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Business Combinations (Details) - USD ($)
3 Months Ended 9 Months Ended
Jun. 30, 2019
Jun. 30, 2018
Jun. 30, 2019
Jun. 30, 2018
Sep. 30, 2018
Business Acquisition [Line Items]          
Goodwill $ 1,065,379,000   $ 1,065,379,000   $ 555,965,000
F5 Networks Acquisition of Nginx [Member]          
Business Acquisition [Line Items]          
Business Acquisition, Pro Forma Revenue 568,272,000 $ 546,324,000 1,671,875,000 $ 1,609,341,000  
Acquired Tangible Assets 44,494,000   44,494,000    
Cash Acquired from Acquisition 29,911,000   29,911,000    
Payments to Acquire Businesses, Gross     643,208,000    
Business Acquisition, Transaction Costs 19,000,000.0   19,000,000.0    
Business Combination, Acquired Receivable, Fair Value 7,306,000   7,306,000    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets, Other 4,214,000   4,214,000    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment 1,822,000   1,822,000    
Business Combination Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Assets 10,357,000   10,357,000    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles 89,300,000   $ 89,300,000    
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life     8 years 1 month 6 days    
Goodwill 509,414,000   $ 509,414,000    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Assets 652,324,000   652,324,000    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities, Accounts Payable (1,081,000)   (1,081,000)    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities, Deferred Revenue (4,000,000)   (4,000,000)    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Other (4,035,000)   (4,035,000)    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Liabilities (9,116,000)   (9,116,000)    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net 643,208,000   643,208,000    
Business Acquisition, Goodwill, Expected Tax Deductible Amount 437,400,000   437,400,000    
Business Acquisition, Pro Forma Information, Description 100,329,000 $ 110,800,000 324,074,000 $ 267,742,000  
Business Combination, Pro Forma Information, Revenue of Acquiree since Acquisition Date, Actual     5,100,000    
Business Combination, Pro Forma Information, Earnings or Loss of Acquiree since Acquisition Date, Actual     5,900,000    
Developed Technology Rights [Member] | F5 Networks Acquisition of Nginx [Member]          
Business Acquisition [Line Items]          
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles 62,500,000   $ 62,500,000    
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life     7 years    
Customer Relationships [Member] | F5 Networks Acquisition of Nginx [Member]          
Business Acquisition [Line Items]          
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles 12,000,000   $ 12,000,000    
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life     15 years    
Trade Names [Member] | F5 Networks Acquisition of Nginx [Member]          
Business Acquisition [Line Items]          
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles 14,500,000   $ 14,500,000    
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life     7 years    
Non-competition Agreements [Member] | F5 Networks Acquisition of Nginx [Member]          
Business Acquisition [Line Items]          
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles 300,000   $ 300,000    
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life     2 years    
Acquisition-related Costs [Member] | F5 Networks Acquisition of Nginx [Member]          
Business Acquisition [Line Items]          
Retention costs     $ 21,800,000    
Business Acquisition, Transaction Costs 1,000,000.0   1,000,000.0    
General and Administrative Expense [Member] | F5 Networks Acquisition of Nginx [Member]          
Business Acquisition [Line Items]          
Business Acquisition, Transaction Costs $ 1,000,000.0   $ 1,000,000.0