Other Intangible Assets and Related Accumulated Amortization (Details) (USD $) In Millions, unless otherwise specified	Apr. 30, 2015		Jan. 31, 2015
Finite-Lived Intangible Assets [Line Items]
Other intangible assets, gross	$ 900.8	[1]	$ 887.3	[1]
Less: Accumulated amortization	(737.4)		(715.4)
Other intangible assets, net	163.4		171.9
Developed technologies, at cost
Finite-Lived Intangible Assets [Line Items]
Other intangible assets, gross	550.2		538.4
Customer relationships, trade names, patents, and user list, at cost
Finite-Lived Intangible Assets [Line Items]
Other intangible assets, gross	$ 350.6	[2]	$ 348.9	[2]

[1] Includes the effects of foreign currency translation.

[2] Included in “Other assets” in the accompanying Condensed Consolidated Balance Sheets.