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Description of Business, Basis of Presentation, and Significant Accounting Policies (Schedule of Recast of Selected Consolidated Statement of Cash Flow) (Details) - USD ($) $ in Millions | 3 Months Ended | 12 Months Ended
--- | --- | ---
May 31, 2019 | Feb. 28, 2019 | Nov. 30, 2018 | Aug. 31, 2018 | May 31, 2018 | Feb. 28, 2018 | [1] | Nov. 30, 2017 | [1] | Aug. 31, 2017 | May 31, 2019 | May 31, 2018 | May 31, 2017
Cash flows from operating activities |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Net income |  | $ 230.4 | $ 324.6 | $ 235.8 | $ 243.6 | $ 217.7 | [1] | $ 367.2 | $ 198.8 | $ 210.4 | [1] | $ 1,034.4 | $ 994.1 | [1],[2],[3] | $ 826.3 | [2],[3],[4]
Amortization of deferred contract costs |  |  |  |  |  |  |  |  |  |  |  | 180.2 | 174.7 | [3],[5] | 169.4 | [3],[5]
Provision/(benefit) for deferred income taxes |  |  |  |  |  |  |  |  |  |  |  | 4.7 | (37.2) | [3],[6] | 22.7 | [3],[6]
Accounts receivable and PEO unbilled receivables, net |  |  |  |  |  |  |  |  |  |  |  | (117.2) | 16.2 | [3],[5] | (103.3) | [3],[5]
Prepaid expenses and other current assets |  |  |  |  |  |  |  |  |  |  |  | 1.0 | 18.0 | [3],[5] | (32.2) | [3],[5]
Accounts payable and other current liabilities |  |  |  |  |  |  |  |  |  |  |  | 77.5 | 42.9 | [3],[5] | 38.2 | [3],[5]
Deferred costs |  |  |  |  |  |  |  |  |  |  |  | (188.5) | (181.8) | [3],[5] | (185.6) | [3],[5]
Net change in other long-term assets and liabilities |  |  |  |  |  |  |  |  |  |  |  | (5.4) | (5.7) | [3],[5] | (14.9) | [3],[5]
Cash flows from investing activities |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Net cash (used in)/provided by investing activities |  |  |  |  |  |  |  |  |  |  |  | (1,628.3) | 998.5 | [3],[5] | (662.2) | [3],[5]
Net change in cash, cash equivalents, restricted cash and restricted cash equivalents |  |  |  |  |  |  |  |  |  |  |  | (1,365.3) | 1,851.1 | [3],[5] | (184.5) | [3],[5]
Cash, cash equivalents, restricted cash and restricted cash equivalents, beginning of fiscal year | [3],[5] |  |  |  | 2,300.5 |  |  |  |  | 449.4 |  | 2,300.5 | 449.4 |  | 633.9 |
Cash, cash equivalents, restricted cash and restricted cash equivalents, end of fiscal year |  | $ 935.2 |  |  |  | 2,300.5 | [3],[5] |  |  |  |  | 935.2 | 2,300.5 | [3],[5] | 449.4 | [3],[5]
As Previously Reported [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Cash flows from operating activities |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Net income |  |  |  |  |  |  |  |  |  |  |  |  | 933.7 |  | 817.3 |
Provision/(benefit) for deferred income taxes |  |  |  |  |  |  |  |  |  |  |  |  | 19.2 |  | 17.4 |
Accounts receivable and PEO unbilled receivables, net |  |  |  |  |  |  |  |  |  |  |  |  | 13.6 |  | (103.7) |
Prepaid expenses and other current assets |  |  |  |  |  |  |  |  |  |  |  |  | 17.7 |  | (34.1) |
Accounts payable and other current liabilities |  |  |  |  |  |  |  |  |  |  |  |  | 42.6 |  | 39.1 |
Net change in other long-term assets and liabilities |  |  |  |  |  |  |  |  |  |  |  |  | (5.6) |  | (15.4) |
Cash flows from investing activities |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Net change in funds held for clients’ money market securities and other cash equivalents |  |  |  |  |  |  |  |  |  |  |  |  | (1,677.5) |  | 237.6 |
Net cash (used in)/provided by investing activities |  |  |  |  |  |  |  |  |  |  |  |  | (679.0) |  | (424.6) |
Net change in cash, cash equivalents, restricted cash and restricted cash equivalents |  |  |  |  |  |  |  |  |  |  |  |  | 173.6 |  | 53.1 |
Cash, cash equivalents, restricted cash and restricted cash equivalents, beginning of fiscal year |  |  |  |  | 358.2 |  |  |  |  | 184.6 |  | 358.2 | 184.6 |  | 131.5 |
Cash, cash equivalents, restricted cash and restricted cash equivalents, end of fiscal year |  |  |  |  |  | 358.2 |  |  |  |  |  |  | 358.2 |  | 184.6 |
ASU 2014-09 [Member] | Adjustments [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Cash flows from operating activities |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Net income |  |  |  |  |  |  |  |  |  |  |  |  | 60.4 |  | 9.0 |
Amortization of deferred contract costs |  |  |  |  |  |  |  |  |  |  |  |  | 174.7 |  | 169.4 |
Provision/(benefit) for deferred income taxes |  |  |  |  |  |  |  |  |  |  |  |  | (56.4) |  | 5.3 |
Accounts receivable and PEO unbilled receivables, net |  |  |  |  |  |  |  |  |  |  |  |  | 2.6 |  | 0.4 |
Prepaid expenses and other current assets |  |  |  |  |  |  |  |  |  |  |  |  | 0.3 |  | 1.9 |
Accounts payable and other current liabilities |  |  |  |  |  |  |  |  |  |  |  |  | 0.3 |  | (0.9) |
Deferred costs |  |  |  |  |  |  |  |  |  |  |  |  | (181.8) |  | (185.6) |
Net change in other long-term assets and liabilities |  |  |  |  |  |  |  |  |  |  |  |  | (0.1) |  | 0.5 |
ASU 2016-18 [Member] | Adjustments [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Cash flows from investing activities |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Net change in funds held for clients’ money market securities and other cash equivalents |  |  |  |  |  |  |  |  |  |  |  |  | 1,677.5 |  | (237.6) |
Net cash (used in)/provided by investing activities |  |  |  |  |  |  |  |  |  |  |  |  | 1,677.5 |  | (237.6) |
Net change in cash, cash equivalents, restricted cash and restricted cash equivalents |  |  |  |  |  |  |  |  |  |  |  |  | 1,677.5 |  | (237.6) |
Cash, cash equivalents, restricted cash and restricted cash equivalents, beginning of fiscal year |  |  |  |  | $ 1,942.3 |  |  |  |  | $ 264.8 |  | $ 1,942.3 | 264.8 |  | 502.4 |
Cash, cash equivalents, restricted cash and restricted cash equivalents, end of fiscal year |  |  |  |  |  | $ 1,942.3 |  |  |  |  |  |  | $ 1,942.3 |  | $ 264.8 |
[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 Codification ("ASC") Topic 606, "Revenue from Contracts with Customers" ("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)."
[4] | Amounts have been adjusted to reflect the adoption of ASC Topic 606.
[5] | Amounts have been adjusted to reflect the adoption of ASC Topic 606.
[6] | Amounts have been adjusted to reflect the adoption of ASC Topic 606.

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