Percentage Calculator: Enter two values below, and with a click of the “Result” button, obtain the third value
Percentage Calculator
Percentage Calculator in Common Phrases
Enter two values below and click the “Calculate” button to get the third value.
Percentage Difference Calculator
Enter two values below to calculate the percentage difference.
Percentage Change Calculator
Enter the initial value and the final value below to calculate the percentage change.
Table of Contents
What is a Percentage?
In the world of math, a percentage is like a way to compare things out of a total of 100. It’s a handy tool to understand how much of something you have compared to the whole. You might see percentages written with a “%” symbol, or sometimes with the word “percent” or “pct” after the number. For example, if you have 35%, it’s the same as 0.35 as a decimal or 35/100 as a fraction.
How Do We Calculate Percentages?
To find a percentage, you usually take a fraction or ratio and multiply it by 100. For instance, if you have 25 out of 50 students who are male, it means half of the students are male, which is 50%. You get this by multiplying 0.5 (the ratio of males to total students) by 100.
Understanding the Percentage Formula
Calculating percentages often involves an equation with three parts: the percentage itself (P), the original value (V1), and the result after applying the percentage (V2). So if you know two of these values, you can find the third one. For example, if you know that 30 is 5% of a certain value, you can find that value by dividing 30 by 0.05 (to convert 5% to a decimal), which gives you 600.
How to Calculate Percentage Difference
Percentage difference compares two values and tells you how much they differ, relative to their average. You find it by taking the absolute difference between the two numbers, dividing it by the average of the two, and then multiplying by 100 to get the percentage. For example, if you’re comparing 10 and 6, you’d do |10 – 6| / ((10 + 6) / 2) × 100, which equals 50%.
Understanding Percentage Change
Percentage change tells you how much a value has increased or decreased compared to its starting point. You find it by taking the difference between two values, dividing by the starting value, and then multiplying by 100. For instance, if you have 500 and it increases by 10%, you’d calculate it as 500 × (1 + 0.1) = 550. If it decreases by 10%, you’d do 500 × (1 – 0.1) = 450.
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