THE HERSHEY COMPANY NOTES TO CONSOLIDATED FINANCIAL STATEMENTS—(Continued) As of December 31, 2010, we had entered into purchase agreements with various suppliers.
Subject to meeting our quality standards, the purchase obligations covered by these agreements were as follows as of December 31, 2010:
## Table 0 ##
We have commitments under various operating leases.
Future minimum payments under non-cancelable operating leases with a remaining term in excess of one year were as follows as of December 31, 2010:
## Table 1 ##
We have a number of facilities that contain varying amounts of asbestos in certain locations within the facilities.
Our asbestos management program is compliant with current applicable regulations.
Current regulations require that we handle or dispose of asbestos in a special manner if such facilities undergo major renovations or are demolished.
Plans associated with the closure of a manufacturing facility under the Next Century program may require the removal of asbestos.
The estimated liability associated with the possible removal of asbestos from the facility is not material and is included in our estimates.
With regard to other facilities, we believe we do not have sufficient information to estimate the fair value of any asset retirement obligations related to those facilities.
We cannot specify the settlement date or range of potential settlement dates and, therefore, sufficient information is not available to apply an expected present value technique.
We expect to maintain the facilities with repairs and maintenance activities that would not involve or require the removal of asbestos.
As of December 31, 2010, certain real estate associated with the closure of facilities under the global supply chain transformation program was being held for sale.
We are not aware of any significant obligations related to the environmental remediation of these facilities which have not been reflected in our current estimates.
In connection with its pricing practices, the Company is the subject of an antitrust investigation by the Canadian Competition Bureau.
In addition, the U. S.  Department of Justice notified the Company that it opened an inquiry but has not requested any information or documents.
The European Commission had requested information, but subsequently informed the Company that it had closed its file.
We also are party to approximately 90 related civil antitrust suits in the United States and 14 in Canada.
Certain of these claims contain class action allegations, instituted on behalf of direct purchasers of our products as well as indirect purchasers that purchase our products for use or for resale.
These suits allege conspiracies in restraint of trade in connection with the pricing practices of the Company.
Several other chocolate and confectionery companies are the subject of investigations and/or inquiries by the government entities referenced above and have also been named as defendants in the same litigation.
One Canadian wholesaler is also a subject of the Canadian investigation.
While it is not feasible to predict the final outcome of these proceedings, in our opinion they should not have a material adverse effect on the financial position, liquidity or results of operations of the Company.
The Company is cooperating with the government investigations and inquiries and intends to defend the lawsuits vigorously.
We have no other material pending legal proceedings, other than ordinary routine litigation incidental to our business.
discounted cash flow model (DCF) to estimate the current fair value of its reporting units when testing for impairment, as management believes forecasted cash flows are the best indicator of such fair value.
A number of significant assumptions and estimates are involved in the application of the DCF model to forecast operating cash flows, including sales growth (volumes and pricing), production costs, capital spending, and discount rate.
Most of these assumptions vary significantly among the reporting units.
Cash flow forecasts are generally based on approved business unit operating plans for the early years and historical relationships in later years.
The WACC rate for the individual reporting units is estimated with the assistance of valuation experts.
Arconic would recognize an impairment charge for the amount by which the carrying amount exceeds the reporting unit’s fair value without exceeding the total amount of goodwill allocated to that reporting unit.
In connection with the interim impairment evaluation of long-lived assets for the disks operations (an asset group within the AEN business unit) in the second quarter of 2018, which resulted from a decline in forecasted financial performance for the business in connection with its updated three-year strategic plan, the Company also performed an interim impairment evaluation of goodwill for the AEN reporting unit.
The estimated fair value of the reporting unit was substantially in excess of the carrying value; thus, there was no impairment of goodwill.
Goodwill impairment tests in 2017 and 2016 indicated that goodwill was not impaired for any of the Company’s reporting units, except for the Arconic Forgings and Extrusions (AFE) business whose estimated fair value was lower than its carrying value.
As such, Arconic recorded an impairment for the full amount of goodwill in the AFE reporting unit of $719.
The decrease in the AFE fair value was primarily due to unfavorable performance that was impacting operating margins and a higher discount rate due to an increase in the risk-free rate of return, while the carrying value increased compared to prior year.
Other Intangible Assets.
Intangible assets with indefinite useful lives are not amortized while intangible assets with finite useful lives are amortized generally on a straight-line basis over the periods benefited.
