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Taxes - Schedule of effective income tax rate reconciliation (Details) - USD ($) $ in Millions | 12 Months Ended
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May 31, 2022 | May 31, 2021 | May 31, 2020
Effective Income Tax Rate Reconciliation, Percent [Abstract] |  |  |
Computed federal statutory provision | 21.00% | 21.00% | 21.00%
State income tax provision, net of federal income tax benefit | 3.10% | (10.40%) | 2.00%
Difference in effective tax rates on earnings of foreign subsidiaries | (0.20%) | 7.00% | 1.80%
Rate differential on net operating loss carrybacks | 0.00% | 19.30% | 34.20%
GILTI inclusion | 0.00% | (2.70%) | (2.40%)
Various tax credits | (1.90%) | 6.50% | 0.80%
Valuation allowances | 0.20% | 25.70% | (1.10%)
Uncertain positions | (8.10%) | (14.60%) | (2.30%)
Equity and other compensation | 1.20% | (8.70%) | (0.60%)
Return to provision adjustments | (4.40%) | 0.00% | (0.70%)
Other, net | (1.20%) | (3.00%) | (1.40%)
Effective tax rates | 9.70% | 40.10% | 51.30%
Total provision (benefit) for income taxes | $ 8.7 | $ (7.3) | $ (46.0)

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