Revenue Trends by Product Type The following table summarizes revenue by product categories.
The categorization of our products into broad categories is based on the characteristics of the individual products, the specification of the products and in some cases the specific uses that certain products have within applications.
The categorization of products into categories is therefore subject to judgment in some cases and can vary over time.
In instances where products move between product categories, we reclassify the amounts in the product categories for all prior periods.
Such reclassifications typically do not materially change the sizing of, or the underlying trends of results within, each product category.
## Table 0 ##
* The sum of the individual percentages do not equal the total due to rounding.
The year-to-year fluctuations in total revenue for the years presented were the result of a broad-based demand shift across all product categories.
Revenue Trends by Geographic Region During fiscal year 2012 we changed our method for classifying revenue by geographic region to more accurately reflect the primary location of our customers' design activity for our products.
Prior periods have been reclassified to align with this definition.
In general, the prior classification method reflected the customers' manufacturing location or the distributors' stocking territory.
No changes have been made to our revenue recognition policy.
A breakdown of our fiscal 2012, 2011 and 2010 revenue by geographic location follows.
## Table 1 ##
In fiscal years 2012, 2011 and 2010, the predominant countries comprising “Rest of North and South America” are Canada and Mexico; the predominant countries comprising “Europe” are Germany, Sweden, France and the United Kingdom; and the predominant countries comprising “Rest of Asia” are Taiwan and South Korea.
Sales decreased in all regions in fiscal 2012 as compared to fiscal 2011 as a result of a broad-based decrease in demand.
Sales increased in all geographic regions, except Japan and Rest of Asia, in fiscal 2011 as compared to fiscal 2010, primarily as a result of increases in sales activity in the industrial, automotive and communications end market sectors.
The year-to-year decrease in sales in Japan and Rest of Asia was primarily the result of lower sales activity in the consumer end market sector in this region due to the earthquake and tsunami that occurred in Japan in March 2011.
Gross Margin
## Table 2 ##
Gross margin percentage in fiscal 2012 decreased 190 basis points compared to fiscal 2011 primarily as a result of decreased operating levels in our manufacturing facilities as well as a reduced percentage of sales of our products sold into the industrial automation and instrumentation sectors of the industrial end market and the wireless base station sector of the communications end market, which earn higher margins as compared to products sold into our other end market sectors.
Gross margin percentage in fiscal 2011 increased 120 basis points compared to fiscal 2010 primarily as a result of an increase in sales of $231.8 million, increased operating levels in our manufacturing facilities and the impact of efforts to reduce overall manufacturing costs, including the savings realized as a result of our wafer fabrication consolidation actions.
Additionally, a higher proportion of our revenues were from products sold into the instrumentation and automation sectors of the industrial end market, which earn higher margins as compared to products sold into our other end markets.
Research and Development (R&D)
## Table 3 ##
R&D expenses increased in fiscal 2012 as compared to fiscal 2011 as a result of annual salary increases that became effective during the second quarter of fiscal 2012 and a general increase in spending, partially offset by lower variable compensation expense, which is linked to our overall profitability and revenue growth.
R&D expenses increased in fiscal 2011 as compared to fiscal 2010.
The increase was primarily the result of higher employee salary and benefit expense due to salary increases that were effective in the second quarter of fiscal 2011, increased headcount, and a general increase in spending.
These increases were partially offset by lower variable compensation expense, which is a variable expense linked to our overall profitability and revenue growth.
R&D expenses as a percentage of revenue will fluctuate from year-to-year depending on the amount of revenue and the success of new product development efforts, which we view as critical to our future growth.
We have hundreds of R&D projects underway, none of which we believe are material on an individual basis.
We expect to continue the development of innovative technologies and processes for new products.
We believe that a continued commitment to R&D is essential to maintain product leadership with our existing products as well as to provide innovative new product offerings, and therefore, we expect to continue to make significant R&D investments in the future.
ANALOG DEVICES, INC.  NOTES TO CONSOLIDATED FINANCIAL STATEMENTS — (Continued) and fifth anniversaries of the date of grant.
The maximum contractual term of all options is ten years.
In addition, the Company has granted to employees restricted stock units that generally vest in one installment on the third anniversary of the grant date.
As of November 3, 2012, a total of 7,781,812 common shares were available for future grant and 37,294,337 common shares were reserved for issuance under the 2006 Plan.
Stock-based compensation is measured at the grant date based on the grant-date fair value of the awards ultimately expected to vest, and is recognized as an expense on a straight-line basis over the vesting period, which is generally five years for stock options and three years for restricted stock units.
