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Income taxes (Tables)
12 Months Ended
Dec. 31, 2016
Income Tax Disclosure [Abstract]  
Total Income (Loss) Before Income Taxes and Provision for Income Taxes
Following is the total income (loss) before income taxes and the provision for income taxes for the three years ended December 31, 2016.
Year ended December 31,
 
2016

 
2015

 
2014

Income (loss) before income taxes
 
 
 
 
 
 
United States
 
$
(88.3
)
 
$
(130.6
)
 
$
(19.9
)
Foreign
 
108.8

 
71.8

 
165.4

Total income (loss) before income taxes
 
$
20.5

 
$
(58.8
)
 
$
145.5

Provision for income taxes
 
 
 
 
 
 
Current
 
 
 
 
 
 
United States
 
$
6.7

 
$
1.0

 
$
2.1

Foreign
 
47.7

 
42.2

 
59.4

State and local
 

 
0.3

 
1.0

Total
 
54.4

 
43.5

 
62.5

Deferred
 
 
 
 
 
 
United States
 

 

 

Foreign
 
2.8

 
0.9

 
23.7

Total provision for income taxes
 
$
57.2

 
$
44.4

 
$
86.2

Reconciliation of the Provision for Income Taxes
Following is a reconciliation of the provision for income taxes at the United States statutory tax rate to the provision for income taxes as reported:
Year ended December 31,
 
2016

 
2015

 
2014

United States statutory income tax provision (benefit)
 
$
7.2

 
$
(20.6
)
 
$
50.9

Income and losses for which no provision or benefit has been recognized
 
65.5

 
69.1

 
35.7

Foreign rate differential and other foreign tax expense
 
(21.1
)
 
(15.9
)
 
(22.0
)
Income tax withholdings
 
22.8

 
12.5

 
17.1

Permanent items
 
(4.7
)
 
(1.9
)
 
1.1

Enacted rate changes
 
3.5

 
9.1

 

Change in uncertain tax positions
 
0.4

 
1.5

 
0.2

Change in valuation allowances due to changes in judgment
 
(16.4
)
 
(5.4
)
 
7.0

Income tax credits, U.S.
 

 
(4.0
)
 
(3.9
)
Other
 

 

 
0.1

Provision for income taxes
 
$
57.2

 
$
44.4

 
$
86.2

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 at December 31, 2016 and 2015 were as follows:
As of December 31,
 
2016

 
2015

Deferred tax assets
 
 
 
 
Tax loss carryforwards
 
$
889.6

 
$
854.5

Postretirement benefits
 
728.9

 
695.7

Foreign tax credit carryforwards
 
317.6

 
263.2

Other tax credit carryforwards
 
91.4

 
86.7

Deferred revenue
 
81.0

 
65.7

Employee benefits and compensation
 
49.1

 
49.9

Purchased capitalized software
 
32.6

 
39.5

Depreciation
 
28.3

 
36.8

Warranty, bad debts and other reserves
 
16.1

 
14.1

Capitalized costs
 
10.9

 
13.0

Capitalized research and development
 

 
3.2

Other
 
27.7

 
39.7

 
 
2,273.2

 
2,162.0

Valuation allowance
 
(2,084.6
)
 
(2,024.9
)
Total deferred tax assets
 
$
188.6

 
$
137.1

Deferred tax liabilities
 
 
 
 
Capitalized research and development
 
$
20.3

 
$

Other
 
28.4

 
22.7

Total deferred tax liabilities
 
$
48.7

 
$
22.7

Net deferred tax assets
 
$
139.9

 
$
114.4

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,
 
2016

 
2015

 
2014

Balance at January 1
 
$
27.7

 
$
35.0

 
$
26.3

Additions based on tax positions related to the current year
 
2.7

 
3.4

 
14.4

Changes for tax positions of prior years
 
2.0

 
(4.0
)
 
(1.4
)
Reductions as a result of a lapse of applicable statute of limitations
 
(2.8
)
 
(3.4
)
 
(1.6
)
Settlements
 
(0.1
)
 
(0.9
)
 
(0.9
)
Changes due to foreign currency
 
(3.7
)
 
(2.4
)
 
(1.8
)
Balance at December 31
 
$
25.8

 
$
27.7

 
$
35.0