Business and Summary of Significant Accounting Policies - Changes In the Carrying Amount of Goodwill (Details) (USD $) In Millions, unless otherwise specified	12 Months Ended
	Jan. 31, 2015	Jan. 31, 2014	Jan. 31, 2013	Feb. 06, 2014	May 29, 2014
Goodwill [Roll Forward]
Goodwill before accumulated impairments	$ 1,159.1	$ 1,020.7
Accumulated impairment losses	(149.2)	(149.2)
Goodwill, beginning of period	1,009.9	871.5
Effect of foreign currency translation, purchase accounting adjustments, and other	(54.9)	(2.0)
Goodwill before accumulated impairments	1,605.4	1,159.1	1,020.7
Accumulated impairment losses	(149.2)	(149.2)	(149.2)
Goodwill, end of period	1,456.2	1,009.9	871.5
Impairment loss	0	0	0
Delcam plc
Goodwill [Roll Forward]
Goodwill, beginning of period				166.0
Goodwill acquired during period	196.1
Goodwill, end of period	190.4			166.0
Within Technologies Limited
Goodwill [Roll Forward]
Goodwill, beginning of period					78.9
Goodwill acquired during period	80.6
Goodwill, end of period	80.6				78.9
Shotgun Software Inc.
Goodwill [Roll Forward]
Goodwill acquired during period	43.2
Goodwill, end of period	43.2
Graitec SA
Goodwill [Roll Forward]
Goodwill acquired during period		73.4
Goodwill acquired from other acquisitions
Goodwill [Roll Forward]
Goodwill acquired during period	181.3	67.0
Platform Solutions and Emerging Business
Goodwill [Roll Forward]
Goodwill before accumulated impairments	142.3	129.5
Accumulated impairment losses	0	0
Goodwill, beginning of period	142.3	129.5
Effect of foreign currency translation, purchase accounting adjustments, and other	(13.2)	0
Goodwill before accumulated impairments	327.5	142.3
Accumulated impairment losses	0	0
Goodwill, end of period	327.5	142.3
Platform Solutions and Emerging Business | Delcam plc
Goodwill [Roll Forward]
Goodwill acquired during period	0
Platform Solutions and Emerging Business | Within Technologies Limited
Goodwill [Roll Forward]
Goodwill acquired during period	80.6
Platform Solutions and Emerging Business | Shotgun Software Inc.
Goodwill [Roll Forward]
Goodwill acquired during period	0
Platform Solutions and Emerging Business | Graitec SA
Goodwill [Roll Forward]
Goodwill acquired during period		0
Platform Solutions and Emerging Business | Goodwill acquired from other acquisitions
Goodwill [Roll Forward]
Goodwill acquired during period	117.8	12.8
Architecture, Engineering, and Construction
Goodwill [Roll Forward]
Goodwill before accumulated impairments	415.2	310.3
Accumulated impairment losses	0	0
Goodwill, beginning of period	415.2	310.3
Effect of foreign currency translation, purchase accounting adjustments, and other	(16.3)	(0.5)
Goodwill before accumulated impairments	427.0	415.2
Accumulated impairment losses	0	0
Goodwill, end of period	427.0	415.2
Architecture, Engineering, and Construction | Delcam plc
Goodwill [Roll Forward]
Goodwill acquired during period	0
Architecture, Engineering, and Construction | Within Technologies Limited
Goodwill [Roll Forward]
Goodwill acquired during period	0
Architecture, Engineering, and Construction | Shotgun Software Inc.
Goodwill [Roll Forward]
Goodwill acquired during period	0
Architecture, Engineering, and Construction | Graitec SA
Goodwill [Roll Forward]
Goodwill acquired during period		73.4
Architecture, Engineering, and Construction | Goodwill acquired from other acquisitions
Goodwill [Roll Forward]
Goodwill acquired during period	28.1	32.0
Manufacturing
Goodwill [Roll Forward]
Goodwill before accumulated impairments	411.6	389.9
Accumulated impairment losses	0	0
Goodwill, beginning of period	411.6	389.9
Effect of foreign currency translation, purchase accounting adjustments, and other	(9.0)	(0.5)
Goodwill before accumulated impairments	422.7	411.6
Accumulated impairment losses	0	0
Goodwill, end of period	422.7	411.6
Manufacturing | Delcam plc
Goodwill [Roll Forward]
Goodwill acquired during period	0
Manufacturing | Within Technologies Limited
Goodwill [Roll Forward]
Goodwill acquired during period	0
Manufacturing | Shotgun Software Inc.
Goodwill [Roll Forward]
Goodwill acquired during period	0
Manufacturing | Graitec SA
Goodwill [Roll Forward]
Goodwill acquired during period		0
Manufacturing | Goodwill acquired from other acquisitions
Goodwill [Roll Forward]
Goodwill acquired during period	20.1	22.2
Media and Entertainment
Goodwill [Roll Forward]
Goodwill before accumulated impairments	190.0	191.0
Accumulated impairment losses	(149.2)	(149.2)
Goodwill, beginning of period	40.8	41.8
Effect of foreign currency translation, purchase accounting adjustments, and other	(3.3)	(1.0)
Goodwill before accumulated impairments	245.2	190.0
Accumulated impairment losses	(149.2)	(149.2)
Goodwill, end of period	96.0	40.8
Media and Entertainment | Delcam plc
Goodwill [Roll Forward]
Goodwill acquired during period	0
Media and Entertainment | Within Technologies Limited
Goodwill [Roll Forward]
Goodwill acquired during period	0
Media and Entertainment | Shotgun Software Inc.
Goodwill [Roll Forward]
Goodwill acquired during period	43.2
Media and Entertainment | Graitec SA
Goodwill [Roll Forward]
Goodwill acquired during period		0
Media and Entertainment | Goodwill acquired from other acquisitions
Goodwill [Roll Forward]
Goodwill acquired during period	15.3	0
Delcam plc
Goodwill [Roll Forward]
Goodwill before accumulated impairments	0
Accumulated impairment losses	0
Goodwill, beginning of period	0
Effect of foreign currency translation, purchase accounting adjustments, and other	(13.1)
Goodwill before accumulated impairments	183.0
Accumulated impairment losses	0
Goodwill, end of period	183.0
Delcam plc | Delcam plc
Goodwill [Roll Forward]
Goodwill acquired during period	196.1
Delcam plc | Within Technologies Limited
Goodwill [Roll Forward]
Goodwill acquired during period
Delcam plc | Shotgun Software Inc.
Goodwill [Roll Forward]
Goodwill acquired during period
Delcam plc | Goodwill acquired from other acquisitions
Goodwill [Roll Forward]
Goodwill acquired during period