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Goodwill and Intangible Assets (Goodwill and Acquired Intangible Assets) (Details) - USD ($) $ in Thousands | 6 Months Ended |
--- | --- | ---
Mar. 31, 2018 | Sep. 30, 2017
Goodwill (not amortized), Net Book Value | $ 1,191,603 | $ 1,182,772
Intangible assets with finite lives (amortized), Gross Carrying Amount | 775,042 | 768,932
Intangible assets with finite lives (amortized), Accumulated Amortization | 545,012 | 511,024
Intangible assets with finite lives (amortized), Net Book Value | 230,030 | 257,908
Intangible Assets, Net (Including Goodwill) | 1,421,633 | 1,440,680
Purchased software |  |
Intangible assets with finite lives (amortized), Gross Carrying Amount | 365,904 | 362,955
Intangible assets with finite lives (amortized), Accumulated Amortization | 243,809 | 228,377
Intangible assets with finite lives (amortized), Net Book Value | $ 122,095 | 134,578
Acquired finite-lived intangible asset, weighted average useful life | 9 years |
Capitalized software |  |
Intangible assets with finite lives (amortized), Gross Carrying Amount | $ 22,877 | 22,877
Intangible assets with finite lives (amortized), Accumulated Amortization | 22,877 | 22,877
Intangible assets with finite lives (amortized), Net Book Value | 0 | 0
Customer lists and relationships |  |
Intangible assets with finite lives (amortized), Gross Carrying Amount | 362,895 | 359,932
Intangible assets with finite lives (amortized), Accumulated Amortization | 259,569 | 241,554
Intangible assets with finite lives (amortized), Net Book Value | $ 103,326 | 118,378
Acquired finite-lived intangible asset, weighted average useful life | 10 years |
Trademarks and trade names |  |
Intangible assets with finite lives (amortized), Gross Carrying Amount | $ 19,270 | 19,138
Intangible assets with finite lives (amortized), Accumulated Amortization | 14,661 | 14,186
Intangible assets with finite lives (amortized), Net Book Value | $ 4,609 | 4,952
Acquired finite-lived intangible asset, weighted average useful life | 10 years |
Other |  |
Intangible assets with finite lives (amortized), Gross Carrying Amount | $ 4,096 | 4,030
Intangible assets with finite lives (amortized), Accumulated Amortization | 4,096 | 4,030
Intangible assets with finite lives (amortized), Net Book Value | $ 0 | $ 0

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- Definition Weighted average amortization period of finite-lived intangible assets acquired either individually or as part of a group of assets, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 1 -Subparagraph (a)(3) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16265-109275 + Details
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- Definition Accumulated amount of amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a)(1) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 + Details
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- Definition Amount before amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a)(1) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 + Details
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- Definition Amount after amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a)(1) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 + Details
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- Definition Amount after accumulated impairment loss of an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (a) -URI http://asc.fasb.org/extlink&oid=35741047&loc=d3e13816-109267 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 20 -Section 45 -Paragraph 1 -URI http://asc.fasb.org/extlink&oid=6388280&loc=d3e13770-109266 Reference 3: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 20 -Section 45 -Paragraph 5 -URI http://asc.fasb.org/extlink&oid=77989000&loc=SL49117168-202975 + Details
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- Definition Carrying amount of finite-lived intangible assets, indefinite-lived intangible assets and goodwill. Goodwill is an asset representing the future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized. Intangible assets are assets, not including financial assets, lacking physical substance. + References No definition available. + Details
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