Leases Leases - Lease Costs and Cash Flow Information (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 31, 2021	Jan. 31, 2020
Operating lease cost	$ 101.4	$ 86.8
Variable lease cost	12.0	12.2
Cash paid for operating leases included in operating cash flows	96.3	93.5
Non-cash operating lease liabilities arising from obtaining operating right-of-use assets	67.4	231.7
Variable lease, payment	12.0	12.2
Cost of subscription and maintenance revenue
Operating lease cost	7.2	6.6
Variable lease cost	0.9	0.9
Cost of other revenue
Operating lease cost	1.9	2.2
Variable lease cost	0.2	0.3
Marketing and sales
Operating lease cost	45.0	38.0
Variable lease cost	5.3	5.4
Research and development
Operating lease cost	29.2	27.3
Variable lease cost	3.5	3.8
General and administrative
Operating lease cost	18.1	12.7
Variable lease cost	$ 2.1	$ 1.8