The following table details the weightedaverage useful lives of software and other intangible assets by reporting segment (numbers in years):
## Table 2 ##
Revenue Recognition.
The Company's contracts with customers are comprised of acknowledged purchase orders incorporating the Company’s standard terms and conditions, or for larger customers, may also generally include terms under negotiated multi-year agreements.
These contracts with customers typically consist of the manufacture of products which represent single performance obligations that are satisfied upon transfer of control of the product to the customer.
The Company produces fastening systems; seamless rolled rings; investment castings, including airfoils and forged jet engine components; extruded, machined and formed aircraft parts; aluminum sheet and plate; integrated aluminum structural systems; architectural extrusions; and forged aluminum commercial vehicle wheels.
Transfer of control is assessed based on alternative use of the products we produce and our enforceable right to payment for performance to date under the contract terms.
Transfer of control and revenue recognition generally occur upon shipment or delivery of the product, which is when title, ownership and risk of loss pass to the customer and is based on the applicable shipping terms.
The shipping terms vary across all businesses and depend on the product, the country of origin, and the type of transportation (truck, train, or vessel).
An invoice for payment is issued at time of shipment.
The Company’s objective is to have net 30-day terms.
Our business units set commercial terms on which Arconic sells products to its customers.
These terms are influenced by industry custom, market conditions, product line (specialty versus commodity products), and other considerations.
In certain circumstances, Arconic receives advanced payments from its customers for product to be delivered in future periods.
These advanced payments are recorded as deferred revenue until the product is delivered and title and risk of loss have passed to the customer in accordance with the terms of the contract.
Deferred revenue is included in Other current liabilities and Other noncurrent liabilities and deferred credits on the accompanying Consolidated Balance Sheet.
Environmental Matters.
Expenditures for current operations are expensed or capitalized, as appropriate.
Expenditures relating to existing conditions caused by past operations, which will not contribute to future revenues, are expensed.
Liabilities are recorded when remediation costs are probable and can be reasonably estimated.
The liability may include costs such as site investigations, consultant fees, feasibility studies, outside contractors, and monitoring expenses.
Estimates are generally not discounted or reduced by potential claims for recovery.
Claims for recovery are recognized when probable and as agreements are reached with third parties.
The estimates also include costs related to other potentially responsible parties to the extent that Arconic has reason to believe such parties will not fully pay their proportionate share.
The liability is continuously reviewed and adjusted to reflect current remediation progress, prospective estimates of required activity, and other factors that may be relevant, including changes in technology or regulations.
Litigation Matters.
For asserted claims and assessments, liabilities are recorded when an unfavorable outcome of a matter is
Principal Financial Group, Inc.  Notes to Consolidated Financial Statements — (continued) 6.
Investments — (continued) consist primarily of $2,192.3 million in unrealized losses within the mortgage-backed and other asset-backed securities sector at December 31, 2008.
The average price of the mortgage-backed and other asset-backed securities sector is 52 and the average credit rating is AA-.
The losses on these securities can primarily be attributed to changes in market interest rates and changes in credit spreads since the securities were acquired.
Because we have the ability and intent to hold the available-for-sale securities with unrealized losses until a recovery of fair value, which may be maturity, we do not consider these investments to be other-than-temporarily impaired at December 31, 2008.
## Table 3 ##
As of December 31, 2007, we held $19,990.4 million in available-for-sale fixed maturity securities with unrealized losses of $1,187.6 million.
Of these amounts, Principal Life’s consolidated portfolio represented $19,574.5 million in available-for-sale fixed maturity securities with unrealized losses of $1,168.2 million.
Principal Life’s consolidated portfolio consisted of fixed maturity securities where 95% were investment grade (rated AAA through BBB-) with an average price of 94 (carrying value/amortized cost) at December 31, 2007.
Due to the credit disruption in the last half of 2007 that led to reduced liquidity and wider credit spreads, we saw an increase in unrealized losses in our securities portfolio.
The unrealized losses were more pronounced in structured products such as collateralized debt obligations and asset-backed securities.
For those securities that had been in a loss position for less than twelve months, Principal Life’s consolidated portfolio held 1,268 securities with a carrying value of $11,897.8 million and unrealized losses of $785.5 million reflecting an average price of 94 at December 31, 2007.
Of this portfolio, 93% was investment grade (rated AAA through BBB-) at December 31, 2007, with associated unrealized losses of $738.0 million.
The losses on these securities can primarily be attributed to changes in market interest rates and changes in credit spreads since the securities were acquired.
