Cost-reduction actions (Tables)

12 Months Ended

Dec. 31, 2021

Revenue from Contract with Customer [Abstract]

Schedule of Statement of Income Classifications for Charges (Credits) and Reconciliation of Liabilities and Expected Future Payments

The charges (credits) were recorded in the following statement of income (loss) classifications:

Year ended December 31,	2021			2020		2019
Cost of revenue
Services	$	(2.5	)	$	22.2	$	10.8
Technology		7.6			—		0.2
Selling, general and administrative		11.1			38.5		15.5
Research and development		3.0			2.5		2.2
Other (expenses), net		4.0			32.3		—
Total	$	23.2		$	95.5	$	28.7

Liabilities and expected future payments related to the company’s work-force reduction actions are as follows:

	Total			U.S.			International
Balance at December 31, 2018	$	86.2		$	6.1		$	80.1
Additional provisions		25.7			4.6			21.1
Payments		(57.7	)		(4.0	)		(53.7	)
Changes in estimates		(3.6	)		(1.5	)		(2.1	)
Translation adjustments		(0.8	)		—			(0.8	)
Balance at December 31, 2019		49.8			5.2			44.6
Additional provisions		39.0			13.8			25.2
Payments		(21.5	)		(3.2	)		(18.3	)
Changes in estimates		(13.5	)		(2.7	)		(10.8	)
Translation adjustments		2.1			—			2.1
Balance at December 31, 2020		55.9			13.1			42.8
Additional provisions		12.3			7.9			4.4
Payments		(38.5	)		(13.2	)		(25.3	)
Changes in estimates		(11.9	)		(2.1	)		(9.8	)
Translation adjustments		(1.5	)		—			(1.5	)
Balance at December 31, 2021	$	16.3		$	5.7		$	10.6
Expected future payments on balance at December 31, 2021:
In 2022	$	14.9		$	5.7		$	9.2
Beyond 2022		1.4			—			1.4