# percent to decimal

That's fine! In other words, I have to move the decimal point two places to the left when I convert from a percent (50%) to a decimal (0.50). Converting decimals into percents is also very simple. The solution to the above problem is not surprising, since percents, dollars and cents are all based on the number 100. To convert a decimal into a percentage we multiply it by a 100. (It comes from the Latin per centum for "thoroughly hundred".) Finish converting your percentage to a decimal by moving the decimal point over to the left by two. Pay attention to what you're doing! You should expect this result from time to time. We know ads can be annoying, but they’re what allow us to make all of wikiHow available for free. How to convert percent to decimal. Let's look at another example of writing percents as decimals. We know from the previous lesson that .35 = 35%. Let's take another look at Example 1, this time including the fractional equivalents of each percent. To do any other percent-to-decimal conversion, I move the decimal point the same number of places in the same direction, and drop the "%" character. (Or skip the widget and continue with the lesson. First you convert the percent to a decimal, and then you convert the decimal to an out-of-a-hundred fraction. The term originates from a Latin word –per centum which means by a hundred. Then you simplify, if possible. So, to convert from percent to decimal: divide by 100, and remove the "%" sign. Free Math Worksheets © 2020. Percent-to-fraction conversions aren't too bad. Solution: 35% of one dollar is \$.35, or 35 cents. When we divide 50 by 100 we get 0.5 (a decimal number).. We use cookies to make wikiHow great. Then I converted the decimal to an out-of-a-hundred fraction. If you began with 50%, you will now have “50.0” on your paper. or simply 50/100. When writing with decimals instead of percents, 100% becomes 1. Replace the percent sign with a decimal point and then move this decimal point two places to the left: 0.9944. katex.render("33\\, \\dfrac{1}{3} \\% = 0.33\\, \\dfrac{1}{3} = \\dfrac{33\\, \\frac{1}{3}}{100} = \\dfrac{\\left(\\frac{100}{3}\\right)}{\\left(\\frac{100}{1}\\right)} = \\dfrac{1}{3}", percnt05); Note here that the fraction is carried right along. Example: 10% becomes 10/100 = 0.10; Example: 67.5% becomes 67.5/100 = 0.675 Custom Math Writing Services – How Do They Help. You can take additional classes, work with a tutor, or watch tutorials online to help with your math. The 14% we mentioned earlier will become 14/100 when you write as a fraction. Please help us continue to provide you with our trusted how-to guides and videos for free by whitelisting wikiHow on your ad blocker. Remember to leave out the percentage sign when making this calculation! Check your manual. When you talk about a percentage, you are really saying “per 100.”. Now you are ready to practice by yourself. If you have a graphing calculator, you can probably have the calculator do this conversion for you. Example 2: Write each percent as a decimal:     12.5%,    89.19%,    39.2%,    71.935%. Free Math Worksheets is a math related website that contains pre-algebra, algebra and geometry worksheets and tests. Try the entered exercise, or type in your own exercise. Change 80% to a decimal. When writing with decimals instead of percents, 100% becomes 1. Please accept "preferences" cookies in order to enable this widget. Learning to convert numbers from percentages to decimal formats is a simple and straightforward process that you can easily get the hang of! The fraction does not count toward the decimal places in your fractional form. Immediate feedback is provided in the RESULTS BOX. For example, if your starting value is 50%, you simply drop the percentage symbol. Thanks to all authors for creating a page that has been read 2,547 times. (Click here to be taken directly to the Mathway site, if you'd like to check out their software or get further info.). % of people told us that this article helped them. All Rights Reserved. All you need to do is convert your percent to a decimal, and you’re good to go. Enjoy using the worksheets below. It is 14 out of 26, or katex.render("\\frac{14}{26}", typed04);14/26 = 0.538461538462..., which is about 54%. 0.04. 0.8. Problem: What is 35 percent of one dollar? For example, if you have 75% and divide it by 100, then you get 0.75. Try the entered exercise, or type in your own exercise. When you write your answer, include one zero on the left side of the decimal point as a place holder. All right reserved. Percentages refer to fractions of a whole; that is, whatever you're looking at, the percentage is how much of the whole thing you have.  