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Debt (Tables)
3 Months Ended
Oct. 31, 2020
Debt Disclosure [Abstract]  
Convertible debt, other details
The following table presents details of our Notes (number of shares in millions):
 Conversion Rate per $1,000 PrincipalInitial Conversion PriceConvertible DateInitial Number of Shares
2023 Notes3.7545 $266.35 April 1, 20236.4 
2025 Notes3.3602 $297.60 March 1, 20256.7 
Components of convertible senior notes
The following table sets forth the components of the Notes as of October 31, 2020 and July 31, 2020 (in millions):
October 31, 2020July 31, 2020
2023 Notes2025 NotesTotal2023 Notes2025 NotesTotal
Liability component:
Principal$1,693.0 $2,000.0 $3,693.0 $1,693.0 $2,000.0 $3,693.0 
Less: debt discount and debt issuance costs, net of amortization183.8 390.1 573.9 200.0 408.9 608.9 
Net carrying amount$1,509.2 $1,609.9 $3,119.1 $1,493.0 $1,591.1 $3,084.1 
Equity component$315.0 $403.0 $718.0 $315.0 $403.0 $718.0 
Interest expense recognized related to the convertible senior notes
The following table sets forth interest expense recognized related to the Notes (dollars in millions):
Three Months Ended October 31,
20202019
2023 Notes2025 NotesTotal2023 NotesTotal
Contractual interest expense$3.2 $1.9 $5.1 $3.2$3.2 
Amortization of debt discount15.7 18.2 33.9 15.015.0 
Amortization of debt issuance costs0.5 0.7 1.2 0.50.5 
Total interest expense recognized$19.4 $20.8 $40.2 $18.7$18.7 
Effective interest rate of the liability component5.2 %5.4 %5.2 %
Schedule of note hedge transactions
The following table presents details of our Note Hedges (in millions):
Initial Number of SharesAggregate Purchase
2023 Note Hedges6.4 $332.0 
2025 Note Hedges6.7 $370.8 
Warrants details
The following table presents details of the Warrants (in millions, except per share data):
Initial Number
of Shares
Strike Price
per Share
Aggregate
Proceeds
2023 Warrants6.4 $417.80 $145.4 
2025 Warrants6.7 $408.47 $202.8