Determining the amount of stock-based compensation to be recorded requires the Company to develop estimates used in calculating the grant-date fair value of stock options.
Grant-Date Fair Value Information pertaining to the Company’s stock option awards and the related estimated weighted-average assumptions to calculate the fair value of stock options granted is as follows:
## Table 4 ##
Expected volatility — The Company is responsible for estimating volatility and has considered a number of factors, including third-party estimates.
The Company currently believes that the exclusive use of implied volatility results in the best estimate of the grant-date fair value of employee stock options because it reflects the market’s current expectations of future volatility.
In evaluating the appropriateness of exclusively relying on implied volatility, the Company concluded that: (1) options in the Company’s common stock are actively traded with sufficient volume on several exchanges; (2) the market prices of both the traded options and the underlying shares are measured at a similar point in time to each other and on a date close to the grant date of the employee share options; (3) the traded options have exercise prices that are both near-the-money and close to the exercise price of the employee share options; and (4) the remaining maturities of the traded options used to estimate volatility are at least one year.
Expected term — The Company uses historical employee exercise and option expiration data to estimate the expected term assumption for the Black-Scholes grant-date valuation.
The Company believes that this historical data is currently the best estimate of the expected term of a new option, and that generally its employees exhibit similar exercise behavior.
Risk-free interest rate — The yield on zero-coupon U. S.  Treasury securities for a period that is commensurate with the expected term assumption is used as the risk-free interest rate.
Expected dividend yield — Expected dividend yield is calculated by annualizing the cash dividend declared by the Company’s Board of Directors for the current quarter and dividing that result by the closing stock price on the date of grant.
Until such time as the Company’s Board of Directors declares a cash dividend for an amount that is different from the current quarter’s cash dividend, the current dividend will be used in deriving this assumption.
Cash dividends are not paid on options, restricted stock or restricted stock units.
Stock-Based Compensation Expense The amount of stock-based compensation expense recognized during a period is based on the value of the awards that are ultimately expected to vest.
Forfeitures are estimated at the time of grant and revised, if necessary, in subsequent periods if actual forfeitures differ from those estimates.
The term “forfeitures” is distinct from “cancellations” or “expirations” and represents only the unvested portion of the surrendered stock-based award.
Based on an analysis of its historical forfeitures, the Company has applied an annual forfeiture rate of 4.4% to all unvested stock-based awards as of November 3, 2012.
The rate of
correlations calculated over the past 250-day period.
The high, low and average measured value-at-risk during fiscal 2014 related to our foreign exchange contracts is as follows:

Tables referenced above, in order (Table 0 first):
<table><tr><td></td><td colspan="3">2012</td><td colspan="2">2011</td><td colspan="2">2010</td></tr><tr><td></td><td>Revenue</td><td>% ofTotalProductRevenue*</td><td>Y/Y%</td><td>Revenue</td><td>% ofTotalProductRevenue</td><td>Revenue</td><td>% ofTotalProductRevenue</td></tr><tr><td>Converters</td><td>$1,192,064</td><td>44%</td><td>-11%</td><td>$1,343,487</td><td>45%</td><td>$1,295,700</td><td>47%</td></tr><tr><td>Amplifiers/Radio frequency</td><td>697,687</td><td>26%</td><td>-11%</td><td>788,299</td><td>26%</td><td>701,557</td><td>25%</td></tr><tr><td>Other analog</td><td>397,376</td><td>15%</td><td>-3%</td><td>410,323</td><td>14%</td><td>334,663</td><td>12%</td></tr><tr><td>Subtotal analog signal