{"id":55922,"date":"2015-10-24T15:53:01","date_gmt":"2015-10-24T13:53:01","guid":{"rendered":"http:\/\/wpcalc.com\/?p=55922"},"modified":"2026-09-28T09:32:34","modified_gmt":"2026-09-28T06:32:34","slug":"permille","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/en\/converters\/permille\/","title":{"rendered":"Permille to Decimal and Meter Converter"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">Convert Permille to Decimal or Length<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"55922\" data-favorite-title=\"Permille to Decimal and Meter\" data-favorite-url=\"https:\/\/wpcalc.com\/en\/converters\/permille\/\" data-favorite-excerpt=\"Convert a permille (\u2030) value to a decimal, or find its equivalent distance in meters over 1 km. Enter the value and choose a result under Convert to.\" aria-label=\"Add to Favorites\" data-favorite-icon=\"icon icon-units\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/en\/converters\/permille\/\" method=\"POST\" class=\"calculator\" id=\"calculator-55922\" data-post=\"55922\"><fieldset class=\"fieldset-input\"><legend class=\"sr-only\">Input Fields<\/legend><div class=\"field\" id=\"input-1\"><label for=\"field-1\">Value<\/label><input type=\"text\" name=\"value\" id=\"field-1\" aria-describedby=\"calc-unit-1 calc-info-1\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"5\"\/><div class=\"unit\" id=\"calc-unit-1\">\u2030<\/div><small id=\"calc-info-1\">Enter the permille value you want to convert<\/small><\/div><div class=\"field\" id=\"input-2\"><label for=\"field-2\">Convert to<\/label><div class=\"grid grid-cols-1\"><select id=\"field-2\" name=\"convert_to\"><option value=\"decimal\">Decimal<\/option><option value=\"meter\">Meter (for 1 km)<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Re-Calculate\" id=\"calculate-button\" data-post=\"55922\">Calculate<\/button><button type=\"reset\">Reset<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Calculate automatically<\/label><small>If enabled, the result will update automatically when you change any value.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> Your Results<\/h3><div class=\"result-box\"><div class=\"field-result is-column\" id=\"output-1\"><span class=\"field-title\"><span>Converted Value<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Copy link to this calculation<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Leave a Comment<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"55922\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">How did this result make you feel?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Like <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Helpful <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Confused <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Disappointed <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Inaccurate <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>Permille to Decimal and Meter Formula<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Formula<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[D=\\frac{P}{1000},\\qquad \\Delta h=\\frac{P}{1000}\\times 1000\\,\\mathrm{m}=P\\,\\mathrm{m}\\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Where:<\/strong><\/p>\n<ul>\n<li>\\(P\\) \u2014 the value in permille (\u2030).<\/li>\n<li>\\(D\\) \u2014 the corresponding decimal value, with no unit.<\/li>\n<li>\\(\\Delta h\\) \u2014 the distance in meters represented by that ratio over a 1 km baseline.<\/li>\n<\/ul>\n<p>Permille means parts per thousand, so dividing by 1,000 gives the decimal ratio. Applying that ratio to 1 km (1,000 m) gives the meter result; this calculator does not accept a different baseline length.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-459\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>Permille to Decimal and Meter \u2013 Calculation Example<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Example:<\/strong> Enter the default Value of 5\u2030 and leave Convert to set to Decimal.<\/p>\n<p>\\[D=\\frac{5}{1000}=0.005\\]<\/p>\n<p><strong>Result:<\/strong> 0.005, with no unit. If you instead select Meter (for 1 km), the same 5\u2030 ratio gives \\(0.005\\times 1000\\,\\mathrm{m}=5\\,\\mathrm{m}\\), so the result is 5 m.<\/p>\n<p>\n\r\n<\/section>\n<h2>How to use the calculator<\/h2>\n<ol>\n<li>Enter a nonnegative number in <strong>Value<\/strong>. The field is measured in permille (\u2030); for example, enter 5 for 5\u2030, not 0.005.