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Leases - Lease Costs and Cash Flow Information (Details) - USD ($) $ in Millions | 3 Months Ended
--- | ---
Apr. 30, 2021 | Apr. 30, 2020
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |
Operating lease cost | $ 24.9 | $ 25.5
Variable lease cost | 5.3 | 3.4
Cash paid for operating leases included in operating cash flows | 29.9 | 24.9
Non-cash operating lease liabilities arising from obtaining operating lease right-of-use assets | 4.5 | 8.5
Variable lease payments | 5.3 | 3.4
Cost of subscription and maintenance revenue |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |
Operating lease cost | 1.9 | 2.0
Variable lease cost | 0.4 | 0.3
Cost of other revenue |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |
Operating lease cost | 0.5 | 0.7
Variable lease cost | 0.1 | 0.1
Marketing and sales |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |
Operating lease cost | 10.8 | 11.5
Variable lease cost | 2.3 | 1.5
Research and development |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |
Operating lease cost | 8.0 | 7.9
Variable lease cost | 1.7 | 1.1
General and administrative |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |
Operating lease cost | 3.7 | 3.4
Variable lease cost | $ 0.8 | $ 0.4

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- Definition Amount of single lease cost, calculated by allocation of remaining cost of lease over remaining lease term. Includes, but is not limited to, single lease cost, after impairment of right-of-use asset, calculated by amortization of remaining right-of-use asset and accretion of lease liability. + References Reference 1: http://www.xbrl.org/2003/role/exampleRef -Publisher FASB -Name Accounting Standards Codification -Topic 842 -SubTopic 20 -Section 55 -Paragraph 53 -URI http://asc.fasb.org/extlink&oid=121568110&loc=SL77918982-209971 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 842 -SubTopic 20 -Section 50 -Paragraph 4 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=121609121&loc=SL77918686-209980 + Details
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- Definition Amount of variable lease cost, excluded from lease liability, recognized when obligation for payment is incurred for finance and operating leases. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 842 -SubTopic 20 -Section 50 -Paragraph 4 -Subparagraph (d) -URI http://asc.fasb.org/extlink&oid=121609121&loc=SL77918686-209980 Reference 2: http://www.xbrl.org/2003/role/exampleRef -Publisher FASB -Name Accounting Standards Codification -Topic 842 -SubTopic 20 -Section 55 -Paragraph 53 -URI http://asc.fasb.org/extlink&oid=121568110&loc=SL77918982-209971 + Details
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