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Stock-Based Compensation - Schedule of Share-based Payment Award, Stock Options, Valuation Assumptions (Details) - $ / shares
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Expected term 6 months 6 months 6 months
Expected dividend 0.00% 0.00% 0.00%
Tranche 1 [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Fair Value, Per Share $ 196.02    
Expected term 10 months 28 days    
Risk-free interest rate 1.53%    
Expected dividend 0.00%    
Tranche 1 [Member] | F5 Networks [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Expected volatility 27.61%    
Tranche 1 [Member] | Index Members [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Expected volatility 26.88%    
Tranche 2 [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Fair Value, Per Share $ 199.85    
Expected term 1 year 10 months 28 days    
Risk-free interest rate 1.55%    
Expected dividend 0.00%    
Tranche 2 [Member] | F5 Networks [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Expected volatility 26.22%    
Tranche 2 [Member] | Index Members [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Expected volatility 26.70%    
Tranche 3 [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Fair Value, Per Share $ 202.56    
Expected term 2 years 10 months 28 days    
Risk-free interest rate 1.54%    
Expected dividend 0.00%    
Tranche 3 [Member] | F5 Networks [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Expected volatility 24.90%    
Tranche 3 [Member] | Index Members [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Expected volatility 24.82%