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Business Combinations (Narrative) (Details) $ in Millions |  |  |  | 3 Months Ended | 9 Months Ended |
--- | --- | --- | --- | --- | --- | ---
Dec. 20, 2018 USD ($) | Feb. 28, 2018 USD ($) | Aug. 18, 2017 USD ($) state | Feb. 28, 2019 USD ($) | Feb. 28, 2018 USD ($) | Feb. 28, 2019 USD ($) | Feb. 28, 2018 USD ($) | May 31, 2018 USD ($) | [1]
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Restricted cash | [2] |  |  | [1] |  | $ 134.4 |  | [1] | $ 134.4 |  |  | [1] |
Revenues |  |  |  |  |  | 1,070.4 | 936.1 | [3] | 2,792.1 |  | 2,532.0 | [3] |
Net income |  |  |  |  |  | 324.6 | 367.2 | [1],[3] | 804.0 | [2] | 776.4 | [1],[2],[3] |
Goodwill |  |  |  |  |  | 1,781.5 |  |  | $ 1,781.5 |  |  |  | $ 814.0
Oasis Outsourcing Group Holdings, L.P. [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Effective acquisition date |  |  |  |  |  |  |  |  | Dec. 20, 2018 |  |  |  |
Purchase price |  | $ 984.1 |  |  |  |  |  |  |  |  |  |  |
Restricted cash |  | 132.1 |  |  |  |  |  |  |  |  |  |  |
Credit facility portion of purchase price |  | 800.0 |  |  |  |  |  |  |  |  |  |  |
Cash acquired |  | 262.3 |  |  |  |  |  |  |  |  |  |  |
Revenues |  |  |  |  |  | 72.7 |  |  | $ 72.7 |  |  |  |
Net income |  |  |  |  |  | 3.5 |  |  | 3.5 |  |  |  |
Incurred acquisition and integration costs |  |  |  |  |  | $ 1.4 |  |  | 3.8 |  |  |  |
Intangible assets |  | 310.9 |  |  |  |  |  |  |  |  |  |  |
Goodwill |  | $ 968.8 |  |  |  |  |  |  |  |  |  |  |
Excluded incurred costs related to acquisition |  |  |  |  |  |  |  |  | 2.7 |  |  |  |
Excluded incurred costs related to acquisition, net of tax |  |  |  |  |  |  |  |  | $ 2.0 |  |  |  |
Included incurred costs related to acquisition |  |  |  |  |  |  |  |  |  |  | 2.7 |  |
Included incurred costs related to acquisition, net of tax |  |  |  |  |  |  |  |  |  |  | 1.7 |  |
Oasis Outsourcing Group Holdings, L.P. [Member] | Weighted Average [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Amortization period |  | 10 years |  |  |  |  |  |  |  |  |  |  |
Lessor Group [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Effective acquisition date |  |  |  |  |  |  |  |  | Feb. 28, 2018 |  |  |  |
Purchase price |  |  | 162.5 |  |  |  |  |  |  |  |  |  |
Cash acquired |  |  | 13.4 |  |  |  |  |  |  |  |  |  |
Goodwill |  |  | $ 112.3 |  |  |  | $ 112.3 |  |  |  | $ 112.3 |  |
HR Outsourcing Holdings, Inc. [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Effective acquisition date |  |  |  |  |  |  |  |  | Aug. 18, 2017 |  |  |  |
Purchase price |  |  |  |  | $ 75.4 |  |  |  |  |  |  |  |
Cash portion of purchase price |  |  |  |  | 42.2 |  |  |  |  |  |  |  |
Common stock issued portion of purchase price |  |  |  |  | 33.2 |  |  |  |  |  |  |  |
Goodwill |  |  |  |  | $ 51.1 |  |  |  |  |  |  |  |
HR Outsourcing Holdings, Inc. [Member] | Minimum [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Number of states | state |  |  |  |  | 35 |  |  |  |  |  |  |  |
[1] | Amounts have been adjusted to reflect the adoption of ASC Topic 606.
[2] | Amounts have been adjusted to reflect the adoption of Accounting Standards Update ("ASU") No. 2016-18, "Statement of Cash Flows (Topic 230): Restricted Cash (a consensus of the FASB Emerging Issues Task Force)."
[3] | Amounts have been adjusted to reflect the adoption of Accounting Standards Codification ("ASC") Topic 606, "Revenue from Contracts with Customers" ("ASC Topic 606").

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