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Description of Business, Basis of Presentation, and Significant Accounting Policies (Narrative) (Details) $ / shares in Units, $ in Millions |  |  | 12 Months Ended |  |
--- | --- | --- | --- | --- | ---
Jul. 09, 2020 $ / shares | Jun. 01, 2019 USD ($) | May 31, 2020 USD ($) segment | May 31, 2019 USD ($) | May 31, 2018 USD ($) | Dec. 20, 2018 USD ($) | Aug. 18, 2017 USD ($)
Accounting Policies [Line Items] |  |  |  |  |  |  |
Number of reportable segments | segment |  |  | 1 |  |  |  |
Cash and cash equivalents |  |  | $ 905.2 | $ 673.6 | $ 358.2 |  |
Allowance for doubtful accounts |  |  | 12.5 | 7.5 |  |  |
Advance collections |  |  | 6.1 | 4.2 |  |  |
Goodwill |  |  | 1,791.1 | 1,782.6 | 814.0 |  |
Goodwill, impairment loss |  |  | 0.0 | 0.0 | 0.0 |  |
Impairment of long-lived assets |  |  | 0.0 | 0.0 | 0.0 |  |
Realized gains or losses from foreign exchange transactions |  |  | 0.0 | 0.0 | $ 0.0 |  |
Impairment loss, assets recognized from the costs to obtain and fufill contracts |  |  | 0.0 | 0.0 |  |  |
Workers' compensation insurance costs in current liabilities |  |  | 72.3 | 71.1 |  |  |
Workers' compensation insurance costs in long-term liabilities |  |  | 101.3 | 99.2 |  |  |
Maximum individual health insurance claims liability |  |  | 0.3 | 0.3 |  |  |
PEO accrued health insurance and dental and vision plan reserves in current liabilities |  |  | 36.7 | 25.4 |  |  |
Reserve for uncertain tax positions |  |  | 26.5 | 21.6 |  |  |
Operating lease, right-of-use asset |  |  | 114.8 |  |  |  |
Operating lease, liability |  |  | 134.1 |  |  |  |
Subsequent Event [Member] |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |
Declared date | Jul. 09, 2020 |  |  |  |  |  |
Quarterly dividend per share | $ / shares | $ 0.62 |  |  |  |  |  |
Payable date | Aug. 27, 2020 |  |  |  |  |  |
Record date | Aug. 03, 2020 |  |  |  |  |  |
ASU 2016-02 [Member] |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |
Increase in lease-related assets and liabilities |  | $ 116.4 |  |  |  |  |
Operating lease, right-of-use asset |  | 116.4 |  |  |  |  |
Operating lease, liability |  | 135.3 |  |  |  |  |
Unamortized landlord allowances and lease incentives |  | $ 18.9 |  |  |  |  |
Trade Receivables [Member] |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |
Receivables |  |  | 84.7 | 94.5 |  |  |
Purchased Receivables [Member] |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |
Receivables |  |  | $ 311.9 | $ 333.5 |  |  |
Minimum [Member] |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |
Payroll funding fees average collection period |  |  | 35 days |  |  |  |
Minimum [Member] | Finite Lived Assets [Member] |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |
Amortization period |  |  | 3 years |  |  |  |
Minimum [Member] | Software [Member] |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |
Estimated useful lives |  |  | 3 years |  |  |  |
Minimum [Member] | Software Development [Member] |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |
Estimated useful lives |  |  | 12 years |  |  |  |
Maximum [Member] |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |
Payroll funding fees average collection period |  |  | 45 days |  |  |  |
Maximum [Member] | Finite Lived Assets [Member] |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |
Amortization period |  |  | 12 years |  |  |  |
Maximum [Member] | Software [Member] |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |
Estimated useful lives |  |  | 5 years |  |  |  |
Oasis Outsourcing Group Holdings, L.P. [Member] |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |
Goodwill |  |  |  |  |  | $ 976.6 |
HR Outsourcing Holdings, Inc. [Member] |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |
Goodwill |  |  |  |  |  |  | $ 51.1
Europe [Member] | Revenue [Member] | Geographic Concentration Risk [Member] |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |
Total percentage |  |  | 1.00% | 1.00% |  |  |
Europe [Member] | Revenue [Member] | Geographic Concentration Risk [Member] | Maximum [Member] |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |
Total percentage |  |  |  |  | 1.00% |  |
Europe [Member] | Long Lived Assets [Member] | Geographic Concentration Risk [Member] |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |
Total percentage |  |  | 5.00% | 5.00% |  |  |
PEO And Insurance Solutions [Member] |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |
Cash and cash equivalents |  |  | $ 136.4 | $ 178.8 |  |  |
PEO [Member] |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |
Maximum individual workers' compensation claims liability |  |  | $ 1.0 |  |  |  |
PEO [Member] | Minimum [Member] |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |
Maximum individual workers' compensation claims liability |  |  |  | 0.5 |  |  |
PEO [Member] | Maximum [Member] |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |
Maximum individual workers' compensation claims liability |  |  |  | $ 1.0 |  |  |

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