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Description of Business, Basis of Presentation, and Significant Accounting Policies (Narrative) (Details) $ / shares in Units, shares in Millions, $ in Millions |  |  | 12 Months Ended |  |  |
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Jul. 11, 2019 $ / shares | Jun. 01, 2019 USD ($) shares | Dec. 31, 2019 USD ($) | Sep. 30, 2019 USD ($) | Jun. 30, 2019 USD ($) | May 31, 2019 USD ($) segment | Dec. 31, 2018 USD ($) | Sep. 30, 2018 USD ($) | Jun. 30, 2018 USD ($) | May 31, 2018 USD ($) | May 31, 2017 USD ($) | Dec. 20, 2018 USD ($) | Aug. 18, 2017 USD ($) | Jun. 01, 2016 USD ($)
Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of reportable segments | segment |  |  |  |  |  | 1 |  |  |  |  |  |  |  |  |  |
Cash and cash equivalents |  |  |  |  |  | $ 673.6 |  |  |  | $ 358.2 | [1],[2],[3] | $ 184.6 | [2],[3] |  |  |
Allowance for doubtful accounts |  |  |  |  |  | 7.5 |  |  |  | 7.0 |  |  |  |  |  |
Advance collections |  |  |  |  |  | 4.2 |  |  |  | 17.2 |  |  |  |  |  |
Goodwill |  |  |  |  |  | 1,782.6 |  |  |  | 814.0 | [1] | 657.1 |  |  |  |
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 |  |  |  |
Maximum individual workers' compensation claims liability |  |  |  |  |  | 1.0 |  |  |  | 1.3 |  |  |  |  |  |
Workers' compensation insurance costs in current liabilities |  |  |  |  |  | 71.1 |  |  |  | 19.4 |  |  |  |  |  |
Workers' compensation insurance costs in long-term liabilities |  |  |  |  |  | 99.2 |  |  |  | 31.2 |  |  |  |  |  |
Maximum individual health insurance claims liability |  |  | $ 0.3 |  |  |  | $ 0.3 |  |  |  |  |  |  |  |  |
PEO accrued health insurance and dental and vision plan reserves in current liabilities |  |  |  |  |  | 25.4 |  |  |  | 25.4 |  |  |  |  |  |
Reserve for uncertain tax positions |  |  |  |  |  | 21.6 |  |  |  | 14.7 |  |  |  |  |  |
Cumulative adjustment to increase stockholder's equity |  |  |  |  |  |  |  |  |  |  |  | $ 262.9 |  |  |  |
Subsequent Event [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Declared date | Jul. 11, 2019 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Quarterly dividend per share | $ / shares | $ 0.62 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Payable date | Aug. 22, 2019 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Record date | Aug. 01, 2019 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Common stock purchased, shares | shares |  | 1.0 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Common stock purchased, value |  | $ 84.0 |  |  |  |  |  |  |  |  |  |  |  |  |  |
ASU 2014-09 [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Cumulative adjustment to increase stockholder's equity |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 262.9
Trade Receivables [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Receivables |  |  |  |  |  | 87.0 |  |  |  | 107.6 |  |  |  |  |  |
Purchased Receivables [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Receivables |  |  |  |  |  | $ 333.5 |  |  |  | $ 267.0 |  |  |  |  |  |
Software Development [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Estimated useful lives |  |  |  |  |  | 12 years |  |  |  |  |  |  |  |  |  |
Minimum [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Payroll funding fees average collection period |  |  |  |  |  | 35 days |  |  |  |  |  |  |  |  |  |
Minimum [Member] | ASU 2016-02 [Member] | Subsequent Event [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Estimates increase in lease-related assets and liabilities |  | 125.0 |  |  |  |  |  |  |  |  |  |  |  |  |  |
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 |  |  |  |  |  |  |  |  |  |
Maximum [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Short-term investments maturity at acquisition |  |  |  |  |  | 90 days |  |  |  |  |  |  |  |  |  |
Payroll funding fees average collection period |  |  |  |  |  | 45 days |  |  |  |  |  |  |  |  |  |
Maximum [Member] | ASU 2016-02 [Member] | Subsequent Event [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Estimates increase in lease-related assets and liabilities |  | $ 135.0 |  |  |  |  |  |  |  |  |  |  |  |  |  |
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 |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 972.1 |  |
Maximum individual workers' compensation claims liability |  |  |  |  |  | $ 1.0 |  |  |  |  |  |  |  |  |  |
HR Outsourcing Holdings, Inc. [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Goodwill |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 51.1 |
Maximum individual workers' compensation claims liability |  |  |  | $ 0.8 |  |  |  | $ 0.5 |  |  |  |  |  |  |  |
Maximum individual health insurance claims liability |  |  |  |  | $ 0.3 |  |  |  | $ 0.3 |  |  |  |  |  |  |
Europe [Member] | Revenue [Member] | Geographic Concentration Risk [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Total percentage |  |  |  |  |  | 1.00% |  |  |  |  |  |  |  |  |  |
Europe [Member] | Revenue [Member] | Geographic Concentration Risk [Member] | Maximum [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Total percentage |  |  |  |  |  |  |  |  |  | 1.00% |  | 1.00% |  |  |  |
Europe [Member] | Long Lived Assets [Member] | Geographic Concentration Risk [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Total percentage |  |  |  |  |  | 5.00% |  |  |  | 10.00% |  |  |  |  |  |
PEO And Insurance Services [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Cash and cash equivalents |  |  |  |  |  | $ 178.8 |  |  |  | $ 44.2 |  |  |  |  |  |
[1] | Amounts have been adjusted to reflect the adoption of ASC Topic 606 and to provide further detail related to certain professional employer organization ("PEO") balances.
[2] | Amounts have been adjusted to reflect the adoption of ASC Topic 606.
[3] | 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)."

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