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Funds Held for Clients and Corporate Investments (Funds Held for Clients and Corporate Investments) (Details) - USD ($) $ in Millions | Aug. 31, 2018 | May 31, 2018
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Schedule of Available-for-sale Securities [Line Items] |  |  |
Funds held for clients' money market securities and other cash equivalents, Amortized cost | $ 1,179.8 | $ 1,942.3 |
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 | 1,179.8 | 1,942.3 |
Available-for-sale securities, Amortized cost | 2,947.5 | 3,143.1 |
Available-for-sale securities, Gross unrealized gains | 2.9 | 2.4 |
Available-for-sale securities, Gross unrealized losses | (38.8) | (40.7) |
Available-for-sale securities, Fair value | 2,911.6 | 3,104.8 |
Other, Amortized cost | 17.4 | 16.1 |
Other, Gross unrealized gains | 2.5 | 2.1 |
Other, Gross unrealized losses |  |  |
Other, Fair value | 19.9 | 18.2 |
Total funds held for clients and corporate investments, Amortized cost | 4,144.7 | 5,101.5 |
Total funds held for clients and corporate investments, Gross unrealized gains | 5.4 | 4.5 |
Total funds held for clients and corporate investments, Gross unrealized losses | (38.8) | (40.7) |
Total funds held for clients and corporate investments, Fair value | 4,111.3 | 5,065.3 |
Corporate Bonds [Member] |  |  |
Schedule of Available-for-sale Securities [Line Items] |  |  |
Available-for-sale securities, Amortized cost | 367.7 | 328.6 |
Available-for-sale securities, Gross unrealized gains | 0.3 | 0.1 |
Available-for-sale securities, Gross unrealized losses | (7.3) | (7.3) |
Available-for-sale securities, Fair value | 360.7 | 321.4 |
General Obligation Municipal Bonds [Member] |  |  |
Schedule of Available-for-sale Securities [Line Items] |  |  |
Available-for-sale securities, Amortized cost | 1,149.8 | 1,231.6 |
Available-for-sale securities, Gross unrealized gains | 1.3 | 1.3 |
Available-for-sale securities, Gross unrealized losses | (9.7) | (11.2) |
Available-for-sale securities, Fair value | 1,141.4 | 1,221.7 |
Pre-Refunded Municipal Bonds [Member] |  |  |
Schedule of Available-for-sale Securities [Line Items] |  |  |
Available-for-sale securities, Amortized cost | 45.7 | 50.9 | [1]
Available-for-sale securities, Gross unrealized gains | 0.2 | 0.1 | [1]
Available-for-sale securities, Gross unrealized losses | (0.1) | (0.1) | [1]
Available-for-sale securities, Fair value | 45.8 | 50.9 | [1]
Revenue Municipal Bonds [Member] |  |  |
Schedule of Available-for-sale Securities [Line Items] |  |  |
Available-for-sale securities, Amortized cost | 767.5 | 813.5 |
Available-for-sale securities, Gross unrealized gains | 1.0 | 0.9 |
Available-for-sale securities, Gross unrealized losses | (7.1) | (8.0) |
Available-for-sale securities, Fair value | 761.4 | 806.4 |
U.S. Government Agency Securities [Member] |  |  |
Schedule of Available-for-sale Securities [Line Items] |  |  |
Available-for-sale securities, Amortized cost | 454.5 | 410.2 |
Available-for-sale securities, Gross unrealized gains | 0.1 |  |
Available-for-sale securities, Gross unrealized losses | (14.6) | (14.1) |
Available-for-sale securities, Fair value | 440.0 | 396.1 |
Variable Rate Demand Notes [Member] |  |  |
Schedule of Available-for-sale Securities [Line Items] |  |  |
Available-for-sale securities, Amortized cost | 162.3 | 308.3 |
Available-for-sale securities, Gross unrealized gains |  |  |
Available-for-sale securities, Gross unrealized losses |  |  |
Available-for-sale securities, Fair value | $ 162.3 | $ 308.3 |
[1] | Pre-refunded municipal bonds are secured by an escrow fund of U.S. government obligations.

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