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Recently Issued Accounting Pronouncements - Topic 606 (Details) - USD ($)
$ in Millions
 3 Months Ended 6 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2018
Sep. 30, 2017
Apr. 01, 2018
Mar. 31, 2018
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]            
Net sales $ 1,432.5 $ 1,012.1 $ 2,644.9 $ 1,984.3    
Cost of Sales 743.2 398.0 [1] 1,313.6 785.8 [1]    
Gross Profit 689.3 614.1 1,331.3 1,198.5    
Income tax benefit (135.7) (3.0) (133.7) (7.3)    
Net income 96.3 $ 189.2 132.0 $ 359.7    
Accounts receivable, net 668.8   668.8   $ 518.1 $ 563.7
Inventories 836.7   836.7   471.1 476.2
Other current assets 206.5   206.5   137.0 119.8
Long-term deferred tax assets 1,715.5   1,715.5   1,656.5 100.2
Accrued liabilities 481.9   481.9   248.1 229.6
Deferred income on shipments to distributors 0.0   0.0   0.0 333.8
Long-term deferred tax liability 815.4   815.4   221.5 205.8
Retained earnings 3,159.6   3,159.6   $ 3,199.0 1,397.3
Accounting Standards Update 2014-09            
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]            
Accounts receivable, net           (45.6)
Inventories           (5.1)
Other current assets           17.2
Long-term deferred tax assets           (23.1)
Accrued liabilities           18.5
Deferred income on shipments to distributors           (333.8)
Long-term deferred tax liability           16.8
Retained earnings           $ 241.9
Calculated under Revenue Guidance in Effect before Topic 606            
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]            
Net sales 1,437.6   2,647.5      
Cost of Sales 747.6   1,319.2      
Gross Profit 690.0   1,328.3      
Income tax benefit (133.0)   (133.3)      
Net income 94.3   128.6      
Accounts receivable, net 706.3   706.3      
Inventories 841.8   841.8      
Other current assets 188.1   188.1      
Long-term deferred tax assets 1,739.3   1,739.3      
Accrued liabilities 458.6   458.6      
Deferred income on shipments to distributors 332.4   332.4      
Long-term deferred tax liability 798.6   798.6      
Retained earnings 2,915.3   2,915.3      
Difference between Revenue Guidance in Effect before and after Topic 606 | Accounting Standards Update 2014-09            
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]            
Net sales (5.1)   (2.6)      
Cost of Sales (4.4)   (5.6)      
Gross Profit (0.7)   3.0      
Income tax benefit (2.7)   (0.4)      
Net income 2.0   3.4      
Accounts receivable, net (37.5)   (37.5)      
Inventories (5.1)   (5.1)      
Other current assets 18.4   18.4      
Long-term deferred tax assets (23.8)   (23.8)      
Accrued liabilities 23.3   23.3      
Deferred income on shipments to distributors (332.4)   (332.4)      
Long-term deferred tax liability 16.8   16.8      
Retained earnings $ 244.3   $ 244.3      
[1] (1) Includes share-based compensation expense as follows: Cost of sales$3.9 $3.7 $7.5 $7.1Research and development$19.7 $10.6 $33.8 $20.9Selling, general and administrative$17.8 $9.3 $29.5 $18.0Special charges and other, net$1.2 $— $17.1 $—