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Revenue from Contracts with Customers (Impact of ASC 606 on Income Statement) (Details) - USD ($) | 12 Months Ended
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Sep. 30, 2019 | Sep. 30, 2018 | Sep. 30, 2017
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |
Revenue | $ 1,255,631,000 | $ 1,241,824,000 | $ 1,164,039,000
Cost of revenue | 325,378,000 | 326,502,000 | 328,502,000
Gross margin | 930,253,000 | 915,322,000 | 835,537,000
Sales and marketing | 417,449,000 | 414,764,000 | 372,702,000
Research and development | 246,888,000 | 249,786,000 | 236,028,000
General and administrative | 127,919,000 | 143,045,000 | 144,991,000
Amortization of acquired intangible assets | 23,841,000 | 31,350,000 | 32,108,000
Restructuring and other charges, net | 51,114,000 | 3,764,000 | 7,942,000
Total operating expenses | 867,211,000 | 842,709,000 | 793,771,000
Operating income | 63,042,000 | 72,613,000 | 41,766,000
Interest expense | (43,047,000) | (41,673,000) | (42,400,000)
Other income (expense), net | 305,000 | (2,284,000) | (772,000)
Income before income taxes | 20,300,000 | 28,656,000 | (1,406,000)
Provision (benefit) for income taxes | 47,760,000 | (23,331,000) | (7,645,000)
Net income (loss) | (27,460,000) | 51,987,000 | 6,239,000
Calculated under Revenue Guidance in Effect before Topic 606 [Member] |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |
Revenue | 1,311,494,000 | 1,241,824,000 | 1,164,039,000
Cost of revenue | 318,154,000 |  |
Gross margin | 993,340,000 |  |
Sales and marketing | 441,958,000 |  |
Research and development | 246,888,000 |  |
General and administrative | 127,919,000 |  |
Amortization of acquired intangible assets | 23,841,000 |  |
Restructuring and other charges, net | 51,114,000 |  |
Total operating expenses | 891,720,000 |  |
Operating income | 101,620,000 |  |
Interest expense | (43,047,000) |  |
Other income (expense), net | 131,000 |  |
Income before income taxes | 58,704,000 |  |
Provision (benefit) for income taxes | 55,725,000 |  |
Net income (loss) | 2,979,000 |  |
Software |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |
Revenue | 1,088,100,000 | 1,088,487,000 | 987,316,000
Cost of revenue | 185,414,000 | 182,843,000 | 177,772,000
Software | Calculated under Revenue Guidance in Effect before Topic 606 [Member] |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |
Revenue | 1,150,818,000 | 1,088,487,000 | 987,316,000
Cost of revenue | 183,218,000 |  |
Support and cloud services |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |
Revenue | 763,700,000 | 559,222,000 | 630,990,000
Cost of revenue | 133,478,000 | 135,106,000 | 110,931,000
Support and cloud services | Calculated under Revenue Guidance in Effect before Topic 606 [Member] |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |
Revenue | 484,048,000 |  |
Cost of revenue | 132,987,000 |  |
License |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |
Revenue | 324,400,000 | 529,265,000 | 356,326,000
Cost of revenue | 51,936,000 | 47,737,000 | 66,841,000
License | Calculated under Revenue Guidance in Effect before Topic 606 [Member] |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |
Revenue | 666,770,000 |  |
Cost of revenue | 50,231,000 |  |
Professional services |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |
Revenue | 167,531,000 | 153,337,000 | 176,723,000
Cost of revenue | 139,964,000 | 143,659,000 | 150,730,000
Professional services | Calculated under Revenue Guidance in Effect before Topic 606 [Member] |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |
Revenue | 160,676,000 | $ 153,337,000 | $ 176,723,000
Cost of revenue | 134,936,000 |  |
Accounting Standards Update 2014-09 [Member] | License |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |
Revenue | 215,000,000.0 |  |
Revenue on new and renewal bookings | $ 153,500,000 |  |

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