Income Taxes - Provision for Income Taxes (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 31, 2022	Jan. 31, 2021	Jan. 31, 2020
Federal:
Current	$ (0.5)	$ 9.8	$ (2.3)
Deferred	(5.4)	(741.0)	7.6
State:
Current	2.5	19.0	(0.4)
Deferred	0.3	(57.5)	2.1
Foreign:
Current	82.5	87.6	69.6
Deferred	(11.7)	20.6	3.7
Income tax provision (benefit)	$ 67.7	$ (661.5)	$ 80.3