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Funds Held for Clients and Corporate Investments (Funds Held for Clients and Corporate Investments) (Details) - USD ($) $ in Millions | Aug. 31, 2022 | May 31, 2022
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Schedule of Available-for-sale Securities [Line Items] |  |
Funds held for clients' money market securities and other restricted cash equivalents, Amortized cost | $ 429.2 | $ 482.6
Funds held for clients' money market securities and other restricted cash equivalents, Fair value | 429.2 | 482.6
AFS securities, Amortized cost | 2,900.4 | 4,165.5
AFS securities, Gross unrealized gains | 0.0 | 2.7
AFS securities, Gross unrealized losses | (175.6) | (139.0)
AFS securities, Fair value | 2,724.8 | 4,029.2
Other, Amortized cost | 33.3 | 30.4
Other, Gross unrealized gains | 1.4 | 1.8
Other, Gross unrealized losses | (3.2) | (2.2)
Other, Fair value | 31.5 | 30.0
Total funds held for clients and corporate investments, Amortized cost | 3,362.9 | 4,678.5
Total funds held for clients and corporate investments, Gross unrealized gains | 1.4 | 4.5
Total funds held for clients and corporate investments, Gross unrealized losses | (178.8) | (141.2)
Total funds held for clients and corporate investments, Fair value | 3,185.5 | 4,541.8
Asset-Backed Securities [Member] |  |
Schedule of Available-for-sale Securities [Line Items] |  |
AFS securities, Amortized cost | 56.2 | 68.5
AFS securities, Gross unrealized gains |  | 0.0
AFS securities, Gross unrealized losses | (1.7) | (1.3)
AFS securities, Fair value | 54.5 | 67.2
Corporate Bonds [Member] |  |
Schedule of Available-for-sale Securities [Line Items] |  |
AFS securities, Amortized cost | 715.1 | 699.3
AFS securities, Gross unrealized gains | 0.0 | 1.8
AFS securities, Gross unrealized losses | (28.2) | (19.0)
AFS securities, Fair value | 686.9 | 682.1
Municipal Bonds [Member] |  |
Schedule of Available-for-sale Securities [Line Items] |  |
AFS securities, Amortized cost | 1,515.1 | 1,577.6
AFS securities, Gross unrealized gains | 0.0 | 0.6
AFS securities, Gross unrealized losses | (108.3) | (92.4)
AFS securities, Fair value | 1,406.8 | 1,485.8
U.S. Government Agency And Treasury Securities [Member] |  |
Schedule of Available-for-sale Securities [Line Items] |  |
AFS securities, Amortized cost | 602.3 | 574.5
AFS securities, Gross unrealized gains |  | 0.3
AFS securities, Gross unrealized losses | (37.4) | (26.3)
AFS securities, Fair value | 564.9 | 548.5
Variable Rate Demand Notes [Member] |  |
Schedule of Available-for-sale Securities [Line Items] |  |
AFS securities, Amortized cost | 11.7 | 1,245.6
AFS securities, Fair value | $ 11.7 | $ 1,245.6

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