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Revenue from Contracts with Customers (Additional Information) (Details) - USD ($) $ in Thousands | 12 Months Ended |
--- | --- | ---
Sep. 30, 2019 | Sep. 30, 2018 | Sep. 30, 2017 | Oct. 01, 2018
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |
Contract with Customer, Asset, Reclassified to Receivable | $ 17,800 |  |  |
Contract with Customer, Asset, Additions during Period | 13,800 |  |  |
Deferred Revenue, Revenue Recognized | 333,700 |  |  |
Deferred Revenue, Additions | 374,100 |  |  |
Short Term and Long Term Accounts Receivable | 412,500 |  |  | $ 503,700
Contract with Customer, Refund Liability | 22,900 |  |  |
Contract asset | 21,038 |  |  | 25,037
Deferred revenue | 396,632 |  |  | 356,263
Billed but uncollected support and subscription-related revenue | 185,700 | $ 153,600 |  |
Revenue | 1,255,631 | 1,241,824 | $ 1,164,039 |
Accounting Standards Update 2014-09 [Member] |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |
Cumulative effect of new accounting principle |  | 363,218 |  |
Accounting Standards Update 2014-09 [Member] | Retained Earnings [Member] |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |
Cumulative Effect Of New Accounting Principle In Period Of Adoption, Gross |  |  |  | 432,200
Cumulative effect of new accounting principle |  | 363,218 |  | 363,200
Cumulative Effect Of New Accounting Principle In Period Of Adoption, Related To Deferral Of Commission Expenses |  |  |  | 70,000
Cumulative Effect Of New Accounting Principle In Period Of Adoption, Related To Offsetting Current Liability |  |  |  | 2,800
Other Current Assets [Member] |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |
Capitalized Contract Cost, Net | 27,700 |  |  |
Other Assets |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |
Capitalized Contract Cost, Net | 64,800 |  |  |
Restatement Adjustment [Member] | Accounting Standards Update 2014-09 [Member] | Retained Earnings [Member] |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |
Cumulative Effect Of New Accounting Principle In Period Of Adoption, Gross |  |  |  | 300
Cumulative effect of new accounting principle |  |  |  | 4,200
Previously Reported [Member] |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |
Contract asset |  |  |  | 26,200
Deferred revenue |  |  |  | 357,500
Previously Reported [Member] | Accounting Standards Update 2014-09 [Member] | Retained Earnings [Member] |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |
Cumulative Effect Of New Accounting Principle In Period Of Adoption, Gross |  |  |  | 431,900
Cumulative effect of new accounting principle |  |  |  | 367,400
License |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |
Revenue | 324,400 | 529,265 | 356,326 |
License | Accounting Standards Update 2014-09 [Member] |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |
Revenue | 215,000 |  |  |
Revenue on new and renewal bookings | 153,500 |  |  |
Germany [Member] |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |
Revenue | 185,400 | 193,300 | 164,700 |
United States [Member] |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |
Revenue | $ 514,400 | $ 487,300 | $ 475,500 |
Revenue from Contract with Customer Benchmark [Member] | Accounting Standards Update 2014-09 [Member] | Retained Earnings [Member] |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |
Cumulative effect of new accounting principle |  |  |  | 366,800
Revenue from Contract with Customer Benchmark [Member] | Deferred Revenue [Member] | Accounting Standards Update 2014-09 [Member] | Retained Earnings [Member] |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |
Cumulative effect of new accounting principle |  |  |  | 143,200
Revenue from Contract with Customer Benchmark [Member] | Other Assets | Accounting Standards Update 2014-09 [Member] | Retained Earnings [Member] |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |
Cumulative effect of new accounting principle |  |  |  | 5,100
Unbilled Contracts Receivables [Member] | Revenue from Contract with Customer Benchmark [Member] | Accounting Standards Update 2014-09 [Member] | Retained Earnings [Member] |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |
Cumulative effect of new accounting principle |  |  |  | $ 218,500

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