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Cloud Computing Arrangements (Details) - USD ($) $ in Millions | 3 Months Ended |
--- | --- | ---
Apr. 30, 2021 | Apr. 30, 2020 | Jan. 31, 2021
Capitalized Contract Cost [Line Items] |  |  |
Capitalized contract cost | $ 118.1 |  | $ 120.9
Amortization expense | 25.8 | $ 22.8 |
Cloud-based Software Hosting Arrangements |  |  |
Capitalized Contract Cost [Line Items] |  |  |
Capitalized contract cost | 87.7 |  | 72.2
Accumulated amortization | 6.3 |  | $ 4.9
Amortization expense | $ 1.4 | $ 0.9 |

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