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Disposition of Business (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Mar. 31, 2019
Mar. 31, 2018
Mar. 31, 2019
Mar. 31, 2018
Feb. 01, 2019
Nov. 07, 2018
Sep. 30, 2018
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]              
Document Period End Date     Mar. 31, 2019        
Disposal Group, Including Discontinued Operation, Accounts, Notes and Loans Receivable, Net             $ 30,959
Provision for Income Taxes, Discontinued Operations $ (4,363) $ 551 $ (2,688) $ 999      
Income (Loss) from Discontinued Operations, Net of Tax, Attributable to Parent 98,081 3,088 99,472 8,851      
Depreciation, Discontinued Operations 97 333 391 750      
Disposal Group, Including Discontinued Operation, Depreciation and Amortization 1,643 5,995 6,569 12,060      
Stock Compensation Expense, Discontinued Operations 5,001 2,007 7,103 3,768      
Disposal Group, Including Discontinued Operation, Prepaid and Other Assets             3,443
Disposal Group, Including Discontinued Operation, Property, Plant and Equipment             2,442
Disposal Group, Including Discontinued Operation, Goodwill             257,352
Disposal Group, Including Discontinued Operation, Intangible Assets             99,507
Disposal Group, Including Discontinued Operation, Other Assets             196
Disposal Group, Including Discontinued Operation, Assets             393,899
Disposal Group, Including Discontinued Operation, Accounts Payable             3,604
Disposal Group, Including Discontinued Operation, Accrued Liabilities             12,304
Disposal Group, Including Discontinued Operation, Deferred Revenue             107,965
Disposal Group, Including Discontinued Operation, Revenue 15,435 48,031 67,430 102,452      
Disposal Group, Including Discontinued Operation, Consideration         $ 404,000 $ 400,000  
Disposal Group, Including Discontinued Operation, Costs of Goods Sold 4,942 11,968 16,946 24,924      
Disposal Group, Including Discontinued Operation, Operating Income (Loss) (8,653) 3,639 (5,587) 9,850      
Disposal Group, Including Discontinued Operation, Other Liabilities             2,658
Disposal Group, Including Discontinued Operation, Liabilities             $ 126,531
Gain (Loss) on Disposition of Business 102,371 0 102,371 0      
Restructuring Charges [Member]              
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]              
Disposal Group, Including Discontinued Operation, Operating Expense 4,791 67 13,251 1,299      
Other Expenses 0 162 0 162      
Acquisition-related Costs [Member]              
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]              
Disposal Group, Including Discontinued Operation, Operating Expense 0 0 (386) 0      
Other Expense [Member]              
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]              
Disposal Group, Including Discontinued Operation, Operating Expense 1,305 4,273 5,219 8,496      
General and Administrative Expense              
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]              
Disposal Group, Including Discontinued Operation, Operating Expense 766 1,105 1,997 2,224      
Sales and marketing              
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]              
Disposal Group, Including Discontinued Operation, Operating Expense 10,243 19,330 28,433 40,730      
Research and Development              
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]              
Disposal Group, Including Discontinued Operation, Operating Expense $ 2,041 $ 7,487 $ 7,557 $ 14,767