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Revenue from Contracts with Customers (Disaggregation of Revenue) (Details) - USD ($) $ in Thousands | 12 Months Ended
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Sep. 30, 2019 | Sep. 30, 2018 | Sep. 30, 2017
Disaggregation of Revenue [Line Items] |  |  |
Revenue | $ 1,255,631 | $ 1,241,824 | $ 1,164,039
Subscription license |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue | 253,698 |  |
Subscription support & cloud services |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue | 348,452 |  |
Subscription Services |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue | 602,150 |  |
Perpetual support |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue | 415,248 |  |
Recurring Services |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue | 1,017,398 |  |
Perpetual license |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue | 70,702 |  |
Software |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue | 1,088,100 | 1,088,487 | 987,316
Professional services |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue | 167,531 | 153,337 | 176,723
Calculated under Revenue Guidance in Effect before Topic 606 [Member] |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue | 1,311,494 | 1,241,824 | 1,164,039
Calculated under Revenue Guidance in Effect before Topic 606 [Member] | Subscription Services |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue | 667,597 | 482,027 | 279,246
Calculated under Revenue Guidance in Effect before Topic 606 [Member] | Perpetual support |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue | 411,030 | 496,826 | 574,680
Calculated under Revenue Guidance in Effect before Topic 606 [Member] | Recurring Services |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue | 1,078,627 | 978,853 | 853,926
Calculated under Revenue Guidance in Effect before Topic 606 [Member] | Perpetual license |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue | 72,191 | 109,634 | 133,390
Calculated under Revenue Guidance in Effect before Topic 606 [Member] | Software |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue | 1,150,818 | 1,088,487 | 987,316
Calculated under Revenue Guidance in Effect before Topic 606 [Member] | Professional services |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue | $ 160,676 | $ 153,337 | $ 176,723

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- Definition Amount, excluding tax collected from customer, of revenue from satisfaction of performance obligation by transferring promised good or service to customer. Tax collected from customer is tax assessed by governmental authority that is both imposed on and concurrent with specific revenue-producing transaction, including, but not limited to, sales, use, value added and excise. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 606 -SubTopic 10 -Section 50 -Paragraph 4 -Subparagraph (a) -URI http://asc.fasb.org/extlink&oid=118956577&loc=SL49130543-203045 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 606 -SubTopic 10 -Section 50 -Paragraph 5 -URI http://asc.fasb.org/extlink&oid=118956577&loc=SL49130545-203045 + Details
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