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Summary of Significant Accounting Policies (Narrative) (Details) - USD ($)
shares in Millions
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Oct. 01, 2019
Dec. 29, 2018
Sep. 30, 2017
Summary Of Significant Accounting Policies [Line Items]            
Percent of standalone selling price for subscriptions that contains software license 55.00%          
Percent of standalone selling price for subscriptions that contains support 45.00%          
Contract with customer, refund liability $ 34,500,000 $ 22,900,000        
Impairment charges 500,000          
Non-marketable equity investments 8,900,000 9,400,000        
Allowance for doubtful accounts receivable 500,000 700,000 $ 600,000      
Allowance for credit loss, writeoff 200,000 200,000 1,000,000.0      
Bad debt expense including general and administrative expense $ 0.0 300,000 500,000      
Lease expiration date 2037          
Development costs for software $ 0 0 0      
Advertising expense 3,800,000 3,600,000 2,900,000      
Cumulative translation adjustment gains (loss) (69,100,000) (91,200,000)        
Pension benefits, before tax (37,200,000) (34,900,000)        
Accumulated other comprehensive (income) loss, defined benefit plan, after tax 26,400,000 24,800,000        
AOCI, Debt Securities, Available-for-sale, Adjustment, before tax 300,000 100,000        
AOCI, Debt Securities, Available-for-sale, Adjustment, after Tax 300,000 100,000        
Accumulated Other Comprehensive Income (Loss), Cumulative Changes in Net Gain (Loss) from Net Investment Hedges, Before Tax (8,200,000) 6,800,000        
Accumulated Other Comprehensive Income (Loss), Cumulative Changes in Net Gain (Loss) from Net Investment Hedges, Effect Net of Tax (8,200,000) $ 5,100,000        
Antidilutive Securities Excluded from Computation of Earnings Per Share, Amount   1.0        
Operating lease, liability 215,023,000          
Operating right-of-use lease assets 149,933,000 $ 0        
Total stockholders’ equity 1,438,248,000 1,201,998,000 874,589,000     $ 885,436,000
Purchased Software            
Summary Of Significant Accounting Policies [Line Items]            
Finite-lived intangible assets acquired $ 11,500,000          
Minimum            
Summary Of Significant Accounting Policies [Line Items]            
Percent of standalone selling price for subscriptions 5.00%          
Minimum | Computer Hardware And Software            
Summary Of Significant Accounting Policies [Line Items]            
Amortization period (in years) 3 years          
Minimum | Furniture And Fixtures            
Summary Of Significant Accounting Policies [Line Items]            
Amortization period (in years) 3 years          
Maximum            
Summary Of Significant Accounting Policies [Line Items]            
Percent of standalone selling price for subscriptions 50.00%          
Maximum | Purchased Software            
Summary Of Significant Accounting Policies [Line Items]            
Amortization period (in years) 16 years          
Maximum | Customer Lists            
Summary Of Significant Accounting Policies [Line Items]            
Amortization period (in years) 12 years          
Maximum | Trademarks And Trade Names            
Summary Of Significant Accounting Policies [Line Items]            
Amortization period (in years) 12 years          
Maximum | Computer Hardware And Software            
Summary Of Significant Accounting Policies [Line Items]            
Amortization period (in years) 5 years          
Maximum | Furniture And Fixtures            
Summary Of Significant Accounting Policies [Line Items]            
Amortization period (in years) 7 years          
Accumulated Deficit            
Summary Of Significant Accounting Policies [Line Items]            
Total stockholders’ equity $ (62,267,000) $ (191,390,000) $ (599,409,000)     $ (650,840,000)
Accounting Standards Update 2016-16 | Accumulated Deficit            
Summary Of Significant Accounting Policies [Line Items]            
Total stockholders’ equity         $ 72,300,000  
Accounting Standards Update 2016-02            
Summary Of Significant Accounting Policies [Line Items]            
Operating lease, liability       $ 224,000,000.0    
Operating right-of-use lease assets       167,900,000    
Accounting Standards Update 2016-02 | Accumulated Deficit | Scheduling of Reversal of Temporary Tax Differences | Cumulative Effect, Period of Adoption, Adjustment            
Summary Of Significant Accounting Policies [Line Items]            
Total stockholders’ equity       $ (1,600,000)    
Not Designated as Hedging Instrument | Foreign Exchange Forward            
Summary Of Significant Accounting Policies [Line Items]            
Derivative maturity 3 months          
Net Investment Hedging | Designated as Hedging Instrument | Foreign Exchange Forward            
Summary Of Significant Accounting Policies [Line Items]            
Derivative maturity 3 months