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Financial Instruments- Fair Value of Derivative Instruments (Details) - USD ($)
$ in Millions
12 Months Ended
Jan. 31, 2022
Jan. 31, 2021
Jan. 31, 2020
Derivatives, Fair Value [Line Items]      
Derivative Assets $ 18.1 $ 10.0  
Derivative Liabilities 10.7 17.5  
Foreign currency contracts | Designated as hedging instrument      
Derivatives, Fair Value [Line Items]      
Amount of gain (loss), net of tax, recognized in accumulated other comprehensive loss on derivatives (effective portion) 31.0 (28.1) $ 3.0
Amount and location of (loss) gain reclassified from accumulated other comprehensive loss into income (effective portion) (17.1) 4.4 9.6
Foreign currency contracts | Designated as hedging instrument | Net revenue      
Derivatives, Fair Value [Line Items]      
Amount and location of (loss) gain reclassified from accumulated other comprehensive loss into income (effective portion) (11.9) (0.3) 17.6
Foreign currency contracts | Designated as hedging instrument | Cost of other revenue      
Derivatives, Fair Value [Line Items]      
Amount and location of (loss) gain reclassified from accumulated other comprehensive loss into income (effective portion) (0.5) 0.6 (0.9)
Foreign currency contracts | Designated as hedging instrument | Operating expenses      
Derivatives, Fair Value [Line Items]      
Amount and location of (loss) gain reclassified from accumulated other comprehensive loss into income (effective portion) (4.8) 4.1 (7.1)
Foreign currency contracts | Designated as hedging instrument | Interest and other expense, net      
Derivatives, Fair Value [Line Items]      
Amount and location of (loss) gain reclassified from accumulated other comprehensive loss into income (effective portion) 0.1 0.0 0.0
Foreign currency contracts | Not Designated as Hedging Instrument | Interest and other expense, net      
Derivatives, Fair Value [Line Items]      
Amount and location of gain (loss) recognized on derivatives in net income (loss) 11.2 (0.8) $ 6.0
Prepaid expenses and other current assets | Not Designated as Hedging Instrument      
Derivatives, Fair Value [Line Items]      
Derivative Assets 5.9 5.3  
Prepaid expenses and other current assets | Foreign currency contracts | Designated as hedging instrument      
Derivatives, Fair Value [Line Items]      
Derivative Assets 12.2 4.7  
Other accrued liabilities | Not Designated as Hedging Instrument      
Derivatives, Fair Value [Line Items]      
Derivative Liabilities 3.8 1.0  
Other accrued liabilities | Foreign currency contracts | Designated as hedging instrument      
Derivatives, Fair Value [Line Items]      
Derivative Liabilities $ 6.9 $ 16.5