processing</td><td>2,287,127</td><td>85%</td><td>-10%</td><td>2,542,109</td><td>85%</td><td>2,331,920</td><td>84%</td></tr><tr><td>Power management & reference</td><td>182,134</td><td>7%</td><td>-16%</td><td>217,615</td><td>7%</td><td>194,740</td><td>7%</td></tr><tr><td>Total analog products</td><td>$2,469,261</td><td>91%</td><td>-11%</td><td>$2,759,724</td><td>92%</td><td>$2,526,660</td><td>91%</td></tr><tr><td>Digital signal processing</td><td>231,881</td><td>9%</td><td>-1%</td><td>233,596</td><td>8%</td><td>234,843</td><td>9%</td></tr><tr><td>Total Revenue</td><td>$2,701,142</td><td>100%</td><td>-10%</td><td>$2,993,320</td><td>100%</td><td>$2,761,503</td><td>100%</td></tr></table>
<table><tr><td></td><td></td><td></td><td></td><td colspan="4">Change</td></tr><tr><td></td><td colspan="3">Fiscal Year</td><td colspan="2">2012 over 2011</td><td colspan="2">2011 over 2010</td></tr><tr><td></td><td>2012</td><td>2011</td><td>2010</td><td>$ Change</td><td>% Change</td><td>$ Change</td><td>% Change</td></tr><tr><td>United States</td><td>$818,653</td><td>$866,142</td><td>$794,463</td><td>$-47,489</td><td>-5%</td><td>$71,679</td><td>9%</td></tr><tr><td>Rest of North and South America</td><td>114,133</td><td>144,585</td><td>134,327</td><td>-30,452</td><td>-21%</td><td>10,258</td><td>8%</td></tr><tr><td>Europe</td><td>852,668</td><td>967,417</td><td>816,561</td><td>-114,749</td><td>-12%</td><td>150,856</td><td>18%</td></tr><tr><td>Japan</td><td>333,558</td><td>398,587</td><td>433,706</td><td>-65,029</td><td>-16%</td><td>-35,119</td><td>-8%</td></tr><tr><td>China</td><td>341,196</td><td>360,594</td><td>320,739</td><td>-19,398</td><td>-5%</td><td>39,855</td><td>12%</td></tr><tr><td>Rest of Asia</td><td>240,934</td><td>255,995</td><td>261,707</td><td>-15,061</td><td>-6%</td><td>-5,712</td><td>-2%</td></tr><tr><td>Total Revenue</td><td>$2,701,142</td><td>$2,993,320</td><td>$2,761,503</td><td>$-292,178</td><td>-10%</td><td>$231,817</td><td>8%</td></tr></table>
<table><tr><td></td><td></td><td></td><td></td><td colspan="4">Change</td></tr><tr><td></td><td colspan="3">Fiscal Year</td><td colspan="2">2012 over 2011</td><td colspan="2">2011 over 2010</td></tr><tr><td></td><td>2012</td><td>2011</td><td>2010</td><td>$ Change</td><td>% Change</td><td>$ Change</td><td>% Change</td></tr><tr><td>Gross Margin</td><td>$1,741,001</td><td>$1,986,541</td><td>$1,799,422</td><td>$-245,540</td><td>-12%</td><td>$187,119</td><td>10%</td></tr><tr><td>Gross Margin %</td><td>64.5%</td><td>66.4%</td><td>65.2%</td><td></td><td></td><td></td><td></td></tr></table>
<table><tr><td></td><td></td><td></td><td></td><td colspan="4">Change</td></tr><tr><td></td><td colspan="3">Fiscal Year</td><td colspan="2">2012 over 2011</td><td colspan="2">2011 over 2010</td></tr><tr><td></td><td>2012</td><td>2011</td><td>2010</td><td>$ Change</td><td>% Change</td><td>$ Change</td><td>% Change</td></tr><tr><td>R&D Expenses</td><td>$512,003</td><td>$505,570</td><td>$492,305</td><td>$6,433</td><td>1%</td><td>$13,265</td><td>3%</td></tr><tr><td>R&D Expenses as a % of Revenue</td><td>19.0%</td><td>16.9%</td><td>17.8%</td><td></td><td></td><td></td><td></td></tr></table>
<table><tr><td>Stock Options</td><td>2012</td><td>2011</td><td>2010</td></tr><tr><td>Options granted (in thousands)</td><td>2,456</td><td>1,990</td><td>1,866</td></tr><tr><td>Weighted-average exercise price</td><td>$39.58</td><td>$37.59</td><td>$31.49</td></tr><tr><td>Weighted-average grant-date fair value</td><td>$7.37</td><td>$8.62</td><td>$7.77</td></tr><tr><td>Assumptions:</td><td></td><td></td><td></td></tr><tr><td>Weighted-average expected volatility</td><td>28.4%</td><td>29.3%</td><td>31.4%</td></tr><tr><td>Weighted-average expected term (in years)</td><td>5.3</td><td>5.3</td><td>5.3</td></tr><tr><td>Weighted-average risk-free interest rate</td><td>1.1%</td><td>2.1%</td><td>2.5%</td></tr><tr><td>Weighted-average expected dividend yield</td><td>3.0%</td><td>2.4%</td><td>2.6%</td></tr></table>

Question: In the year with the most Europe in table 1, what is the growth rate of United States in table 1?
Answer: 0.09022
Reasoning program: subtract(866142,794463), divide(#0,794463)