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Funds Held for Clients and Corporate Investments (Securities in Unrealized Loss Position) (Details) - USD ($) $ in Millions | Aug. 31, 2023 | May 31, 2023
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Schedule of Available-for-sale Securities [Line Items] |  |
Securities in an unrealized loss position for less than twelve months, Gross unrealized losses | $ (27.8) | $ (15.2)
Securities in an unrealized loss position for less than twelve months, Fair value | 1,244.1 | 992.5
Securities in an unrealized loss position for more than twelve months, Gross unrealized losses | (179.9) | (164.2)
Securities in an unrealized loss position for more than twelve months, Fair value | 1,952.3 | 1,752.9
Total, Gross unrealized losses | (207.7) | (179.4)
Total, Fair value | 3,196.4 | 2,745.4
Asset-Backed Securities [Member] |  |
Schedule of Available-for-sale Securities [Line Items] |  |
Securities in an unrealized loss position for less than twelve months, Gross unrealized losses | (0.6) | (0.1)
Securities in an unrealized loss position for less than twelve months, Fair value | 63.0 | 54.2
Securities in an unrealized loss position for more than twelve months, Gross unrealized losses | (1.0) | (1.3)
Securities in an unrealized loss position for more than twelve months, Fair value | 21.8 | 23.3
Total, Gross unrealized losses | (1.6) | (1.4)
Total, Fair value | 84.8 | 77.5
Corporate Bonds [Member] |  |
Schedule of Available-for-sale Securities [Line Items] |  |
Securities in an unrealized loss position for less than twelve months, Gross unrealized losses | (14.1) | (5.9)
Securities in an unrealized loss position for less than twelve months, Fair value | 843.4 | 652.0
Securities in an unrealized loss position for more than twelve months, Gross unrealized losses | (29.1) | (25.2)
Securities in an unrealized loss position for more than twelve months, Fair value | 503.5 | 382.7
Total, Gross unrealized losses | (43.2) | (31.1)
Total, Fair value | 1,346.9 | 1,034.7
Municipal Bonds [Member] |  |
Schedule of Available-for-sale Securities [Line Items] |  |
Securities in an unrealized loss position for less than twelve months, Gross unrealized losses | (6.9) | (5.9)
Securities in an unrealized loss position for less than twelve months, Fair value | 92.7 | 86.7
Securities in an unrealized loss position for more than twelve months, Gross unrealized losses | (105.5) | (99.4)
Securities in an unrealized loss position for more than twelve months, Fair value | 892.9 | 889.0
Total, Gross unrealized losses | (112.4) | (105.3)
Total, Fair value | 985.6 | 975.7
U.S. Government Agency And Treasury Securities [Member] |  |
Schedule of Available-for-sale Securities [Line Items] |  |
Securities in an unrealized loss position for less than twelve months, Gross unrealized losses | (6.2) | (3.3)
Securities in an unrealized loss position for less than twelve months, Fair value | 245.0 | 199.6
Securities in an unrealized loss position for more than twelve months, Gross unrealized losses | (44.3) | (38.3)
Securities in an unrealized loss position for more than twelve months, Fair value | 534.1 | 457.9
Total, Gross unrealized losses | (50.5) | (41.6)
Total, Fair value | $ 779.1 | $ 657.5

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