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Income taxes (Tables)

12 Months Ended

Dec. 31, 2021

Income Tax Disclosure [Abstract]

Schedule of Income (Loss) from Continuing Operations before Income Taxes and Provision (Benefit) for Income Taxes

Following is the total loss from continuing operations before income taxes and the provision (benefit) for income taxes.

Year ended December 31,		2021				2020				2019
Income (loss) from continuing operations before income taxes
United States		$	(443.5	)		$	(316.3	)		$	(148.4	)
Foreign			(18.2	)			44.5				87.8
Total income (loss) from continuing operations before income taxes		$	(461.7	)		$	(271.8	)		$	(60.6	)
Provision (benefit) for income taxes
Current
United States		$	9.1			$	7.3			$	(17.7	)
Foreign			38.1				51.5				41.0
Total			47.2				58.8				23.3
Deferred
Foreign			(59.1	)			(13.4	)			4.4
Total (benefit) provision for income taxes		$	(11.9	)		$	45.4			$	27.7

Schedule of Reconciliation of Provision (Benefit) for Income Taxes

Following is a reconciliation of the provision (benefit) for income taxes at the United States statutory tax rate to the provision (benefit) for income taxes as reported:

Year ended December 31,		2021				2020				2019
United States statutory income tax provision (benefit)		$	(96.9	)		$	(57.1	)		$	(12.7	)
Income and losses for which no provision or benefit has been recognized			91.1				78.6				23.9
Foreign rate differential and other foreign tax expense			0.4				5.9				3.2
Income tax withholdings			13.5				16.8				17.6
Permanent items			(1.8	)			0.8				(2.5	)
Enacted rate changes			(17.1	)			(4.0	)			0.5
Change in uncertain tax positions			(0.3	)			3.6				0.2
Change in valuation allowances due to changes in judgment			(0.8	)			2.9				(2.3	)
Income tax credits, U.S.			—				(2.1	)			(0.2	)
(Benefit) provision for income taxes		$	(11.9	)		$	45.4			$	27.7

Schedule of Significant Portions of Deferred Tax Assets and Liabilities

The tax effects of temporary differences and carryforwards that give rise to significant portions of deferred tax assets and liabilities were as follows:

As of December 31,		2021				2020
Deferred tax assets
Tax loss carryforwards		$	840.4			$	795.2
Postretirement benefits			211.8				253.0
Foreign tax credit carryforwards			145.9				201.3
Other tax credit carryforwards			31.9				29.2
Deferred revenue			35.8				31.1
Employee benefits and compensation			25.8				25.3
Purchased capitalized software			24.2				24.1
Depreciation			31.6				28.2
Warranty, bad debts and other reserves			7.5				10.5
Capitalized costs			3.9				8.1
Other			46.1				52.0
			1,404.9				1,458.0
Valuation allowance			(1,226.2	)			(1,271.5	)
Total deferred tax assets		$	178.7			$	186.5
Deferred tax liabilities
Capitalized research and development		$	43.1			$	47.4
Other			29.5				29.8
Total deferred tax liabilities		$	72.6			$	77.2
Net deferred tax assets		$	106.1			$	109.3

Schedule of Tax Effected Tax Loss Carryforwards

At December 31, 2021, the company has tax effected tax loss carryforwards as follows:

As of December 31,		2021
U.S. Federal		$	370.7
State and local			203.4
Foreign			266.3
Total tax loss carryforwards		$	840.4

These carryforwards will expire as follows:

Year
2022		$	13.8
2023			13.0
2024			13.0
2025			15.5
2026			10.3
Thereafter			502.3
Unlimited			272.5
Total		$	840.4

Schedule of Tax Credit Carryforwards

The company also has available tax credit carryforwards, which will expire as follows:

Year
2022		$	38.1
2023			27.0
2024			22.5
2025			20.7
2026			33.7
Thereafter			35.8
Total		$	177.8

Schedule of Cash Paid for Income Taxes, Net of Refunds

Cash paid for income taxes, net of refunds was as follows:

Year ended December 31,		2021				2020				2019
Cash paid for income taxes, net of refunds		$	53.7			$	24.7			$	37.6

Schedule of Reconciliation of Changes in Unrecognized Tax Benefits

A reconciliation of the beginning and ending amount of unrecognized tax benefits is as follows:

Year ended December 31,		2021				2020				2019
Balance at January 1		$	30.9			$	25.6			$	18.9
Additions based on tax positions related to the current year			3.5				8.5				11.1
Changes for tax positions of prior years			(8.8	)			(0.7	)			(0.6	)
Reductions as a result of a lapse of applicable statute of limitations			(2.6	)			(2.3	)			(2.3	)
Settlements			(0.3	)			(1.8	)			(1.1	)
Changes due to foreign currency			(1.1	)			1.6				(0.4	)
Balance at December 31		$	21.6			$	30.9			$	25.6

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