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Property and Equipment, Net of Accumulated Depreciation (Components of Property and Equipment, at Cost) (Details) - USD ($) $ in Millions | Feb. 28, 2019 | May 31, 2018
--- | --- | ---
Property, Plant and Equipment [Line Items] |  |  |  |
Total property and equipment, gross |  | $ 1,251.6 | $ 1,182.7 |
Less: Accumulated depreciation |  | 846.9 | 789.2 |
Property and equipment, net of accumulated depreciation |  | 404.7 | 393.5 | [1]
Land and Improvements [Member] |  |  |  |
Property, Plant and Equipment [Line Items] |  |  |  |
Total property and equipment, gross |  | 10.8 | 10.6 |
Buildings and Improvements [Member] |  |  |  |
Property, Plant and Equipment [Line Items] |  |  |  |
Total property and equipment, gross |  | 162.0 | 126.4 |
Data Processing Equipment [Member] |  |  |  |
Property, Plant and Equipment [Line Items] |  |  |  |
Total property and equipment, gross |  | 216.9 | 211.3 |
Software [Member] |  |  |  |
Property, Plant and Equipment [Line Items] |  |  |  |
Total property and equipment, gross | [2] | 616.2 | 545.5 |
Furniture, Fixtures, and Equipment [Member] |  |  |  |
Property, Plant and Equipment [Line Items] |  |  |  |
Total property and equipment, gross |  | 116.1 | 114.5 |
Leasehold Improvements [Member] |  |  |  |
Property, Plant and Equipment [Line Items] |  |  |  |
Total property and equipment, gross |  | 106.1 | 111.4 |
Construction in Progress [Member] |  |  |  |
Property, Plant and Equipment [Line Items] |  |  |  |
Total property and equipment, gross | [2] | $ 23.5 | $ 63.0 |
[1] | Amounts have been adjusted to reflect the adoption of ASC Topic 606.
[2] | Software includes both purchased software and costs capitalized related to internally developed software placed in service. Capitalized costs related to internally developed software that has not yet been placed in service is included in construction in progress.

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- Definition Amount before accumulated depreciation, depletion and amortization of physical assets used in the normal conduct of business and not intended for resale. Examples include, but are not limited to, land, buildings, machinery and equipment, office equipment, and furniture and fixtures. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 360 -SubTopic 10 -Section 50 -Paragraph 1 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=6391035&loc=d3e2868-110229 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 210 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.5-02.13) -URI http://asc.fasb.org/extlink&oid=6877327&loc=d3e13212-122682 + Details
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