Percentages are a fundamental part of everyday life, from figuring out discounts at the store to understanding statistics. The term "percentage" comes from the Latin "per centum," meaning "by the hundred." Simply put, a percentage is a way to express a number as a fraction of 100. So, 15% is equivalent to 15 out of 100.
Solve Percentage Problems with Ease
Use our online calculator for quick, accurate percentage calculations on any device, anytime.
Calculate Percentages Instantly →Three Common Percentage Problems
Most percentage calculations fall into one of three categories. Let's break them down:
- Finding what percent of a number is: This is like asking, "What is 15% of 200?"
- Finding what percentage one number is of another: This is like asking, "30 is what percent of 150?"
- Calculating percentage change: This involves finding the percentage increase or decrease between two numbers, like going from 80 to 100.
Formulas to Calculate Percentage
While our calculator above makes it super simple, it's helpful to understand the underlying formulas. Here are the key equations:
- Percentage of a Number: (Percentage / 100) * Number
- Percentage One Number is of Another: (Part / Whole) * 100
- Percentage Change: ((New Value - Old Value) / Old Value) * 100
How to Calculate Percentage with Example
Let's walk through each type of problem with an example:
Example 1: What is 15% of 200?
- Apply the formula: (Percentage / 100) * Number
- Plug in the values: (15 / 100) * 200
- Calculate: 0.15 * 200 = 30
- Answer: 15% of 200 is 30.
Example 2: 30 is what percent of 150?
- Apply the formula: (Part / Whole) * 100
- Plug in the values: (30 / 150) * 100
- Calculate: 0.2 * 100 = 20
- Answer: 30 is 20% of 150.
Example 3: What is the percentage increase from 80 to 100?
- Apply the formula: ((New Value - Old Value) / Old Value) * 100
- Plug in the values: ((100 - 80) / 80) * 100
- Calculate: (20 / 80) * 100 = 25
- Answer: The percentage increase from 80 to 100 is 25%.
Real-World Applications
Percentages are everywhere! Here are just a few examples:
- Discounts: A 20% off sale means you pay 80% of the original price.
- Grades: Your test score is often expressed as a percentage.
- Financials: Interest rates, investment returns, and profit margins are all commonly shown as percentages.
- Taxes: Sales tax and income tax are calculated using percentages.
Solve Percentage Problems Instantly!
Why struggle with formulas when you can get instant results? Our percentage calculator is designed to solve these calculations quickly and accurately. Whether you're on your phone or computer, you can easily:
- Find what percent of a number is.
- Figure out what percentage one number is of another.
- Calculate percentage increase or decrease.
Simply enter your numbers, hit 'calculate,' and get your answer right away!