Business and Summary of Significant Accounting Policies - Changes In the Carrying Amount of Goodwill (Details) (USD $) In Millions, unless otherwise specified	12 Months Ended					12 Months Ended		12 Months Ended		12 Months Ended		12 Months Ended		12 Months Ended
	Jan. 31, 2014	Jan. 31, 2013	Jan. 31, 2012	Jan. 31, 2014 Graitec SA	Nov. 21, 2013 Graitec SA	Jan. 31, 2013 Vela Systems	Jun. 07, 2012 Vela Systems	Jan. 31, 2013 Socialcam	Aug. 02, 2012 Socialcam	Jan. 31, 2013 Qontext	Oct. 04, 2012 Qontext	Jan. 31, 2013 PI-VR	Dec. 21, 2012 PI-VR	Jan. 31, 2014 Goodwill acquired from other acquisitions	Jan. 31, 2013 Goodwill acquired from other acquisitions	Jan. 31, 2014 Platform Solutions and Emerging Business	Jan. 31, 2013 Platform Solutions and Emerging Business	Jan. 31, 2014 Platform Solutions and Emerging Business Graitec SA	Jan. 31, 2013 Platform Solutions and Emerging Business Vela Systems	Jan. 31, 2013 Platform Solutions and Emerging Business Socialcam	Jan. 31, 2013 Platform Solutions and Emerging Business Qontext	Jan. 31, 2013 Platform Solutions and Emerging Business PI-VR	Jan. 31, 2014 Platform Solutions and Emerging Business Goodwill acquired from other acquisitions	Jan. 31, 2013 Platform Solutions and Emerging Business Goodwill acquired from other acquisitions	Jan. 31, 2014 Architecture, Engineering and Construction	Jan. 31, 2013 Architecture, Engineering and Construction	Jan. 31, 2014 Architecture, Engineering and Construction Graitec SA	Jan. 31, 2013 Architecture, Engineering and Construction Vela Systems	Jan. 31, 2013 Architecture, Engineering and Construction Socialcam	Jan. 31, 2013 Architecture, Engineering and Construction Qontext	Jan. 31, 2013 Architecture, Engineering and Construction PI-VR	Jan. 31, 2014 Architecture, Engineering and Construction Goodwill acquired from other acquisitions	Jan. 31, 2013 Architecture, Engineering and Construction Goodwill acquired from other acquisitions	Jan. 31, 2014 Manufacturing	Jan. 31, 2013 Manufacturing	Jan. 31, 2014 Manufacturing Graitec SA	Jan. 31, 2013 Manufacturing Vela Systems	Jan. 31, 2013 Manufacturing Socialcam	Jan. 31, 2013 Manufacturing Qontext	Jan. 31, 2013 Manufacturing PI-VR	Jan. 31, 2014 Manufacturing Goodwill acquired from other acquisitions	Jan. 31, 2013 Manufacturing Goodwill acquired from other acquisitions	Jan. 31, 2014 Media and Entertainment	Jan. 31, 2013 Media and Entertainment	Jan. 31, 2014 Media and Entertainment Graitec SA	Jan. 31, 2013 Media and Entertainment Vela Systems	Jan. 31, 2013 Media and Entertainment Socialcam	Jan. 31, 2013 Media and Entertainment Qontext	Jan. 31, 2013 Media and Entertainment PI-VR	Jan. 31, 2014 Media and Entertainment Goodwill acquired from other acquisitions	Jan. 31, 2013 Media and Entertainment Goodwill acquired from other acquisitions
Goodwill [Line Items]
Goodwill before accumulated impairments	$ 1,020.7	$ 831.6														$ 129.5	$ 76.6								$ 310.3	$ 247.7								$ 389.9	$ 323.3								$ 191.0	$ 184.0
Accumulated impairment losses	(149.2)	(149.2)														0	0								0	0								0	0								(149.2)	(149.2)
Goodwill, beginning of period	871.5	682.4			73.4		57.5		23.0		24.0		36.8			129.5	76.6								310.3	247.7								389.9	323.3								41.8	34.8
Goodwill acquired during period				73.4		57.6		23.0		24.0		36.8		67.0	46.1			0	0	23.0	24.0	0	12.8	5.6			73.4	57.6	0	0	0	32.0	4.3				0	0	0	36.8	22.2	29.2				0	0	0	0	0	7.0
Effect of foreign currency translation, purchase accounting adjustments and other	(2.0)	1.6														0	0.3								(0.5)	0.7								(0.5)	0.6								(1.0)	0
Goodwill before accumulated impairments	1,159.1	1,020.7	831.6													142.3	129.5								415.2	310.3								411.6	389.9								190.0	191.0
Accumulated impairment losses	(149.2)	(149.2)	(149.2)													0	0								0	0								0	0								(149.2)	(149.2)
Goodwill, end of period	1,009.9	871.5	682.4		73.4		57.5		23.0		24.0		36.8			142.3	129.5								415.2	310.3								411.6	389.9								40.8	41.8
Impairment loss	$ 0	$ 0	$ 0