Other Intangible Assets and Related Accumulated Amortization (Details) - USD ($) $ in Millions		Oct. 31, 2016	Jan. 31, 2016
Finite-Lived Intangible Assets [Line Items]
Other intangible assets, at cost	[1]	$ 958.7	$ 943.0
Less: Accumulated amortization		(844.1)	(796.2)
Other intangible assets, net		114.6	146.8
Developed technologies, at cost
Finite-Lived Intangible Assets [Line Items]
Other intangible assets, at cost		583.3	571.4
Customer relationships, trade names, patents, and user list, at cost
Finite-Lived Intangible Assets [Line Items]
Other intangible assets, at cost	[2]	$ 375.4	$ 371.6

[1] Includes the effects of foreign currency translation.

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