Segments Concerning the Operations Of Reportable Segments (Details) $ in Millions		3 Months Ended
		Apr. 30, 2016 USD ($) segment	Apr. 30, 2015 USD ($)
Segment Reporting Information [Line Items]
Number of reportable segments | segment		4
Net revenue		$ 511.9	$ 646.5
Gross profit		419.4	554.7
Segments
Segment Reporting Information [Line Items]
Net revenue		511.9	646.5
Unallocated
Segment Reporting Information [Line Items]
Gross profit	[1]	(14.4)	(16.4)
Architecture, Engineering and Construction | Segments
Segment Reporting Information [Line Items]
Net revenue		218.9	236.7
Gross profit		193.6	217.0
Manufacturing | Segments
Segment Reporting Information [Line Items]
Net revenue		158.0	184.6
Gross profit		136.1	158.1
Platform Solutions and Emerging Business | Segments
Segment Reporting Information [Line Items]
Net revenue		100.0	185.3
Gross profit		76.1	163.3
Media and Entertainment | Segments
Segment Reporting Information [Line Items]
Net revenue		35.0	39.9
Gross profit		$ 28.0	$ 32.7

[1] Unallocated amounts primarily relate to corporate expenses and other costs and expenses that are managed outside the reportable segments, including stock-based compensation expense.