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Financial Instruments (Fair Value of Derivative Instruments) (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Oct. 31, 2020	Oct. 31, 2019	Oct. 31, 2020	Oct. 31, 2019	Jan. 31, 2020
Derivatives, Fair Value [Line Items]
Derivative assets	$ 9.6		$ 9.6		$ 9.4
Derivative liabilities	13.7		13.7		4.7
Foreign currency contracts \| Designated as hedging instrument
Derivatives, Fair Value [Line Items]
Amount of gain (loss) recognized in accumulated other comprehensive loss on derivatives (effective portion)	6.7	$ (0.4)	(6.8)	$ 2.7
Amount of gain (loss) reclassified from accumulated other comprehensive loss into income (loss) (effective portion)	2.8	2.9	4.8	7.0
Foreign currency contracts \| Designated as hedging instrument \| Prepaid expenses and other current assets
Derivatives, Fair Value [Line Items]
Derivative assets	5.7		5.7		1.0
Foreign currency contracts \| Designated as hedging instrument \| Other accrued liabilities
Derivatives, Fair Value [Line Items]
Derivative liabilities	11.8		11.8		2.8
Foreign currency contracts \| Derivatives not designated as hedging instruments \| Prepaid expenses and other current assets
Derivatives, Fair Value [Line Items]
Derivative assets	3.9		3.9		8.4
Foreign currency contracts \| Derivatives not designated as hedging instruments \| Other accrued liabilities
Derivatives, Fair Value [Line Items]
Derivative liabilities	1.9		1.9		$ 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)	(0.2)	4.9	4.1	13.4
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)	0.4	(0.4)	0.1	(0.7)
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)	2.6	(1.6)	0.6	(5.7)
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	$ (0.8)	$ 1.5	$ (6.2)	$ 3.2