Acquisition, Integration and Restructuring Expenses | Acquisition, Integration and Restructuring Expenses (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Oct. 31, 2019	Oct. 31, 2018	Oct. 31, 2019	Oct. 31, 2018
Acquisition and integration expenses [Line Items]
Acquisition, integration and restructuring expenses	$ 4,647	$ 20,277	$ 16,077	$ 66,799
TS
Acquisition and integration expenses [Line Items]
Acquisition, integration and restructuring expenses	0	7,153	0	35,332
TS | Restructuring Charges
Acquisition and integration expenses [Line Items]
Acquisition, integration and restructuring expenses		1,618		16,267
TS | IT Related Costs [Member]
Acquisition and integration expenses [Line Items]
Acquisition, integration and restructuring expenses		2,120		10,606
TS | Professional services
Acquisition and integration expenses [Line Items]
Acquisition, integration and restructuring expenses		807		5,213
TS | Transaction Related Costs [Member]
Acquisition and integration expenses [Line Items]
Acquisition, integration and restructuring expenses		268		1,461
TS | Other costs
Acquisition and integration expenses [Line Items]
Acquisition, integration and restructuring expenses		2,340		1,785
Apollo and DLT [Member] | Transaction Related Costs [Member]
Acquisition and integration expenses [Line Items]
Acquisition, integration and restructuring expenses	1,800		1,800
Americas
Acquisition and integration expenses [Line Items]
Restructuring Charges	3,500		7,800
Acquisition, integration and restructuring expenses		6,000		19,000
Americas | TS | Restructuring Charges
Acquisition and integration expenses [Line Items]
Acquisition, integration and restructuring expenses				3,600
Europe
Acquisition and integration expenses [Line Items]
Restructuring Charges	$ 1,000		$ 7,200
Acquisition, integration and restructuring expenses		13,100		44,400
Europe | TS | Restructuring Charges
Acquisition and integration expenses [Line Items]
Acquisition, integration and restructuring expenses		$ 1,600		$ 12,700