How to Calculate the Percentage in Mathematics

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Calculating the percentage in mathematics involves setting up your information in the form of a pretty basic division problem. Calculate the percentage in mathematics with help from a mathematics educator with over a decade of experience in this free video clip.

Part of the Video Series: Math Teacher Tips
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Video Transcript

Hi, I'm Jimmy Chang, and we're here to talk about how to calculate the percentage in mathematics. Now, there's one strategy that you want to use for sure, and then the last steps is really kind of up to you as to how you want to do it. There's a couple of things to think about. But let's convert a number to a percentage, and you'll see how this process works. Now, for example, if you want to convert one-fourth to a percentage, one easy way to do it is, what number is it out of a hundred? Because when it comes to percentages, we think about hundred percent, fifty percent, but one thing is think about what is it out of a hundred? So, you want to think about four times what number is going to give you a hundred? Well, four times twenty-five is going to be a hundred. But, as you know, to convert it to an equivalent fraction, if you multiply the bottom by a number, you have to multiply the top by a number, as well. So, one times twenty-five, that's going to give you twenty-five over a hundred. Now, you can think of it as, immediately, any number over a hundred can be thought of as that number percent, or you can think of that as point two five. And you can either multiply by a hundred to get twenty-five percent, or you can shift the decimal two places to the right, and that'll also give you twenty-five percent. Now, you may think to yourself what happens if you have a fraction that's not multiply evenly into a hundred? Well, that's where long division is going to be very important. Just go ahead and divide the numerator by the denominator, put the decimal where they need to be, and then either multiply by a hundred, or shift the decimal places two places to the right, and you'll have the corresponding percentage. So, I'm Jimmy Chang, and those are some tips on how to calculate percentages in mathematics.


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