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Service Revenue (Summary of Disaggregates Revenue by Services) (Details) - USD ($) $ in Millions | 3 Months Ended | 9 Months Ended
--- | --- | ---
Feb. 28, 2019 | Feb. 28, 2018 | [1] | Feb. 28, 2019 | Feb. 28, 2018 | [1]
Disaggregation of Revenue [Line Items] |  |  |  |  |
Total service revenue |  | $ 1,047.4 | $ 918.0 | $ 2,733.7 | $ 2,486.2
Management Solutions [Member] |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |
Total service revenue |  | 801.6 | 768.8 | 2,174.7 | 2,088.2
PEO And Insurance Services [Member] |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |
Total service revenue | [2] | $ 245.8 | $ 149.2 | $ 559.0 | $ 398.0
[1] | Amounts have been adjusted to reflect the adoption of Accounting Standards Codification ("ASC") Topic 606, "Revenue from Contracts with Customers" ("ASC Topic 606").
[2] | Professional Employer Organization ("PEO") revenue is reported net of certain direct pass-through costs billed and incurred, which include payroll wages, payroll taxes, including federal and state unemployment insurance, and certain guaranteed benefit plan direct costs. Refer to Note B for further details.

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