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Cloud Computing Arrangements (Details) - USD ($) | 3 Months Ended | 6 Months Ended |
--- | --- | --- | ---
Jul. 31, 2020 | Jul. 31, 2019 | Jul. 31, 2020 | Jul. 31, 2019 | Jan. 31, 2020
Capitalized Contract Cost [Line Items] |  |  |  |  |
Capitalized contract cost | $ 88,300,000 |  | $ 88,300,000 |  | $ 98,800,000
Amortization expense | 23,600,000 | $ 25,500,000 | 46,400,000 | $ 50,200,000 |
Cloud-based Software Hosting Arrangements |  |  |  |  |
Capitalized Contract Cost [Line Items] |  |  |  |  |
Capitalized contract cost | 44,300,000 |  | 44,300,000 |  | 22,300,000
Accumulated amortization | 2,900,000 |  | 2,900,000 |  | $ 1,200,000
Amortization expense | $ 800,000 | $ 0 | $ 1,700,000 | $ 0 |

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