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Income Taxes (Narrative) (Details)
3 Months Ended 12 Months Ended
Jan. 03, 2015
USD ($)
Sep. 30, 2015
USD ($)
Sep. 30, 2014
USD ($)
foreign_subsidiary
Sep. 30, 2013
USD ($)
Sep. 30, 2012
USD ($)
Income Tax Disclosure [Line Items]          
Effective income tax rate   (79.00%) 14.00% (14.00%)  
Income before income taxes   $ 26,525,000 $ 186,112,000 $ 126,234,000  
Statutory federal income tax rate   35.00% 35.00% 35.00%  
Effective Income Tax Rate Reconciliation, Other Adjustments, Amount   $ (24,000,000)      
Effective Income Tax Rate Reconciliation, Nondeductible Expense, Other, Amount   14,500,000      
Pension valuation allowance   (18,700,000)      
Deferred Other Tax Expense (Benefit)   (1,400,000)      
Effective Income Tax Rate Reconciliation, Tax Credit, Research, Amount $ (2,100,000)        
Effective Income Tax Rate Reconciliation, Foreign Income Tax Withholding, Amount   3,800,000 $ 5,100,000 $ 6,000,000  
Other Tax Expense (Benefit)   3,100,000      
Change in foreign income tax withholding valuation allowance   0 $ 3,500,000 0  
Number of foreign subsidiaries included in valuation allowance | foreign_subsidiary     2    
Effective Income Tax Rate Reconciliation, Tax Settlement, Foreign, Amount       (5,300,000)  
Tax provision related to research and development cost sharing prepayment       2,000,000 $ 7,800,000
Prepaid income taxes   8,200,000 $ 6,300,000    
Income taxes payable   14,700,000 17,700,000    
Accrued income taxes   4,000,000 9,300,000    
Other current liabilities   2,200,000 1,300,000    
Other liabilities   8,500,000 7,100,000    
Income tax payments   30,100,000 25,500,000 35,400,000  
Net deferred tax assets   31,756,000 2,802,000    
Net operating loss related to windfall tax deductions   38,800,000      
Valuation allowance   198,168,000 177,541,000 156,500,000 170,400,000
Interest expense   100,000 300,000 (1,200,000)  
Penalty expense   0   0  
Interest expense related to income tax accruals   1,500,000 1,400,000    
Accrued tax penalties   0 0 100,000  
Unrecognized tax benefit   14,100,000 15,000,000 13,700,000 $ 19,100,000
Income tax provision upon recognition of unrecognized tax benefit   (12,500,000)      
Unrecognized tax benefits, increase in valuation allowance upon recognition   4,500,000      
Unrecognized tax benefits, increase to additional paid-in capital upon recognition   1,600,000      
Potential decrease in unrecognized tax benefits   4,000,000      
Stock-based compensation   50,182,000 50,889,000 48,787,000  
Tax benefit recognition related to stock based compensation   700,000 700,000 2,700,000  
Increase (decrease) in income taxes payable   3,536,000 (19,134,000) 15,211,000  
Expected deferred tax expense   11,000,000      
Undistributed Earnings of Foreign Subsidiaries   1,915,000,000 613,000,000    
Deferred Tax Assets, Tax Credit Carryforwards, Foreign   15,962,000 9,022,000    
Domestic Country [Member]          
Income Tax Disclosure [Line Items]          
Net operating loss carryforwards   159,700,000      
Valuation allowance   166,500,000      
Deferred Tax Assets, Tax Credit Carryforwards, Foreign   16,000,000      
Domestic Country [Member] | Research Tax Credit Carryforward [Member]          
Income Tax Disclosure [Line Items]          
Credit carryforwards   18,500,000      
Foreign Country [Member]          
Income Tax Disclosure [Line Items]          
Net operating loss carryforwards   117,700,000      
Valuation allowance   31,700,000      
Credit carryforwards   7,200,000      
Windfall Tax Benefit [Member]          
Income Tax Disclosure [Line Items]          
Increase (decrease) in income taxes payable   0 10,400,000 300,000  
Windfall tax deductions not yet recognized   30,100,000      
Massachusetts Research And Development Member | Research Tax Credit Carryforward [Member]          
Income Tax Disclosure [Line Items]          
Credit carryforwards   25,700,000      
2014 Acquisitions [Member]          
Income Tax Disclosure [Line Items]          
Deferred Tax Liabilities, Net     21,600,000    
Servigistics, Enigma and NetIDEAS [Member]          
Income Tax Disclosure [Line Items]          
Deferred Tax Liabilities, Net       38,700,000  
All Acquisitions [Member] | Domestic Country [Member]          
Income Tax Disclosure [Line Items]          
Net operating loss carryforwards   $ 81,000,000      
Axeda and ThingWorx [Member]          
Income Tax Disclosure [Line Items]          
Deferred tax assets, change in valuation allowance     $ (18,100,000)    
Servigistics and Enigma [Member]          
Income Tax Disclosure [Line Items]          
Deferred tax assets, change in valuation allowance       (36,700,000)  
Deferred Tax Asset, Pension [Member]          
Income Tax Disclosure [Line Items]          
Deferred tax assets, change in valuation allowance       $ (7,900,000)