Percentage Calculator
A versatile tool to perform various percentage calculations, such as finding a percentage of a number, calculating percentage change, or determining what percent one number is of another.
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A Practical Guide to Percentage Calculations
Percentages are a fundamental part of everyday life, used in everything from calculating discounts at a store to understanding statistics in the news. This calculator provides a simple way to solve various percentage-related problems. This article will break down the three main types of percentage calculations this tool can perform.
1. Finding a Percentage of a Number
This is the most common percentage calculation. It answers the question: "What is X% of Y?"
The formula is straightforward. First, convert the percentage to a decimal by dividing it by 100. Then, multiply the decimal by the total number.
Percentage of Number = (Percentage / 100) * Total Number
Example: What is 20% of 150?
Calculation: (20 / 100) * 150 = 0.20 * 150 = 30
So, 20% of 150 is 30.
2. Calculating What Percentage One Number is of Another
This calculation answers the question: "X is what percentage of Y?" It's useful for determining proportions, like figuring out what percentage of your monthly budget goes to rent.
The formula involves dividing the "part" (X) by the "whole" (Y) and then multiplying the result by 100 to express it as a percentage.
Percentage = (Part / Whole) * 100
Example: 15 is what percentage of 60?
Calculation: (15 / 60) * 100 = 0.25 * 100 = 25%
So, 15 is 25% of 60.
3. Calculating Percentage Change (Increase or Decrease)
This calculation is used to determine how much a value has changed over time. It answers questions like: "What is the percentage increase from 50 to 75?"
The formula finds the difference between the new and old values, divides it by the original value, and then multiplies by 100.
Percentage Change = ((New Value - Old Value) / Old Value) * 100
Example: What is the percentage increase from 200 to 250?
Calculation: ((250 - 200) / 200) * 100 = (50 / 200) * 100 = 0.25 * 100 = 25%
This represents a 25% increase. A negative result would indicate a percentage decrease.
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