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Leases (Tables)
3 Months Ended
Apr. 30, 2020
Leases [Abstract]  
Lease Cost and Cash Flow Information
The components of lease cost were as follows:
 
Three Months Ended April 30, 2020
(in millions)
Cost of subscription and maintenance revenue
 
Cost of other revenue
 
Marketing and sales
 
Research and development
 
General and administrative
 
Total
Operating lease cost
$
2.0

 
$
0.7

 
$
11.5

 
$
7.9

 
$
3.4

 
$
25.5

Variable lease cost
$
0.3

 
$
0.1

 
$
1.5

 
$
1.1

 
$
0.4

 
$
3.4


 
Three Months Ended April 30, 2019
(in millions)
Cost of subscription and maintenance revenue
 
Cost of other revenue
 
Marketing and sales
 
Research and development
 
General and administrative
 
Total
Operating lease cost
$
1.6

 
$
0.4

 
$
8.8

 
$
6.7

 
$
2.8

 
$
20.3

Variable lease cost
$
0.2

 
$
0.1

 
$
1.3

 
$
1.0

 
$
0.4

 
$
3.0


  
Supplemental operating cash flow information related to leases is as follows:
 
Three Months Ended April 30,
(in millions)
2020
 
2019
Cash paid for operating leases included in operating cash flows (1)
$
24.9

 
$
23.6

Non-cash operating lease liabilities arising from obtaining operating lease right-of-use assets
$
8.5

 
$
44.0

  _______________
(1) Includes $3.4 million and $3.0 million in variable lease payments for the three months ended April 30, 2020 and 2019, respectively, not included in "Operating lease liabilities" and "Long-term operating lease liabilities" on the Condensed Consolidated Balance Sheets.
Future Minimum Lease Payments

Maturities of operating lease liabilities were as follows (in millions):
Fiscal year ending
 
2021 (remainder)
$
43.5

2022
88.5

2023
85.0

2024
71.9

2025
53.0

Thereafter
169.0

 
510.9

Less imputed interest
62.9

Present value of operating lease liabilities
$
448.0