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<title>Convert Decimals to Percents</title>
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<h1 class="center">Convert Decimals to Percents</h1>
"Percent" means "per 100" so:
<div class="def">
<p><b>Multiply the Decimal Number by 100</b>%</p>
<p>This is safe to do because 100% = 1, and multiplying by 1 does not change the value.</p>
</div>
<div class="example">
<h3>Example: Convert 0.125 to percent</h3>
<p>Multiply 0.125 by 100%:</p>
<p class="center larger">0.125 × 100% = <b>12.5%</b></p>
<p>Don't forget the % sign!</p>
<p>Answer <b>0.125 = 12.5%</b></p>
</div>
<p>The easy way to multiply by 100 is to <b>move the decimal point 2 places to the right</b>:</p>
<div class="simple">
<div class="indent50px">
<table style="border: 0; margin:auto;">
<tbody>
<tr>
<td class="larger">From Decimal </td>
<td class="larger" align="right">To Percent</td>
<td>&nbsp;</td>
</tr>
<tr>
<td colspan="2"><img src="numbers/images/decimal-to-percent.svg" alt="decimal to percent" height="65" width="340"></td>
<td class="larger">move the decimal point <b>2 places to the right</b><br>
(and add the "%" sign!)</td>
</tr>
</tbody></table>
</div>
</div>
<p>More Examples:</p>
<div class="example">
<h3>Example: Convert 0.35 to percent</h3>
<p>Move the decimal point two places to the right: 0.35 → 3.5 → 35%</p>
<p>Answer <b>0.35 = 35%</b></p>
</div>
<div class="example">
<h3>Example: Convert 0.985 to percent</h3>
<p>Move the decimal point two places to the right: 0.985 → 9.85 → 98.5%</p>
<p>Answer <b>0.985 = 98.5%</b></p>
</div>
<p>You may also need to add zeros on the right to move the decimal point:</p>
<div class="example">
<h3>Example: Convert 1.2 to percent</h3>
<p>Move the decimal point two places to the right: 1.2 → 12. → 120.%</p>
<p>Answer <b>1.2 = 120%</b></p>
</div>
<h2>Why</h2>
<table style="border: 0;">
<tbody>
<tr>
<td><span style="float:left; margin: 10px;"><img src="numbers/images/percent-grid-50.svg" alt="grid 50 of 100" height="144" width="144"></span></td>
<td>
<p>These all mean the same thing:</p>
<ul>
<li><b>0.5</b> (half) of the box is green.</li>
<li>50 of the 100 squares are green,</li>
<li><span class="intbl">
<em>50</em>
<strong>100</strong>
</span> of the box is green,</li>
<li><b>50%</b> of the box is green.</li>
</ul> </td>
</tr>
</tbody></table>
<p class="center large">So <b>0.5</b> (a decimal number) = <b>50%</b> (a percentage)</p>
<p>The "%" tells you that there is a hidden "/100" there.</p>
<table style="border: 0;">
<tbody>
<tr>
<td><span style="float:left; margin: 10px;"><img src="numbers/images/percent-grid-25.svg" alt="grid 50 of 100" height="144" width="144"></span></td>
<td>
<p>Another example:</p>
<ul>
<li><b>0.25</b> (a quarter) of the box is green.</li>
<li>25 of the 100 squares are green,</li>
<li><span class="intbl">
<em>25</em>
<strong>100</strong>
</span> of the box is green,</li>
<li><b>25%</b> of the box is green.</li>
</ul></td>
</tr>
</tbody></table>
<p class="center large">So <b>0.25</b> (a decimal number) = <b>25%</b> (a percentage)</p>
<div class="indent50px"></div>
<p>&nbsp;</p>
<div class="questions">1364,897,1321,898,1322,1365,1366,3492,3493,3494</div>
<div class="related">
<a href="converting-percents-decimals.html">Convert Percents to Decimals</a>
<a href="decimal-fraction-percentage.html">Decimals, Fractions and Percentages</a>
<a href="percentage-calculator.html">Percentage Calculator</a>
<a href="decimals.html">Introduction to Decimals</a>
<a href="percentage.html">Introduction to Percentages</a>
<a href="decimals-menu.html">Decimals Index</a>
<a href="percentage-menu.html">Percents Index</a>
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