Other Intangible Assets and Related Accumulated Amortization (Details) - USD ($) $ in Millions		Jul. 31, 2015	Jan. 31, 2015
Finite-Lived Intangible Assets [Line Items]
Other intangible assets, gross	[1]	$ 900.3	$ 887.3
Less: Accumulated amortization		(757.2)	(715.4)
Other intangible assets, net		143.1	171.9
Developed technologies, at cost
Finite-Lived Intangible Assets [Line Items]
Other intangible assets, gross		550.4	538.4
Customer relationships, trade names, patents, and user list, at cost
Finite-Lived Intangible Assets [Line Items]
Other intangible assets, gross	[2]	$ 349.9	$ 348.9

[1] Includes the effects of foreign currency translation.

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