Segments Concerning the Operations Of Reportable Segments (Details) (USD $) In Millions, unless otherwise specified	3 Months Ended
	Apr. 30, 2014 segment		Apr. 30, 2013
Segment Reporting [Abstract]
Number of reportable segments	4
Segment Reporting Information [Line Items]
Net revenue	$ 592.5		$ 570.4
Gross profit	513.8		502.9
Platform Solutions and Emerging Business
Segment Reporting Information [Line Items]
Net revenue	211.9		212.7
Gross profit	191.0		195.2
Architecture, Engineering and Construction
Segment Reporting Information [Line Items]
Net revenue	195.5		172.1
Gross profit	175.6		155.5
Manufacturing
Segment Reporting Information [Line Items]
Net revenue	147.3		139.1
Gross profit	132.7		127.5
Media and Entertainment
Segment Reporting Information [Line Items]
Number of product groups	2
Net revenue	37.8		46.5
Gross profit	29.0		37.0
Unallocated
Segment Reporting Information [Line Items]
Gross profit	$ (14.5)	[1]	$ (12.3)	[1]

[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.