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Funds Held for Clients and Corporate Investments (Funds Held for Clients and Corporate Investments) (Details) - USD ($) $ in Millions | Aug. 31, 2023 | May 31, 2023
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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 | $ 2,188.4 | $ 863.1
Funds held for clients' money market securities and other restricted cash equivalents, Fair value | 2,188.4 | 863.1
AFS securities, Amortized cost | 3,504.3 | 3,779.9
AFS securities, Gross unrealized gains | 0.8 | 4.1
AFS securities, Gross unrealized losses | (207.7) | (179.4)
AFS securities, Fair value | 3,297.4 | 3,604.6
Other, Amortized cost | 32.9 | 30.1
Other, Gross unrealized gains | 1.9 | 1.1
Other, Gross unrealized losses | (2.6) | (2.9)
Other, Fair value | 32.2 | 28.3
Total funds held for clients and corporate investments, Amortized cost | 5,725.6 | 4,673.1
Total funds held for clients and corporate investments, Gross unrealized gains | 2.7 | 5.2
Total funds held for clients and corporate investments, Gross unrealized losses | (210.3) | (182.3)
Total funds held for clients and corporate investments, Fair value | 5,518.0 | 4,496.0
Asset-Backed Securities [Member] |  |
Schedule of Available-for-sale Securities [Line Items] |  |
AFS securities, Amortized cost | 86.4 | 88.1
AFS securities, Gross unrealized losses | (1.6) | (1.4)
AFS securities, Fair value | 84.8 | 86.7
Corporate Bonds [Member] |  |
Schedule of Available-for-sale Securities [Line Items] |  |
AFS securities, Amortized cost | 1,478.0 | 1,468.3
AFS securities, Gross unrealized gains | 0.8 | 3.7
AFS securities, Gross unrealized losses | (43.2) | (31.1)
AFS securities, Fair value | 1,435.6 | 1,440.9
Municipal Bonds [Member] |  |
Schedule of Available-for-sale Securities [Line Items] |  |
AFS securities, Amortized cost | 1,099.0 | 1,091.3
AFS securities, Gross unrealized gains |  | 0.1
AFS securities, Gross unrealized losses | (112.4) | (105.3)
AFS securities, Fair value | 986.6 | 986.1
U.S. Government Agency And Treasury Securities [Member] |  |
Schedule of Available-for-sale Securities [Line Items] |  |
AFS securities, Amortized cost | 829.6 | 788.1
AFS securities, Gross unrealized gains |  | 0.3
AFS securities, Gross unrealized losses | (50.5) | (41.6)
AFS securities, Fair value | 779.1 | 746.8
Variable Rate Demand Notes [Member] |  |
Schedule of Available-for-sale Securities [Line Items] |  |
AFS securities, Amortized cost | 11.3 | 344.1
AFS securities, Fair value | $ 11.3 | $ 344.1

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