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Summary of Significant Accounting Policies (Narrative) (Details) - USD ($)
shares in Millions
12 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2017
Oct. 01, 2019
Oct. 01, 2018
Sep. 30, 2016
Summary Of Significant Accounting Policies [Line Items]            
Contract with customer, refund liability $ 22,900,000          
Cost method investments 9,400,000 $ 1,700,000        
Proceeds From Sale Of Cost Method Investments   13,700,000        
Gain on sale of cost-method investments   3,700,000        
Allowance for doubtful accounts receivable 700,000 600,000 $ 1,100,000     $ 1,000,000.0
Allowance for credit loss, writeoff 200,000 1,000,000.0 1,500,000      
Bad debt expense including general and administrative expense 300,000 500,000 1,500,000      
Development costs for software 0 0 0      
Capitalized software in connection with acquisition   800,000        
Advertising expense 3,600,000 2,900,000 2,500,000      
Cumulative translation adjustment gains (loss) 91,200,000 66,400,000        
Pension benefits, before tax (34,900,000) 27,000,000.0        
Accumulated Other Comprehensive (Income) Loss, Defined Benefit Plan, after Tax (24,800,000) 19,200,000        
AOCI, Debt Securities, Available-for-sale, Adjustment, after Tax 100,000 (400,000)        
Accumulated Other Comprehensive Income (Loss), Cumulative Changes in Net Gain (Loss) from Cash Flow Hedges, Before Tax   (400,000)        
Accumulated Other Comprehensive Income (Loss), Cumulative Changes in Net Gain (Loss) from Cash Flow Hedges, Effect Net of Tax   (400,000)        
Accumulated Other Comprehensive Income (Loss), Cumulative Changes in Net Gain (Loss) from Net Investment Hedges, Before Tax (6,800,000)          
Accumulated Other Comprehensive Income (Loss), Cumulative Changes in Net Gain (Loss) from Net Investment Hedges, Effect Net of Tax $ (5,100,000)          
Antidilutive Securities Excluded from Computation of Earnings Per Share, Amount 1.0          
Deferred Tax Assets, Other $ 1,623,000 1,152,000        
Total stockholders’ equity 1,201,998,000 874,589,000 885,436,000     842,666,000
Deferred tax assets 198,634,000 165,566,000        
Other income (expense), net $ 305,000 (2,284,000) (772,000)      
Minimum [Member]            
Summary Of Significant Accounting Policies [Line Items]            
Percent of standalone selling price for subscriptions that contains license 50.00%          
Percent of standalone selling price for subscriptions that contains support 45.00%          
Minimum [Member] | Computer Hardware And Software [Member]            
Summary Of Significant Accounting Policies [Line Items]            
Amortization period (in years) 3 years          
Minimum [Member] | Furniture And Fixtures [Member]            
Summary Of Significant Accounting Policies [Line Items]            
Amortization period (in years) 3 years          
Maximum [Member]            
Summary Of Significant Accounting Policies [Line Items]            
Percent of standalone selling price for subscriptions that contains license 55.00%          
Percent of standalone selling price for subscriptions that contains support 50.00%          
Maximum [Member] | Purchased Software [Member]            
Summary Of Significant Accounting Policies [Line Items]            
Amortization period (in years) 11 years          
Maximum [Member] | Customer Lists [Member]            
Summary Of Significant Accounting Policies [Line Items]            
Amortization period (in years) 12 years          
Maximum [Member] | Trademarks And Trade Names [Member]            
Summary Of Significant Accounting Policies [Line Items]            
Amortization period (in years) 12 years          
Maximum [Member] | Computer Hardware And Software [Member]            
Summary Of Significant Accounting Policies [Line Items]            
Amortization period (in years) 5 years          
Maximum [Member] | Furniture And Fixtures [Member]            
Summary Of Significant Accounting Policies [Line Items]            
Amortization period (in years) 8 years          
Not Designated as Hedging Instrument [Member] | Foreign Exchange Forward [Member]            
Summary Of Significant Accounting Policies [Line Items]            
Derivative maturity 3 months          
Accounting Standards Update 2016-16 [Member]            
Summary Of Significant Accounting Policies [Line Items]            
Deferred tax assets         $ 75,300,000  
Other Tax Assets         6,000,000.0  
Other Tax Liabilities         3,000,000.0  
Accounting Standards Update 2017-07 [Member]            
Summary Of Significant Accounting Policies [Line Items]            
Other income (expense), net   600,000 900,000      
Accounting Standards Update 2016-02 [Member] | Minimum [Member]            
Summary Of Significant Accounting Policies [Line Items]            
Operating Lease, Liability       $ 233,000,000    
Operating Lease, Right-of-Use Asset       162,000,000    
Accounting Standards Update 2016-02 [Member] | Maximum [Member]            
Summary Of Significant Accounting Policies [Line Items]            
Operating Lease, Liability       238,000,000    
Operating Lease, Right-of-Use Asset       $ 167,000,000    
Accumulated Deficit [Member]            
Summary Of Significant Accounting Policies [Line Items]            
Total stockholders’ equity $ (191,390,000) (599,409,000) $ (650,840,000)     $ (657,079,000)
Accumulated Deficit [Member] | Accounting Standards Update 2016-16 [Member]            
Summary Of Significant Accounting Policies [Line Items]            
Total stockholders’ equity         $ 72,300,000  
Net Investment Hedging [Member] | Designated as Hedging Instrument [Member] | Foreign Exchange Forward [Member]            
Summary Of Significant Accounting Policies [Line Items]            
Derivative maturity 3 months          
Derivative, remaining maturity 3 months          
Cash Flow Hedging [Member] | Designated as Hedging Instrument [Member] | Foreign Exchange Forward [Member]            
Summary Of Significant Accounting Policies [Line Items]            
Derivative, remaining maturity 15 months          
Other Current Assets [Member]            
Summary Of Significant Accounting Policies [Line Items]            
Restricted Cash $ 1,100,000 $ 1,100,000