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Goodwill and Acquired Intangible Assets (Goodwill and Acquired Intangible Assets) (Details) - USD ($) $ in Thousands | 12 Months Ended |  |
--- | --- | --- | ---
Sep. 30, 2018 | Sep. 30, 2017 | Sep. 30, 2016
Goodwill (not amortized), Net Book Value | $ 1,182,457 | $ 1,182,772 | $ 1,169,813
Intangible assets with finite lives (amortized), Gross Carrying Amount | 766,199 | 768,932 |
Intangible assets with finite lives (amortized), Accumulated Amortization | 565,997 | 511,024 |
Intangible assets with finite lives (amortized), Net Book Value | 200,202 | 257,908 |
Total goodwill and acquired intangible assets | 1,382,659 | 1,440,680 |
Purchased Software [Member] |  |  |
Intangible assets with finite lives (amortized), Gross Carrying Amount | 362,679 | 362,955 |
Intangible assets with finite lives (amortized), Accumulated Amortization | 254,059 | 228,377 |
Intangible assets with finite lives (amortized), Net Book Value | $ 108,620 | 134,578 |
Weighted average useful lives (in years) | 9 years |  |
Capitalized Software [Member] |  |  |
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 [Member] |  |  |
Intangible assets with finite lives (amortized), Gross Carrying Amount | 357,586 | 359,932 |
Intangible assets with finite lives (amortized), Accumulated Amortization | 270,272 | 241,554 |
Intangible assets with finite lives (amortized), Net Book Value | $ 87,314 | 118,378 |
Weighted average useful lives (in years) | 10 years |  |
Trademarks And Trade Names [Member] |  |  |
Intangible assets with finite lives (amortized), Gross Carrying Amount | $ 19,054 | 19,138 |
Intangible assets with finite lives (amortized), Accumulated Amortization | 14,786 | 14,186 |
Intangible assets with finite lives (amortized), Net Book Value | $ 4,268 | 4,952 |
Weighted average useful lives (in years) | 11 years |  |
Other [Member] |  |  |
Intangible assets with finite lives (amortized), Gross Carrying Amount | $ 4,003 | 4,030 |
Intangible assets with finite lives (amortized), Accumulated Amortization | 4,003 | 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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