a valuation allowance totaling $ 43.9 million , $ 40.4 million and $ 40.1 million as of 2012 , 2011 and 2010 year end , respectively , has been established for deferred income tax assets primarily related to certain subsidiary loss carryforwards that may not be realized . realization of the net deferred income tax assets is dependent on generating sufficient taxable income prior to their expiration . although realization is not assured , management believes it is more- likely-than-not that the net deferred income tax assets will be realized . the amount of the net deferred income tax assets considered realizable , however , could change in the near term if estimates of future taxable income during the carryforward period fluctuate . the following is a reconciliation of the beginning and ending amounts of unrecognized tax benefits for 2012 , 2011 and ( amounts in millions ) 2012 2011 2010 .

Table:
( amounts in millions ) | 2012 | 2011 | 2010
unrecognized tax benefits at beginning of year | $ 11.0 | $ 11.1 | $ 17.5
gross increases 2013 tax positions in prior periods | 0.7 | 0.5 | 0.6
gross decreases 2013 tax positions in prior periods | -4.9 ( 4.9 ) | -0.4 ( 0.4 ) | -0.4 ( 0.4 )
gross increases 2013 tax positions in the current period | 1.2 | 2.8 | 3.1
settlements with taxing authorities | 2013 | -1.2 ( 1.2 ) | -9.5 ( 9.5 )
increase related to acquired business | 2013 | 2013 | 0.4
lapsing of statutes of limitations | -1.2 ( 1.2 ) | -1.8 ( 1.8 ) | -0.6 ( 0.6 )
unrecognized tax benefits at end of year | $ 6.8 | $ 11.0 | $ 11.1
of the $ 6.8 million , $ 11.0 million and $ 11.1 million of unrecognized tax benefits as of 2012 , 2011 and 2010 year end , respectively , approximately $ 4.1 million , $ 9.1 million and $ 11.1 million , respectively , would impact the effective income tax rate if recognized .
interest and penalties related to unrecognized tax benefits are recorded in income tax expense .
during 2012 and 2011 , the company reversed a net $ 0.5 million and $ 1.4 million , respectively , of interest and penalties to income associated with unrecognized tax benefits .
as of 2012 , 2011 and 2010 year end , the company has provided for $ 1.6 million , $ 1.6 million and $ 2.8 million , respectively , of accrued interest and penalties related to unrecognized tax benefits .
the unrecognized tax benefits and related accrued interest and penalties are included in 201cother long-term liabilities 201d on the accompanying consolidated balance sheets .
snap-on and its subsidiaries file income tax returns in the united states and in various state , local and foreign jurisdictions .
it is reasonably possible that certain unrecognized tax benefits may either be settled with taxing authorities or the statutes of limitations for such items may lapse within the next 12 months , causing snap-on 2019s gross unrecognized tax benefits to decrease by a range of zero to $ 2.4 million .
over the next 12 months , snap-on anticipates taking uncertain tax positions on various tax returns for which the related tax benefit does not meet the recognition threshold .
accordingly , snap-on 2019s gross unrecognized tax benefits may increase by a range of zero to $ 1.6 million over the next 12 months for uncertain tax positions expected to be taken in future tax filings .
with few exceptions , snap-on is no longer subject to u.s .
federal and state/local income tax examinations by tax authorities for years prior to 2008 , and snap-on is no longer subject to non-u.s .
income tax examinations by tax authorities for years prior to 2006 .
the undistributed earnings of all non-u.s .
subsidiaries totaled $ 492.2 million , $ 416.4 million and $ 386.5 million as of 2012 , 2011 and 2010 year end , respectively .
snap-on has not provided any deferred taxes on these undistributed earnings as it considers the undistributed earnings to be permanently invested .
determination of the amount of unrecognized deferred income tax liability related to these earnings is not practicable .
2012 annual report 83 .

Question: what was the average undistributed earnings of all non-u.s . subsidiaries from 2010 to 2012 in millions
Answer: 431.7\\n
Calculation: add(492.2, 416.4), add(#0, 386.5), add(#1, const_3), divide(#2, const_2)