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Funds Held for Clients and Corporate Investments (Funds Held for Clients and Corporate Investments) (Details) - USD ($) $ in Millions | Aug. 31, 2017 | May 31, 2017
--- | --- | ---
Schedule of Available-for-sale Securities [Line Items] |  |  |
Funds held for clients money market securities and other cash equivalents, Amortized cost |  | $ 1,194.6 | $ 264.8
Funds held for clients money market securities and other cash equivalents, Gross unrealized gains |  |  |
Funds held for clients money market securities and other cash equivalents, Gross unrealized losses |  |  |
Funds held for clients money market securities and other cash equivalents, Fair value |  | 1,194.6 | 264.8
Available-for-sale securities, Amortized cost |  | 4,318.9 | 4,581.2
Available-for-sale securities, Gross unrealized gains |  | 42.2 | 37.8
Available-for-sale securities, Gross unrealized losses |  | (3.6) | (5.8)
Available-for-sale securities, Fair value |  | 4,357.5 | 4,613.2
Other, Amortized cost |  | 15.8 | 14.8
Other, Gross unrealized gains |  | 2.2 | 1.9
Other, Gross unrealized losses |  |  |
Other, Fair value |  | 18.0 | 16.7
Total funds held for clients and corporate investments, Amortized cost |  | 5,529.3 | 4,860.8
Total funds held for clients and corporate investments, Gross unrealized gains |  | 44.4 | 39.7
Total funds held for clients and corporate investments, Gross unrealized losses |  | (3.6) | (5.8)
Total funds held for clients and corporate investments, Fair value |  | 5,570.1 | 4,894.7
Corporate Bonds [Member] |  |  |
Schedule of Available-for-sale Securities [Line Items] |  |  |
Available-for-sale securities, Amortized cost |  | 263.9 | 208.6
Available-for-sale securities, Gross unrealized gains |  | 3.6 | 2.7
Available-for-sale securities, Gross unrealized losses |  | (0.3) | (0.5)
Available-for-sale securities, Fair value |  | 267.2 | 210.8
General Obligation Municipal Bonds [Member] |  |  |
Schedule of Available-for-sale Securities [Line Items] |  |  |
Available-for-sale securities, Amortized cost |  | 1,407.4 | 1,422.0
Available-for-sale securities, Gross unrealized gains |  | 23.2 | 21.2
Available-for-sale securities, Gross unrealized losses |  | (0.4) | (0.9)
Available-for-sale securities, Fair value |  | 1,430.2 | 1,442.3
Pre-Refunded Municipal Bonds [Member] |  |  |
Schedule of Available-for-sale Securities [Line Items] |  |  |
Available-for-sale securities, Amortized cost | [1] | 60.9 | 54.6
Available-for-sale securities, Gross unrealized gains | [1] | 1.1 | 0.9
Available-for-sale securities, Gross unrealized losses | [1] |  |
Available-for-sale securities, Fair value | [1] | 62.0 | 55.5
Revenue Municipal Bonds [Member] |  |  |
Schedule of Available-for-sale Securities [Line Items] |  |  |
Available-for-sale securities, Amortized cost |  | 921.3 | 929.2
Available-for-sale securities, Gross unrealized gains |  | 13.5 | 12.5
Available-for-sale securities, Gross unrealized losses |  | (0.2) | (0.8)
Available-for-sale securities, Fair value |  | 934.6 | 940.9
U.S. Government Agency Securities [Member] |  |  |
Schedule of Available-for-sale Securities [Line Items] |  |  |
Available-for-sale securities, Amortized cost |  | 368.6 | 328.9
Available-for-sale securities, Gross unrealized gains |  | 0.8 | 0.5
Available-for-sale securities, Gross unrealized losses |  | (2.7) | (3.6)
Available-for-sale securities, Fair value |  | 366.7 | 325.8
Variable Rate Demand Notes [Member] |  |  |
Schedule of Available-for-sale Securities [Line Items] |  |  |
Available-for-sale securities, Amortized cost |  | 1,296.8 | 1,637.9
Available-for-sale securities, Gross unrealized gains |  |  |
Available-for-sale securities, Gross unrealized losses |  |  |
Available-for-sale securities, Fair value |  | $ 1,296.8 | $ 1,637.9
[1] | Pre-refunded municipal bonds are secured by an escrow fund of U.S. government obligations.

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