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Income Taxes (Narrative) (Details) - USD ($) $ in Thousands | 12 Months Ended |  |
--- | --- | --- | ---
Sep. 30, 2018 | Sep. 30, 2017 | Sep. 30, 2016 | Oct. 01, 2017 | Sep. 30, 2015
Income Tax Disclosure [Line Items] |  |  |  |  |
Effective Income Tax Rate Reconciliation, Prior Year Income Taxes, Percent | 24.50% |  |  |  |
Effective Income Tax Rate Reconciliation, Foreign Income Tax Rate Differential, Amount | $ (38,743) | $ (27,932) | $ (27,513) |  |
Decrease of valuation allowance in foreign jurisdictions |  | (9,000) | (3,100) |  |
Effective Income Tax Rate Reconciliation, Foreign Income Tax Withholding, Amount | 2,736 | 2,737 | 1,987 |  |
Income taxes payable | 24,200 | 16,200 |  |  |
Accrued income taxes | 18,000 | 5,700 |  |  |
Other current liabilities | 1,800 | 2,300 |  |  |
Prepaid income taxes | 4,800 | 7,100 |  |  |
Other liabilities | 4,400 | 8,200 |  |  |
Income tax payments | 22,600 | 35,400 | 25,500 |  |
Deferred Tax Assets, Tax Credit Carryforwards, Foreign | 2,201 | 21,099 |  |  |
Gross Deferred Interest Carryforward | 104,500 |  |  |  |
Gross Deferred Amortization Carryforward | 709,300 |  |  |  |
Valuation allowance | 141,950 | 279,683 | 235,500 |  | $ 198,200
Interest expense | 600 | 900 | 500 |  |
Penalty expense | 0 | 0 | 0 |  |
Interest expense related to income tax accruals | 500 | 1,100 |  |  |
Accrued tax penalties | 0 | 0 | 0 |  |
Unrecognized tax benefit | 9,800 | 14,800 | 15,500 |  | $ 14,100
Income tax provision upon recognition of unrecognized tax benefit | 9,800 |  |  |  |
Unrecognized tax benefits, increase in valuation allowance upon recognition | 3,700 |  |  |  |
Potential decrease in unrecognized tax benefits | 2,000 |  |  |  |
Stock-based compensation | 82,939 | 76,708 | 65,996 |  |
Tax benefit recognition related to stock based compensation | 28,300 | 1,300 | 700 |  |
Increase (decrease) in income taxes payable | (10,323) | 798 | $ (6,749) |  |
Deferred Tax Liability Not Recognized, Description of Temporary Difference, Undistributed Earnings of Foreign Subsidiaries | $ 0 | $ (11,440) |  |  |
Effective Income Tax Rate Reconciliation, at Federal Statutory Income Tax Rate, Percent | 25.00% | 35.00% | 35.00% |  |
Benefit from deferred income taxes | $ (56,556) | $ (28,289) | $ (44,182) |  |
Realignment [Member] |  |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |  |
Effective Income Tax Rate Reconciliation, Foreign Income Tax Rate Differential, Amount | (24,000) | (28,000) | (28,000) |  |
Domestic Country [Member] |  |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |  |
Net operating loss carryforwards | 4,100 |  |  |  |
Deferred Tax Assets, Tax Credit Carryforwards, Foreign | 2,200 |  |  |  |
Valuation allowance | 108,600 |  |  |  |
Domestic Country [Member] | Research Tax Credit Carryforward [Member] |  |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |  |
Credit carryforwards | 30,000 |  |  |  |
State - Massachusetts [Member] | Research Tax Credit Carryforward [Member] |  |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |  |
Credit carryforwards | 22,400 |  |  |  |
Foreign Country [Member] |  |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |  |
Net operating loss carryforwards | 84,200 |  |  |  |
Credit carryforwards | 5,000 |  |  |  |
Valuation allowance | 33,300 |  |  |  |
Korea |  |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |  |
Income Tax Examination, Estimate of Possible Loss | 12,000 |  |  |  |
Windfall Tax Benefit [Member] |  |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |  |
Increase (decrease) in income taxes payable | 13,200 | 600 | 100 |  |
Patents [Member] |  |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |  |
Effective Income Tax Rate Reconciliation, Foreign Income Tax Withholding, Amount | 2,700 | $ 2,000 | $ 2,000 |  |
US Tax on Undistributed Foreign Earnings [Member] |  |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |  |
Current Federal, State and Local, Tax Expense (Benefit) | 2,100 |  |  |  |
Net Decrease in Deferred Tax Liability [Member] |  |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |  |
Benefit from deferred income taxes | $ 14,100 |  |  |  |
Accounting Standards Update 2016-09 [Member] |  |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |  |
Windfall tax deductions not yet recognized |  |  |  | $ 37,000 |
Windfall Tax Deductions Not Yet Recognized Offset Valuation Allowance |  |  |  | $ 36,900 |

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