Other Intangible Assets and Related Accumulated Amortization (Details) (USD $) In Millions, unless otherwise specified	Apr. 30, 2014		Jan. 31, 2014
Finite-Lived Intangible Assets, Net [Abstract]
Developed technologies, at cost	$ 501.7		$ 462.4
Customer relationships, trade names, patents, and user list, at cost	333.1	[1]	268.1	[1]
Other intangible assets, gross	834.8		730.5
Less: Accumulated amortization	(650.3)		(626.2)
Other intangible assets, net	$ 184.5		$ 104.3

[1] Included in “Other assets” in the accompanying Condensed Consolidated Balance Sheets. Customer relationships and trade names include the effects of foreign currency translation.