Other Intangible Assets and Related Accumulated Amortization (Details) - USD ($) $ in Millions		Jul. 31, 2016	Jan. 31, 2016
Finite-Lived Intangible Assets [Line Items]
Other intangible assets, at cost	[1]	$ 972.4	$ 943.0
Less: Accumulated amortization		(832.3)	(796.2)
Other intangible assets, net		140.1	146.8
Developed technologies, at cost
Finite-Lived Intangible Assets [Line Items]
Other intangible assets, at cost		587.6	571.4
Customer relationships, trade names, patents, and user list, at cost
Finite-Lived Intangible Assets [Line Items]
Other intangible assets, at cost	[2]	$ 384.8	$ 371.6

[1] Includes the effects of foreign currency translation.

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