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Goodwill and Intangible Assets, Net of Accumulated Amortization (Components of Intangible Assets, at Cost) (Details) - USD ($) $ in Millions | May 31, 2020 | May 31, 2019
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Intangible Assets [Line Items] |  |
Total intangible assets, gross | $ 641.7 | $ 631.2
Less: Accumulated amortization | 311.1 | 232.1
Intangible assets, net of accumulated amortization | 330.6 | 399.1
Other Intangible Assets [Member] |  |
Intangible Assets [Line Items] |  |
Total intangible assets, gross | 23.3 | 23.0
Client Lists [Member] |  |
Intangible Assets [Line Items] |  |
Total intangible assets, gross | $ 618.4 | $ 608.2

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- Definition Sum of the carrying amounts of all intangible assets, excluding goodwill, as of the balance sheet date, net of accumulated amortization and impairment charges. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph ((a)(1),(b)) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 45 -Paragraph 1 -URI http://asc.fasb.org/extlink&oid=6388964&loc=d3e16212-109274 + Details
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