Income taxes (Tables)

3 Months Ended

Mar. 31, 2023

Income taxes Disclosure [Abstract]

Component of Income Taxes Expenses

	Three months ended
	March 31,
	2022		2023
	(In millions)
Expected tax expense (benefit) at U.S. federal statutory   income tax rate of 21%	$	17.5	$	(2.1)
Non-U.S. tax rates		2.1		—
Incremental net tax benefit on earnings and losses of U.S.   and non-U.S. tax group companies		(.9)		.4
Valuation allowance		.6		(.9)
Global intangible low-tax income, net		.7		(1.5)
Adjustment to the reserve for uncertain tax positions, net		(.7)		(1.4)
Adjustment of prior year taxes, net		—		(.4)
Nondeductible expenses		.4		(.5)
U.S. state income taxes and other, net		.2		.3
Income tax expense (benefit)	$	19.9	$	(6.1)
Comprehensive provision for income taxes allocable to:
Net income (loss)	$	19.9	$	(6.1)
Other comprehensive income (loss):
Currency translation		.7		(.8)
Pension plans		1.4		.3
Other		.2		(.2)
Total	$	22.2	$	(6.8)