Taxes - Schedule of effective income tax rate reconciliation (Details) - USD ($) $ in Millions	12 Months Ended
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)

Effective Income Tax Rate Reconciliation, Equity and Other Compensation, Percent

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Effective Income Tax Rate Reconciliation, Global Income Low-Taxed Income, Percent

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Effective Income Tax Rate Reconciliation, Net Operating Loss Carryback

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Effective Income Tax Rate Reconciliation, Provision Adjustment, Percent

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Effective Income Tax Rate Reconciliation, Uncertain Tax Positions, Percent

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Percentage of current income tax expense (benefit) and deferred income tax expense (benefit) pertaining to continuing operations.

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Percentage of domestic federal statutory tax rate applicable to pretax income (loss).

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Percentage of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations attributable to changes in the valuation allowance for deferred tax assets.

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Percentage of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations applicable to statutory income tax expense (benefit) outside of the country of domicile.

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Percentage of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations applicable to state and local income tax expense (benefit), net of federal tax expense (benefit).

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Percentage of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations attributable to tax credits. Including, but not limited to, research credit, foreign tax credit, investment tax credit, and other tax credits.

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