X Research source Use a simple handheld calculator, an online calculator, or a calculator app on a smartphone, tablet or computer. Then the resulting mixed number is placed over a hundred: two zeroes for the two decimal places in the decimal form. Convert Percents to Decimals. Thus, we need a procedure to follow for consistency. Percents and decimals are very similar forms, so everything you know about decimals carries over when you’re working with percents. katex.render("12\\, \\frac{1}{2}\\% = 12.5\\% = 0.125 = \\dfrac{125}{1000} = \\dfrac{1}{8}", percnt06); Because ½ is a terminating decimal (namely, 0.5), this percentage is simpler to convert than was the previous one. Divide a percent by 100 and remove the percent sign to convert from a percent to a decimal. It works the same as a whole number percentage like 20% when you convert it. By using our site, you agree to our. The ratio will remain the same, but instead of, let us say, 14%, you will write 0.14. Example 1: Write each percent as a decimal… All tip submissions are carefully reviewed before being published, This article was co-authored by our trained team of editors and researchers who validated it for accuracy and comprehensiveness. For 50%, simply drop the % and write “50” on your paper. To change a whole-number percent to a decimal, simply replace the percent sign with a decimal point and then move this decimal point two places to the left; after this, you can drop any trailing zeros. Then 0.4 = katex.render("\\frac{4}{10} = \\frac{2}{5}", typed06);4/10 = 2/5, which is the same answer as before. This percentage had three digits, so moving the decimal point two places to the left still left a digit on the other side of the decimal point. In order to convert percent to decimal number, the percentage should be divided by 100: 1% = 1 / 100 = 0.01. Working with percentages and decimals is common for calculations that deal with money, but percentages are found everywhere, including nutrition and clothing labels. Sample questions . Converting From Percent to Decimal. In this case, just drop the percent sign and move the decimal point two places to the left. The second way is to multiply the numerator of that fraction with 100 and to divide that number by the denominator. Convert between Decimals and Percents Song Here's how you represent a decimal as a percent. (The exception to this was 7% for which we needed to add in a zero in order to make the conversion.) Input the percent value that you would like to convert to a decimal. Then click the button to compare your answer to Mathway's. It is very easy to convert percents into decimals, as well as fractions. Sometimes a percent already has a decimal point. All the percentage between 0 and 100% becomes a value between 0 and 1. Next, note that the decimal point is to the right of the "0." This is what required the decimal to have three decimal places. All you have to do is to multiply the decimal number with 100. → 2.5. move the decimal point 2 places to the left. Here are a few common conversions between percents and decimals: 100% = 1: 75% = 0.75: 50% = 0.5: 25% = 0.25: 20% = 0.2: 10% = 0.1: Sometimes a percent already has a decimal point. It is same as shifting decimal point two places to the right. → 25. To help you avoid that fate, we prepared a little tutorial for you, as well as some worksheets you can use for practice. Using the same example, you would move the decimal point in 50.0 to get 0.50. https://sciencing.com/divide-percent-using-calculator-7588458.html, https://www2.le.ac.uk/offices/ld/resources/numerical-data/percentages, https://www.thebalance.com/convert-percentages-and-decimals-315231, consider supporting our work with a contribution to wikiHow. wikiHow's Content Management Team carefully monitors the work from our editorial staff to ensure that each article is backed by trusted research and meets our high quality standards. For more help, including how to use money to think about converting percentages to decimals, read on! For example, if your starting value is 50%, you simply drop the percentage symbol. wikiHow's. (Or skip the widget and continue with the lesson.). Now, professors and teacher can reduce cheating by selecting printable exams to the individual students. In any case, the result will be the same. This article was co-authored by our trained team of editors and researchers who validated it for accuracy and comprehensiveness.

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