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Goodwill and Acquired Intangible Assets (Goodwill and Acquired Intangible Assets) (Details) - USD ($) $ in Thousands | 12 Months Ended |  |  |
--- | --- | --- | --- | ---
Sep. 30, 2017 | Sep. 30, 2016 | Jul. 02, 2016 | Sep. 30, 2015
Goodwill (not amortized), Net Book Value |  | $ 1,182,772 | $ 1,169,813 | $ 1,169,660 | $ 1,069,041
Intangible assets with finite lives (amortized), Gross Carrying Amount |  | 768,932 | 756,132 |  |
Intangible assets with finite lives (amortized), Accumulated Amortization |  | 511,024 | 445,827 |  |
Intangible assets with finite lives (amortized), Net Book Value |  | 257,908 | 310,305 |  |
Total goodwill and acquired intangible assets |  | 1,440,680 | 1,480,118 |  |
Purchased Software [Member] |  |  |  |  |
Intangible assets with finite lives (amortized), Gross Carrying Amount | [1] | 362,955 | 354,595 |  |
Intangible assets with finite lives (amortized), Accumulated Amortization | [1] | 228,377 | 199,192 |  |
Intangible assets with finite lives (amortized), Net Book Value | [1] | $ 134,578 | 155,403 |  |
Weighted average useful lives (in years) |  | 9 years |  |  |
Capitalized Software [Member] |  |  |  |  |
Intangible assets with finite lives (amortized), Gross Carrying Amount | [1] | $ 22,877 | 22,877 |  |
Intangible assets with finite lives (amortized), Accumulated Amortization | [1] | 22,877 | 22,877 |  |
Intangible assets with finite lives (amortized), Net Book Value | [1] | 0 | 0 |  |
Customer Lists [Member] |  |  |  |  |
Intangible assets with finite lives (amortized), Gross Carrying Amount | [1] | 359,932 | 355,698 |  |
Intangible assets with finite lives (amortized), Accumulated Amortization | [1] | 241,554 | 206,515 |  |
Intangible assets with finite lives (amortized), Net Book Value | [1] | $ 118,378 | 149,183 |  |
Weighted average useful lives (in years) |  | 10 years |  |  |
Trademarks And Trade Names [Member] |  |  |  |  |
Intangible assets with finite lives (amortized), Gross Carrying Amount | [1] | $ 19,138 | 19,007 |  |
Intangible assets with finite lives (amortized), Accumulated Amortization | [1] | 14,186 | 13,323 |  |
Intangible assets with finite lives (amortized), Net Book Value | [1] | $ 4,952 | 5,684 |  |
Weighted average useful lives (in years) |  | 10 years |  |  |
Other [Member] |  |  |  |  |
Intangible assets with finite lives (amortized), Gross Carrying Amount | [1] | $ 4,030 | 3,955 |  |
Intangible assets with finite lives (amortized), Accumulated Amortization | [1] | 4,030 | 3,920 |  |
Intangible assets with finite lives (amortized), Net Book Value | [1] | $ 0 | $ 35 |  |
[1] | The weighted average useful lives of purchased software, customer lists and relationships, and trademarks and trade names with a remaining net book value are 9 years, 10 years, and 10 years, respectively.

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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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