<\/li>\n<li>Under <strong>Convert to<\/strong>, choose <strong>Decimal<\/strong> to get a unitless ratio, or <strong>Meter (for 1 km)<\/strong> to apply that ratio to exactly 1 km.<\/li>\n<li>Read the <strong>Converted Value<\/strong>. The decimal option shows a number without a unit; the meter option shows a number followed by m.<\/li>\n<\/ol>\n<p>To compare a permille value with a percentage, divide the permille number by 10: 5\u2030 equals 0.5%. If you need the distance in another unit after choosing meters, use the <a href=\"https:\/\/wpcalc.com\/en\/converters\/meters-to-feet\/\">meters to feet converter<\/a>.<\/p>\n<h2>What a permille conversion means<\/h2>\n<p>Permille, written \u2030, expresses a ratio out of 1,000. A value of 1\u2030 means one part for every 1,000 parts of the same whole. It is dimensionless: 5\u2030 is the ratio 5\/1,000, or 0.005. Unlike the percent sign (%), which means parts per hundred, the permille sign uses a thousand as its denominator. This makes small ratios convenient to write without several leading zeros.<\/p>\n<p>The decimal result is useful when a calculation expects a multiplier rather than a value marked \u2030. For example, a 5\u2030 share of a quantity is found by multiplying that quantity by 0.005. The calculator converts the ratio only; it does not calculate a share of an amount that you enter separately. For larger values, the same rule still applies: 1,000\u2030 equals 1 as a decimal, or 100%.<\/p>\n<p>The meter result has a narrower meaning. It applies the permille ratio to a fixed distance of 1 km, which equals 1,000 m. For example, a 5\u2030 slope corresponds to a 5 m elevation change over 1 km of horizontal distance. The meter figure can also describe another proportional distance over a 1 km baseline, but only when the original permille value represents a distance ratio. A concentration of 5\u2030 does not, by itself, describe 5 m of anything.<\/p>\n<h2>Assumptions and practical limits<\/h2>\n<ul>\n<li><strong>The baseline is fixed.<\/strong> Meter (for 1 km) always uses 1,000 m. For a different baseline, multiply the decimal result by your chosen distance in meters. At 5\u2030 over 200 m, the proportional distance is \\(0.005\\times 200=1\\,\\mathrm{m}\\).<\/li>\n<li><strong>Use matching definitions of distance.<\/strong> In a slope calculation, the usual interpretation is elevation change divided by horizontal distance, not distance measured along the sloping surface. Check how the source of your permille figure defines its baseline.<\/li>\n<li><strong>Only nonnegative input is accepted.<\/strong> The Value field has a minimum of zero. For a downhill slope, you can convert its nonnegative magnitude and describe the direction separately.<\/li>\n<li><strong>Displayed precision is limited.<\/strong> Decimal results are rounded to four decimal places, while meter results are rounded to two. A very small nonzero ratio may therefore display as 0 in Decimal mode; that display does not mean the original value is zero.<\/li>\n<\/ul>\n<p>The word \u201cmilli\u201d in metric units also refers to a factor of one thousandth, but a metric prefix attached to a unit is not the same thing as a permille ratio. For unit scaling rather than parts-per-thousand ratios, use the <a href=\"https:\/\/wpcalc.com\/en\/converters\/metric-prefix\/\">metric prefix converter<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Convert a permille (\u2030) value to a decimal, or find its equivalent distance in meters over 1 km. Enter the value and choose a result under Convert to.<\/p>\n","protected":false},"author":70,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[3],"tags":[13],"class_list":["post-55922","post","type-post","status-publish","format-standard","hentry","category-converters","tag-basic-units"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/55922","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/users\/70"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/comments?post=55922"}],"version-history":[{"count":3,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/55922\/revisions"}],"predecessor-version":[{"id":65302,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/55922\/revisions\/65302"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/media?parent=55922"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/categories?post=55922"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/tags?post=55922"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}