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Revenue Recognition (Contract Revenue) (Details) - USD ($) $ in Millions | 3 Months Ended
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Apr. 30, 2019 | Apr. 30, 2018
Disaggregation of Revenue [Line Items] |  |
Net revenue | $ 735.5 | $ 559.9
Contract with customer, liability, revenue recognized | 643.4 |
Indirect |  |
Disaggregation of Revenue [Line Items] |  |
Net revenue | 516.4 | 398.3
Direct |  |
Disaggregation of Revenue [Line Items] |  |
Net revenue | 219.1 | 161.6
Americas |  |
Disaggregation of Revenue [Line Items] |  |
Net revenue | 295.8 | 233.5
U.S. |  |
Disaggregation of Revenue [Line Items] |  |
Net revenue | 249.1 | 195.9
Other Americas |  |
Disaggregation of Revenue [Line Items] |  |
Net revenue | 46.7 | 37.6
Europe, Middle East and Africa |  |
Disaggregation of Revenue [Line Items] |  |
Net revenue | 297.2 | 220.9
Asia Pacific |  |
Disaggregation of Revenue [Line Items] |  |
Net revenue | 142.5 | 105.5
Architecture, Engineering and Construction |  |
Disaggregation of Revenue [Line Items] |  |
Net revenue | 304.3 | 221.8
AutoCAD and AutoCAD LT |  |
Disaggregation of Revenue [Line Items] |  |
Net revenue | 213.2 | 155.6
Manufacturing |  |
Disaggregation of Revenue [Line Items] |  |
Net revenue | 167.5 | 135.4
Media and Entertainment |  |
Disaggregation of Revenue [Line Items] |  |
Net revenue | 45.5 | 41.8
Other |  |
Disaggregation of Revenue [Line Items] |  |
Net revenue | $ 5.0 | $ 5.3

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- Definition Amount, excluding tax collected from customer, of revenue from satisfaction of performance obligation by transferring promised good or service to customer. Tax collected from customer is tax assessed by governmental authority that is both imposed on and concurrent with specific revenue-producing transaction, including, but not limited to, sales, use, value added and excise. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 606 -SubTopic 10 -Section 50 -Paragraph 4 -Subparagraph (a) -URI http://asc.fasb.org/extlink&oid=109196051&loc=SL49130543-203045 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 606 -SubTopic 10 -Section 50 -Paragraph 1 -Subparagraph (a) -URI http://asc.fasb.org/extlink&oid=109196051&loc=SL49130539-203045 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 606 -SubTopic 10 -Section 50 -Paragraph 5 -URI http://asc.fasb.org/extlink&oid=109196051&loc=SL49130545-203045 + Details
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