Restructuring charges and other facility exit costs, net (Roll-forward)(Details) - USD ($) $ in Millions	3 Months Ended
Apr. 30, 2018	Apr. 30, 2018	Jan. 31, 2018
Restructuring Reserve [Roll Forward]
Beginning Balance	$ 55.5
Additions	22.5
Payments	(53.4)
Adjustments	(0.2)
Ending Balance	24.4
Current portion		$ 24.4	$ 55.5
Non-current portion		0.0	0.0
Total Restructuring Reserve	55.5	24.4	55.5
Fiscal 2018 Plan \| Employee termination costs
Restructuring Reserve [Roll Forward]
Beginning Balance	53.0
Additions	20.7
Payments	(51.3)
Adjustments	(0.6)
Ending Balance	21.8
Total Restructuring Reserve	53.0	21.8	53.0
Fiscal 2018 Plan \| Lease termination and other exit costs
Restructuring Reserve [Roll Forward]
Beginning Balance	2.5
Additions	1.8
Payments	(2.1)
Adjustments	0.4
Ending Balance	2.6
Total Restructuring Reserve	$ 2.5	$ 2.6	$ 2.5

Amount of cash payments made as the result of exit or disposal activities. Excludes payments associated with a discontinued operation or an asset retirement obligation.

Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
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Amount of expenses associated with exit or disposal activities pursuant to an authorized plan. Excludes expenses related to a discontinued operation or an asset retirement obligation.

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Carrying amount (including both current and noncurrent portions of the accrual) as of the balance sheet date pertaining to a specified type of cost associated with exit from or disposal of business activities or restructuring pursuant to a duly authorized plan.

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Carrying amount as of the balance sheet date of known and estimated obligations associated with exit from or disposal of business activities or restructurings pursuant to a duly authorized plan, which are expected to be paid in the next twelve months or in the normal operating cycle if longer. Costs of such activities include those for one-time termination benefits, termination of an operating lease or other contract, consolidating or closing facilities, relocating employees, and costs associated with an ongoing benefit arrangement, but excludes costs associated with the retirement of a long-lived asset.

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Amount of increase (decrease) in the restructuring reserve related to foreign currency translation (gain) loss and other increases (decreases).

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