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Income Taxes - Income Taxes Additional Information (Detail) - USD ($)
3 Months Ended 12 Months Ended
Jul. 31, 2015
Jan. 31, 2016
Jan. 31, 2015
Jan. 31, 2014
Jan. 31, 2013
Income Taxes [Line Items]          
Effective Income Tax Rate Reconciliation, Change in Deferred Tax Assets Valuation Allowance, Amount   $ 345,000,000 $ 2,900,000 $ 2,100,000  
Deferred Tax Assets, Tax Deferred Expense, Compensation and Benefits, Employee Benefits   233,800,000      
Income (Loss) from Continuing Operations before Income Taxes, Foreign   218,200,000 302,500,000 380,500,000  
Valuation Allowance, Deferred Tax Asset, Change in Amount   327,200,000 3,600,000 15,900,000  
Deferred Tax Liability Not Recognized, Cumulative Amount of Temporary Difference   1,942,200,000      
Deferred Tax Liability Not Recognized, Amount of Unrecognized Deferred Tax Liability   544,300,000      
Deferred income taxes, net   9,200,000 100,000,000    
Net deferred tax assets     185,100,000    
Foreign Income Tax Expense (Benefit), Continuing Operations   0 $ 1,200,000 $ 9,700,000  
Income Tax Holiday, Income Tax Benefits Per Share     $ 0.01 $ 0.04  
Current Foreign Tax Expense (Benefit)   68,400,000 $ 69,500,000 $ 63,900,000  
Gross unrecognized tax benefits   254,300,000 245,800,000 222,100,000 $ 212,700,000
Amount of gross unrecognized tax benefits that would impact the effective tax rate, if recognized   236,800,000      
Unrecognized Tax Benefits, Income Tax Penalties and Interest Accrued   3,300,000 $ 2,000,000 $ 2,800,000  
Domestic Country          
Income Taxes [Line Items]          
Operating Loss Carryforwards   222,700,000      
Domestic Country | Research Tax Credit Carryforward          
Income Taxes [Line Items]          
Tax Credit Carryforward, Amount   116,200,000      
State and Local Jurisdiction          
Income Taxes [Line Items]          
Operating Loss Carryforwards   258,900,000      
State and Local Jurisdiction | Research Tax Credit Carryforward          
Income Taxes [Line Items]          
Tax Credit Carryforward, Amount   60,900,000      
State and Local Jurisdiction and the Internal Revenue Service          
Income Taxes [Line Items]          
Valuation Allowance, Deferred Tax Asset, Change in Amount $ 230,800,000        
Deferred Tax Assets, Capital Loss Carryforwards   6,800,000      
Foreign Country          
Income Taxes [Line Items]          
Deferred income taxes, net   9,200,000      
Operating Loss Carryforwards   6,000,000      
Tax Credit Carryforward, Amount   185,400,000      
Foreign Country | Canada          
Income Taxes [Line Items]          
Tax Credit Carryforward, Amount   $ 50,400,000