Other Intangible Assets and Related Accumulated Amortization (Details) (USD $) In Millions, unless otherwise specified	Jul. 31, 2014		Jan. 31, 2014
Finite-Lived Intangible Assets [Line Items]
Other intangible assets, gross	$ 879.0		$ 730.5
Less: Accumulated amortization	(674.6)		(626.2)
Other intangible assets, net	204.4		104.3
Developed technologies, at cost
Finite-Lived Intangible Assets [Line Items]
Other intangible assets, gross	527.6		462.4
Customer relationships, trade names, patents, and user list, at cost
Finite-Lived Intangible Assets [Line Items]
Other intangible assets, gross	$ 351.4	[1]	$ 268.1	[1]

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