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Financial Instruments (Fair Value of Derivative Instruments) (Details) - USD ($) $ in Millions	3 Months Ended
	Apr. 30, 2020	Apr. 30, 2019	Jan. 31, 2020
Derivatives, Fair Value [Line Items]
Derivative assets	$ 12.4		$ 9.4
Derivative liabilities	6.5		4.7
Foreign currency contracts \| Designated as hedging instrument
Derivatives, Fair Value [Line Items]
Amount of gain recognized in accumulated other comprehensive loss on derivatives (effective portion)	5.1	$ 4.0
Amount of gain (loss) reclassified from accumulated other comprehensive loss into income (loss) (effective portion)	1.2	0.7
Foreign currency contracts \| Designated as hedging instrument \| Prepaid expenses and other current assets
Derivatives, Fair Value [Line Items]
Derivative assets	7.4		1.0
Foreign currency contracts \| Designated as hedging instrument \| Other accrued liabilities
Derivatives, Fair Value [Line Items]
Derivative liabilities	4.0		2.8
Foreign currency contracts \| Derivatives not designated as hedging instruments \| Prepaid expenses and other current assets
Derivatives, Fair Value [Line Items]
Derivative assets	5.0		8.4
Foreign currency contracts \| Derivatives not designated as hedging instruments \| Other accrued liabilities
Derivatives, Fair Value [Line Items]
Derivative liabilities	2.5		$ 1.9
Net revenue \| Foreign currency contracts \| Designated as hedging instrument
Derivatives, Fair Value [Line Items]
Amount of gain (loss) reclassified from accumulated other comprehensive loss into income (loss) (effective portion)	2.7	3.5
Cost of revenue \| Foreign currency contracts \| Designated as hedging instrument
Derivatives, Fair Value [Line Items]
Amount of gain (loss) reclassified from accumulated other comprehensive loss into income (loss) (effective portion)	(0.2)	(0.1)
Operating expenses \| Foreign currency contracts \| Designated as hedging instrument
Derivatives, Fair Value [Line Items]
Amount of gain (loss) reclassified from accumulated other comprehensive loss into income (loss) (effective portion)	(1.3)	(2.7)
Interest and other expense, net \| Foreign currency contracts \| Derivatives not designated as hedging instruments
Derivatives, Fair Value [Line Items]
Amount and location of (loss) gain recognized on derivatives in net income (loss)	$ (1.0)	$ 4.1