Cloud Computing Arrangements (Details) - USD ($)	3 Months Ended
	Apr. 30, 2020	Apr. 30, 2019	Jan. 31, 2020
Capitalized Contract Cost [Line Items]
Capitalized contract cost	$ 91,500,000		$ 98,800,000
Amortization expense	22,800,000	$ 24,700,000
Cloud-based Software Hosting Arrangements
Capitalized Contract Cost [Line Items]
Capitalized contract cost	31,100,000		22,300,000
Accumulated amortization	2,100,000		$ 1,200,000
Amortization expense	$ 900,000	$ 0