For those securities that had been in a continuous loss position greater than or equal to twelve months, Principal Life’s consolidated portfolio held 945 securities with a carrying value of $7,676.7 million and unrealized losses of $382.7 million.
The average rating of this portfolio was A with an average price of 95 at December 31, 2007.
Of the $382.7 million in unrealized losses, the Corporate-public and Corporate-private sectors accounted for $283.8 million in unrealized losses with an average price of 95 and an average credit rating of BBB+.
The remaining unrealized losses consisted primarily of $95.6 million in unrealized losses within the mortgage-backed and other asset-backed securities sector at December 31, 2007.
The average price of the mortgage-backed and other asset-backed securities sector was 96 and the average credit rating was AA+.
The losses on these securities can primarily be attributed to changes in market interest rates and changes in credit spreads since the securities were acquired.
Because we had the ability and intent to hold the available-for-sale securities with unrealized losses until a recovery of fair value, which may be maturity, we did not consider these investments to be other-than-temporarily impaired at December 31, 2007.

Tables referenced above, in order (Table 0 first):
<table><tr><td> Obligations</td><td> 2011</td><td> 2012</td><td> 2013</td><td> 2014</td></tr><tr><td> In millions of dollars</td><td></td><td></td><td></td><td></td></tr><tr><td>Purchase obligations</td><td>$1,257.1</td><td>$565.3</td><td>$201.7</td><td>$5.6</td></tr></table>
<table><tr><td> Lease Commitments</td><td> 2011</td><td> 2012</td><td> 2013</td><td> 2014</td><td> 2015</td><td> Thereafter</td></tr><tr><td> In millions of dollars</td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>Future minimum rental payments</td><td>$14.9</td><td>$12.8</td><td>$7.6</td><td>$6.0</td><td>$5.5</td><td>$8.8</td></tr></table>
<table><tr><td></td><td>Software</td><td>Other intangible assets</td></tr><tr><td>Engineered Products and Solutions</td><td>5</td><td>33</td></tr><tr><td>Global Rolled Products</td><td>5</td><td>9</td></tr><tr><td>Transportation and Construction Solutions</td><td>5</td><td>16</td></tr></table>
<table><tr><td> </td><td colspan="6"> December 31, 2007</td></tr><tr><td> </td><td colspan="2"> Less than twelve months</td><td colspan="2"> Greater than or equal to twelve months</td><td colspan="2"> Total</td></tr><tr><td> </td><td> Carrying value</td><td> Gross unrealized losses</td><td> Carrying value</td><td> Gross unrealized losses</td><td> Carrying value</td><td> Gross unrealized losses</td></tr><tr><td> </td><td colspan="6"><i>(in millions)</i> </td></tr><tr><td>Fixed maturities, available-for-sale:</td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>U.S. government and agencies</td><td>$4.2</td><td>$0.1</td><td>$19.3</td><td>$—</td><td>$23.5</td><td>$0.1</td></tr><tr><td>Non-U.S. governments</td><td>61.4</td><td>1.1</td><td>13.7</td><td>0.2</td><td>75.1</td><td>1.3</td></tr><tr><td>States and political subdivisions</td><td>375.2</td><td>7.1</td><td>205.7</td><td>3.1</td><td>580.9</td><td>10.2</td></tr><tr><td>Corporate — public</td><td>5,076.0</td><td>243.7</td><td>3,558.2</td><td>210.3</td><td>8,634.2</td><td>454.0</td></tr><tr><td>Corporate — private</td><td>3,386.5</td><td>133.5</td><td>1,801.9</td><td>87.8</td><td>5,188.4</td><td>221.3</td></tr><tr><td>Mortgage-backed and other asset-backed securities</td><td>3,310.5</td><td>405.1</td><td>2,177.8</td><td>95.6</td><td>5,488.3</td><td>500.7</td></tr><tr><td>Total fixed maturities, available-for-sale</td><td>$12,213.8</td><td>$790.6</td><td>$7,776.6</td><td>$397.0</td><td>$19,990.4</td><td>$1,187.6</td></tr><tr><td>Total equity securities, available-for-sale</td><td>$110.2</td><td>$12.3</td><td>$26.5</td><td>$3.2</td><td>$136.7</td><td>$15.5</td></tr></table>

Question: What is the ratio of all elements that are smaller than 100 for Carrying value of Less than twelve months?
Answer: 0.00532
Reasoning program: add(4.2,61.4), add(12213.8,110.2), divide(#0,#1)