Leases - Lease Costs and Cash Flow Information (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 31, 2022	Jan. 31, 2021
Lessee, Lease, Description [Line Items]
Operating lease cost	$ 98.3	$ 101.4
Variable lease cost	12.4	12.0
Cash paid for operating leases included in operating cash flows	106.8	96.3
Non-cash operating lease liabilities arising from obtaining operating right-of-use assets	52.9	67.4
Variable lease, payment	12.4	12.0
Cost of subscription and maintenance revenue
Lessee, Lease, Description [Line Items]
Operating lease cost	8.1	7.2
Variable lease cost	1.0	0.9
Cost of other revenue
Lessee, Lease, Description [Line Items]
Operating lease cost	2.3	1.9
Variable lease cost	0.3	0.2
Marketing and sales
Lessee, Lease, Description [Line Items]
Operating lease cost	43.2	45.0
Variable lease cost	5.4	5.3
Research and development
Lessee, Lease, Description [Line Items]
Operating lease cost	30.3	29.2
Variable lease cost	3.8	3.5
General and administrative
Lessee, Lease, Description [Line Items]
Operating lease cost	14.4	18.1
Variable lease cost	$ 1.9	$ 2.1