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Summary of Significant Accounting Policies ASC 606 Impact, Income Statement (Details) - USD ($)
$ in Thousands
3 Months Ended 12 Months Ended
Sep. 30, 2019
Jun. 30, 2019
Mar. 31, 2019
Dec. 31, 2018
Sep. 30, 2018
Jun. 30, 2018
Mar. 31, 2018
Dec. 31, 2017
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2017
ASC 606 Implementation Impact, Income Statement [Line Items]                      
Maintenance and support                 $ 33,564 $ 39,324 $ 37,243
Hosting and professional services                 636,189 678,378 654,599
Product and licensing                 73,333 56,799 54,104
Maintenance and support                 269,196 252,557 267,698
Revenues $ 470,658 $ 449,197 $ 409,583 $ 493,654 $ 479,432 $ 449,449 $ 466,193 $ 447,224 1,823,092 [1] 1,842,298 [1] 1,728,175 [1]
Hosting and professional services                 1,044,670 1,045,722 966,566
Product and licensing                 509,226 544,019 493,911
Amortization of intangible assets                 36,833 50,886 57,892
Cost of Goods and Services Sold                 779,919 825,387 803,838
Sales and marketing                 303,503 311,712 324,370
(Benefit) provision for income taxes                 (88,594) $ (62,320) $ 23,671
Professional Services And Hosting                      
ASC 606 Implementation Impact, Income Statement [Line Items]                      
New Accounting Pronouncement or Change in Accounting Principle, Effect of Adoption, Quantification                 37,294    
Cost of product and licensing                      
ASC 606 Implementation Impact, Income Statement [Line Items]                      
New Accounting Pronouncement or Change in Accounting Principle, Effect of Adoption, Quantification                 23,870    
Maintenance And Support                      
ASC 606 Implementation Impact, Income Statement [Line Items]                      
New Accounting Pronouncement or Change in Accounting Principle, Effect of Adoption, Quantification                 (25,531)    
Sales Revenue, Net [Member]                      
ASC 606 Implementation Impact, Income Statement [Line Items]                      
New Accounting Pronouncement or Change in Accounting Principle, Effect of Adoption, Quantification                 35,633    
Cost, professional services and hosting [Member]                      
ASC 606 Implementation Impact, Income Statement [Line Items]                      
New Accounting Pronouncement or Change in Accounting Principle, Effect of Adoption, Quantification                 2,948    
Cost, product and licensing [Member]                      
ASC 606 Implementation Impact, Income Statement [Line Items]                      
New Accounting Pronouncement or Change in Accounting Principle, Effect of Adoption, Quantification                 (5,891)    
Cost, maintenance and support [Member]                      
ASC 606 Implementation Impact, Income Statement [Line Items]                      
New Accounting Pronouncement or Change in Accounting Principle, Effect of Adoption, Quantification                 253    
Cost, amortization [Member]                      
ASC 606 Implementation Impact, Income Statement [Line Items]                      
New Accounting Pronouncement or Change in Accounting Principle, Effect of Adoption, Quantification                 0    
Cost of Revenue                      
ASC 606 Implementation Impact, Income Statement [Line Items]                      
New Accounting Pronouncement or Change in Accounting Principle, Effect of Adoption, Quantification                 (2,690)    
Selling and Marketing Expense                      
ASC 606 Implementation Impact, Income Statement [Line Items]                      
New Accounting Pronouncement or Change in Accounting Principle, Effect of Adoption, Quantification                 5,863    
Provision (benefit) for income taxes [Member]                      
ASC 606 Implementation Impact, Income Statement [Line Items]                      
New Accounting Pronouncement or Change in Accounting Principle, Effect of Adoption, Quantification                 1,963    
Pro Forma [Member]                      
ASC 606 Implementation Impact, Income Statement [Line Items]                      
Maintenance and support                 33,817    
Hosting and professional services                 639,137    
Product and licensing                 67,442    
Maintenance and support                 243,665    
Revenues                 1,858,725    
Hosting and professional services                 1,081,964    
Product and licensing                 533,096    
Cost of Goods and Services Sold                 777,229    
Sales and marketing                 309,366    
(Benefit) provision for income taxes                 $ (86,631)    
[1]
Segment revenues differ from reported revenues due to certain revenue adjustments related to acquisitions that would otherwise have been recognized but for the purchase accounting treatment of the business combinations. These revenues are included to allow for more complete comparisons to the financial results of historical operations and in evaluating management performance.