How To Calculate Percentage
When you’re working with numbers, there’s one calculation that you’re going to use more than any other: percentage.
Whether you’re figuring out your commission, your discounts, or just trying to make sure you’re not getting ripped off, percentage calculation is key. But it can also be tricky—especially if you’re used to doing things the long way.
Thankfully, there’s a shortcut. And in this article, we’re going to teach you how to use it. We’ll cover the basics of percentage calculation, and then we’ll show you how to do it in your head, so you can save yourself some time (and maybe some embarrassment) in crunch time.
When it comes to percentages, it’s all about understanding the base number and the percentage itself. For example, if you’re asked to find 25% of a number, that’s actually the same as finding 1/4 of the number. To find this, divide the number by 4 and then multiply by 100 to get the percentage.
This basic principle can be used for any percentage question. Just remember that the base number is always what’s being divided by 100 to get the percentage. So if you’re ever stuck on a question, take a moment to break it down into these basic steps and you’ll be able to work your way through it in no time.
To calculate a percentage, divide the number you want to calculate by the total number, then multiply that answer by 100. In simpler terms:
Number you want to calculate / Total number = Percentage
For example, if you wanted to calculate 20% of 50, you would divide 20 by 50 to get 0.4. Then, 0.4 multiplied by 100 equals 40. So, 20% of 50 is 40.
Calculating Percent Change
When you’re trying to calculate the percentage of a number, it’s important to use the right equation. In order to find the percentage change, you’ll need to use this equation:
(New Value – Old Value) ÷ Old Value × 100
This equation will help you find the difference between the two numbers, expressed as a percentage. So, if you have a value of 100 and you want to find the percentage increase from that number, you would use this equation: (120-100) ÷ 100 × 100. This would result in a 20% increase.
Converting Fraction to Percentage
Converting fraction to percentage is actually easier than what it sounds. Just multiply the numerator (top number) with 100 and divide it by the denominator (bottom number). This will give you the percentage of the fraction.
For example, let’s say you have this fraction: 5/10. To change this fraction to a percentage, you would multiply 5 with 100 and divide it by 10. The result is 50%.
So, if you want to quickly calculate the percentage of anything—like a sale price reduction or your exam score—just remember this simple formula: [Numerator] x 100/ [Denominator] = [Percentage].
Using Proportional Reasoning to Calculate Percentage
Proportional reasoning is a helpful way to calculate percentage in your head quickly and accurately. Proportional reasoning involves setting up a ratio (or proportion) between two numbers. You can then use algebra or cross multiplication to calculate the answer you’re looking for.
Here’s an example. Let’s say you want to know what 20 percent of 500 is. Using proportional reasoning, you could set up the ratio like this: 20/100 = x/500. This can be rewritten as “20 is to 100 as x is to 500” or simply “20:100::x:500”, where x is the number we need to find.
So, using cross multiplication to solve this equation, you can multiply 100 (the second number in the ratio) by 500 (the fourth number in the ratio), which gives you 50,000. Then, divide 50,000 by 20 (the first number in the ratio). The result is 2,500 — which means that 20 percent of 500 is 2,500!
Using the Visual Method to Calculate Percentage
Now that you know the formula, let’s go over a visual method for calculating percentage. This is a great way to get an accurate understanding of how to calculate percentage quickly. To start, you’ll need an empty pie chart with 100 slices, each representing one percent. For example, if you want to calculate 20%, you’ll need to fill in 20 slices of the pie chart.
Next, you need to determine the total amount of what’s being looked at. For instance, if you are calculating the cost of 12 items that each cost 5 dollars, your total would be 60 dollars. Then, divide this total by 100 (60/100 = 0.6).
Finally, multiply the result by the percentage that you determined earlier (in this case it is 20%). So 20% of 60 would be 12 (0.6 x 20 = 12). Ta-da! You’ve just calculated percentage quickly and accurately using the visual method!
In short, if you’re ever in a bind and need to calculate a percentage quickly and accurately, these tips will help you out. Just remember to use a calculator if the percentage is particularly complex, and to double-check your work for accuracy!