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Revenue Recognition (Contract Revenue) (Details) - USD ($) $ in Millions | 3 Months Ended | 12 Months Ended
--- | --- | ---
Jan. 31, 2020 | Oct. 31, 2019 | Jul. 31, 2019 | Apr. 30, 2019 | Jan. 31, 2019 | Oct. 31, 2018 | Jul. 31, 2018 | Apr. 30, 2018 | Jan. 31, 2020 | Jan. 31, 2019 | Jan. 31, 2018
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net revenue | $ 899.3 | $ 842.7 | $ 796.8 | $ 735.5 | $ 737.3 | $ 660.9 | $ 611.7 | $ 559.9 | $ 3,274.3 | $ 2,569.8 | $ 2,056.6
Indirect |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net revenue |  |  |  |  |  |  |  |  | 2,282.2 | 1,830.8 | 1,443.8
Direct |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net revenue |  |  |  |  |  |  |  |  | 992.1 | 739.0 | 612.8
Americas |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net revenue |  |  |  |  |  |  |  |  | 1,335.8 | 1,049.9 | 871.1
U.S. |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net revenue |  |  |  |  |  |  |  |  | 1,108.9 | 874.6 | 740.4
Other Americas |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net revenue |  |  |  |  |  |  |  |  | 226.9 | 175.3 | 130.7
Europe, Middle East and Africa |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net revenue |  |  |  |  |  |  |  |  | 1,303.5 | 1,034.3 | 815.4
Asia Pacific |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net revenue |  |  |  |  |  |  |  |  | 635.0 | 485.6 | 370.1
Architecture, Engineering and Construction |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net revenue |  |  |  |  |  |  |  |  | 1,377.1 | 1,021.6 | 787.5
Manufacturing |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net revenue |  |  |  |  |  |  |  |  | 726.1 | 616.2 | 528.8
AutoCAD and AutoCAD LT |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net revenue |  |  |  |  |  |  |  |  | 948.2 | 731.8 | 561.4
Media and Entertainment |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net revenue |  |  |  |  |  |  |  |  | 199.2 | 182.0 | 152.1
Other |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net revenue |  |  |  |  |  |  |  |  | $ 23.7 | $ 18.2 | $ 26.8

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