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Supplemental Information (Narrative) (Details) - USD ($) $ in Millions |  |  |  | 3 Months Ended | 9 Months Ended |
--- | --- | --- | --- | --- | --- | ---
Mar. 30, 2023 | Feb. 03, 2023 | Feb. 06, 2020 | Feb. 28, 2023 | Feb. 28, 2022 | Feb. 28, 2023 | Feb. 28, 2022 | May 31, 2022
Depreciation expense |  |  |  | $ 32.7 | $ 34.9 | $ 95.8 | $ 98.1 |
Amortization expense |  |  |  | 11.5 | 13.5 | 36.7 | 44.6 |
Impairment loss relates to goodwill or intangible assets |  |  |  |  |  | 0.0 | 0.0 |
SVB [Member] | Subsequent Event [Member] |  |  |  |  |  |  |  |
Cash, restricted cash and available for sale investments deposited | $ 0.0 |  |  |  |  |  |  |
Subsequent event description | Subsequent Event: In March 2023, Silicon Valley Bank (“SVB”) was closed by the California Department of Financial Protection and Innovation, which appointed the Federal Deposit Insurance Corporation (“FDIC”) to act as receiver. Signature Bank (“Signature”) was closed by the New York State Department of Financial Services, which also appointed the FDIC to act as receiver. The FDIC informed both SVB and Signature depositors that they will have access to both insured and uninsured deposits under its systemic risk exception plan as approved on March 12, 2023. The Company has no cash, restricted cash, or AFS investments deposited with SVB or Signature and it has met all client fund obligations related to employee payment services and remittances to applicable tax or regulatory agencies. The Company continues to monitor this situation and believes that its existing client funds held, cash, cash equivalents, and AFS investment balances will be sufficient to meet client fund obligations. |  |  |  |  |  |  |
Revolving Credit Facility [Member] |  |  |  |  |  |  |  |
Unused amount available |  |  |  | $ 2,000.0 |  | $ 2,000.0 |  |
Weighted-average interest rate |  |  |  | 5.75% |  | 5.75% |  | 2.34%
Standby Letters of Credit [Member] |  |  |  |  |  |  |  |
Maximum borrowing capacity |  |  |  | $ 141.7 |  | $ 141.7 |  | $ 140.2
Amounts outstanding |  |  |  | $ 0.0 | $ 0.0 | $ 0.0 | $ 0.0 | $ 0.0
Standby Letters of Credit [Member] | Minimum [Member] |  |  |  |  |  |  |  |
Expiration date of credit facility |  |  |  |  |  | Apr. 01, 2023 |  |
Standby Letters of Credit [Member] | Maximum [Member] |  |  |  |  |  |  |  |
Expiration date of credit facility |  |  |  |  |  | Feb. 05, 2024 |  |
PNC Bank, National Association [Member] | 2020 Credit Facility [Member] |  |  |  |  |  |  |  |
Maximum borrowing capacity |  | $ 250.0 |  |  |  |  |  |
Expiration date of credit facility |  | Feb. 06, 2026 | Feb. 06, 2023 |  |  |  |  |
Term of unsecured line of credit facility |  | 3 years |  |  |  |  |  |

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