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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. 13, 2017 $ / shares | May 31, 2017 USD ($) segment $ / shares | May 31, 2016 USD ($) | May 31, 2015 USD ($)
Accounting Policies [Line Items] |  |  |  |
Number of reportable segments | segment |  | 1 |  |
Maximum period in which payroll taxes will be remitted after receipt of collections from clients |  | 90 days |  |
Quarterly dividend per share | $ / shares |  | $ 0.46 |  |
Allowance for doubtful accounts |  | $ 6.0 | $ 4.2 |
Accounts receivable, net of allowance for doubtful accounts |  | 507.5 | 408.6 |
Goodwill |  | 657.1 | 657.1 |
Goodwill impairment loss |  | 0.0 | 0.0 | $ 0.0
Direct pass-through costs |  | 5,900.0 | 5,100.0 | 4,200.0
Maximum individual workers' compensation claims liability |  | 1.3 | 1.3 |
Workers' compensation insurance costs in current liabilities |  | 18.0 | 13.8 |
Workers' compensation insurance costs in long-term liabilities |  | 22.3 | 18.4 |
Maximum individual health insurance claims liability |  | 0.3 | 0.3 |
PEO accrued health insurance reserves in current liabilities |  | 15.7 | 9.5 |
Stock-based compensation costs recognized |  | $ 35.4 | 34.6 | $ 31.4
Decrease in effective income tax rate |  | (1.50%) |  |
Reserve for uncertain tax positions |  | $ 39.2 | 54.2 |
Excess tax benefit in income tax expense |  | $ 18.3 |  |
Diluted earnings per share increase | $ / shares |  | $ 0.05 |  |
Subsequent Event [Member] |  |  |  |
Accounting Policies [Line Items] |  |  |  |
Declared date | Jul. 13, 2017 |  |  |
Quarterly dividend per share increase | $ / shares | $ 0.04 |  |  |
Quarterly dividend percentage increase | 9.00% |  |  |
Quarterly dividend per share | $ / shares | $ 0.50 |  |  |
Payable date | Aug. 24, 2017 |  |  |
Record date | Aug. 01, 2017 |  |  |
Trade Receivables [Member] |  |  |  |
Accounting Policies [Line Items] |  |  |  |
Accounts receivable, net of allowance for doubtful accounts |  | $ 255.0 | 221.6 |
Purchased Receivables [Member] |  |  |  |
Accounting Policies [Line Items] |  |  |  |
Accounts receivable, net of allowance for doubtful accounts |  | $ 252.5 | $ 187.0 |
Software Development [Member] |  |  |  |
Accounting Policies [Line Items] |  |  |  |
Estimated useful lives |  | 15 years |  |
Minimum [Member] |  |  |  |
Accounting Policies [Line Items] |  |  |  |
Period in which payroll taxes are typically remitted after receipt of collections from clients |  | 1 day |  |
Payroll funding fees average collection period |  | 35 days |  |
Minimum [Member] | Finite-Lived Intangible 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] |  |  |  |
Period in which payroll taxes are typically remitted after receipt of collections from clients |  | 30 days |  |
Payroll funding fees average collection period |  | 45 days |  |
Short-term investments maturity at acquisition |  | 90 days |  |
Maximum [Member] | Finite-Lived Intangible Assets [Member] |  |  |  |
Accounting Policies [Line Items] |  |  |  |
Amortization period |  | 12 years |  |
Maximum [Member] | Software [Member] |  |  |  |
Accounting Policies [Line Items] |  |  |  |
Estimated useful lives |  | 5 years |  |
Germany [Member] | Total Revenue [Member] | Geographic Concentration Risk [Member] |  |  |  |
Accounting Policies [Line Items] |  |  |  |
Percentage of total revenue less than one percent |  | 1.00% | 1.00% | 1.00%

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