Other Intangible Assets and Related Accumulated Amortization (Details) - USD ($) $ in Millions		Oct. 31, 2015	Jan. 31, 2015
Finite-Lived Intangible Assets [Line Items]
Other intangible assets, at cost	[1]	$ 931.2	$ 887.3
Less: Accumulated amortization		(777.6)	(715.4)
Other intangible assets, net		153.6	171.9
Developed technologies, at cost
Finite-Lived Intangible Assets [Line Items]
Other intangible assets, at cost		565.3	538.4
Customer relationships, trade names, patents, and user list, at cost
Finite-Lived Intangible Assets [Line Items]
Other intangible assets, at cost	[2]	$ 365.9	$ 348.9

[1] Includes the effects of foreign currency translation.

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