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Stock-Based Compensation - Narrative (Details) - USD ($)
12 Months Ended
Oct. 30, 2020
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Jan. 24, 2020
May 08, 2019
Mar. 31, 2012
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Share-based Payment Arrangement, Expense   $ 201,900,000 $ 162,900,000 $ 157,900,000      
Share-based Payment Arrangement, Expense, Tax Benefit   37,600,000 $ 31,300,000 $ 34,600,000      
Share-based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Amount   $ 205,600,000          
Share-based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Period for Recognition   2 years          
Expected term   6 months 6 months 6 months      
Vested and expected to vest, Number of Shares   368,503          
Weighted Average Grant Date Fair Value   $ 137.84 $ 165.64 $ 126.86      
Fair market value of restricted stock vested   $ 138,400,000 $ 159,600,000 $ 182,600,000      
Total intrinsic value of options exercised   $ 11,400,000 $ 700,000 $ 100,000      
Subsequent Event [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Equity Instruments Other than Options, Grants in Period 1,451,566            
Restricted Stock Units (RSUs) [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Award vesting period   2 years 2 years 2 years      
Two Thousand Eleven Employee Stock Purchase Plan [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Common stock reserved for issuance   10,000,000          
Percentage of base compensation for which employees can acquire shares of common stock   15.00%          
Maximum shares allowed for purchase by employee in period   10,000          
Maximum aggregate fair value of stock that an employee may purchase   $ 25,000          
Expected term   6 months          
Percentage of common stock lesser of the fair market value   85.00%          
Number of Shares Authorized   1,899,745          
Traffix 2007 Plan [Member] [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Common stock reserved for issuance             106,829
Shares available for purchase under stock option plan   49          
Nginx Acquisition Equity Incentive Plan [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Common stock reserved for issuance           183,061  
Vesting rate of stock options and awards upon certain changes in ownership control   50.00%          
Nginx Acquisition Equity Incentive Plan [Member] | Restricted Stock Units (RSUs) [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Outstanding stock units   121,820          
Nginx, Inc. 2011 Share Plan [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Common stock reserved for issuance           302,634  
Shares available for purchase under stock option plan   131,342          
Nginx, Inc. 2011 Share Plan [Member] | Restricted Stock Units (RSUs) [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Outstanding stock units   17,986          
Shape Acquisition Plan [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Common stock reserved for issuance         450,000    
Vesting rate of stock options and awards upon certain changes in ownership control   50.00%          
Shape Acquisition Plan [Member] | Restricted Stock Units (RSUs) [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Shares Issued in Period   411,385          
Outstanding stock units   377,066          
Shape 2011 Share Plan [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Common stock reserved for issuance         501,085    
Vested and expected to vest, Number of Shares   259,709          
Shape 2011 Share Plan [Member] | Restricted Stock Units (RSUs) [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Shares Issued in Period   7,703          
Outstanding stock units   5,631          
Shape 2011 Share Plan [Member] | Share-based Payment Arrangement, Option [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Shares Issued in Period   334,709          
Two Thousand Fourteen Equity Incentive Plan [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Common stock reserved for issuance   21,280,000          
Vesting rate of stock options and awards upon certain changes in ownership control   50.00%          
Number of Shares Authorized   2,453,277          
Two Thousand Fourteen Equity Incentive Plan [Member] | Performance Shares [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Shares Issued in Period   152,199          
Outstanding stock units   145,869 55,184        
Weighted Average Grant Date Fair Value   $ 146.42 $ 165.83        
Equity Instruments Other than Options, Grants in Period   152,199          
Two Thousand Fourteen Equity Incentive Plan [Member] | Restricted Stock Units (RSUs) [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Shares Issued in Period   1,237,609          
Outstanding stock units   1,204,290 1,041,889        
Weighted Average Grant Date Fair Value   $ 146.39 $ 158.10        
Equity Instruments Other than Options, Grants in Period   1,237,609