Business and Summary of Significant Accounting Policies - Other Intangible Assets and Related Accumulated Amortization (Details) - USD ($) $ in Millions		12 Months Ended
		Jan. 31, 2017	Jan. 31, 2016	Jan. 31, 2015
Finite-Lived Intangible Assets, Net [Abstract]
Amortization of intangible assets		$ 31.8	$ 33.2	$ 39.8
Developed technologies, at cost		583.6	571.4
Customer relationships, trade names, patents, and user lists, at cost	[1]	375.9	371.6
Other intangible assets, at cost	[2]	959.5	943.0
Less: Accumulated amortization		(862.0)	(796.2)
Other intangible assets, net		$ 97.5	146.8
Weighted average useful life		4 years 7 months 6 days
Customer Relationships, Trade Names, Patents, and User List
Finite-Lived Intangible Assets, Net [Abstract]
Amortization of intangible assets		$ 72.2	$ 82.6	$ 92.9
Customer Relationships, Trade Names, Patents, and User List | Minimum
Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Asset, Useful Life		1 year
Customer Relationships, Trade Names, Patents, and User List | Maximum
Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Asset, Useful Life		10 years

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

[2] Includes the effects of foreign currency translation.