Interest and Other Expense, net (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 31, 2022	Jan. 31, 2021	Jan. 31, 2020
Other Income and Expenses [Abstract]
Interest and investment expense, net	$ (65.0)	$ (51.1)	$ (54.0)
Gain on foreign currency	0.4	3.5	3.9
Gain (loss) on strategic investments	4.0	(41.7)	(3.3)
Other income	7.7	6.9	5.2
Interest and other expense, net	$ (52.9)	$ (82.4)	$ (48.2)