accounting Standards Update 2014-09      
New Accounting Pronouncements or Change in Accounting Principle [Line Items]      
Decrease to accounts receivable 51.0    
Increase to accrued liabilities 14.0    
Increase to other current assets 18.0    
Decrease to inventories 6.0    
Decrease to deferred taxes 58.0    
Increase to retained earnings $ 259.0