Percentage Calculators
Easily calculate percentages, percentage changes, markups, discounts, and more with our collection of free online percentage calculators. Understand the concepts behind the calculations with clear explanations.
Available Percentage Calculators
Tools to help you solve various percentage-related problems quickly and accurately.
Understanding Percentages
Percentages are a fundamental concept in mathematics used to express a number as a fraction of 100. They are widely used in everyday life, from calculating discounts and tips to understanding statistics and financial reports. The word "percent" comes from the Latin "per centum," meaning "by the hundred."
Key Percentage Concepts
- Calculating a Percentage: To find what percentage one number (part) is of another number (whole), use the formula: (Part / Whole) * 100 = Percentage.
- Finding a Percentage of a Number: To find a specific percentage of a number, convert the percentage to a decimal (divide by 100) and multiply by the number: (Percentage / 100) * Number = Result.
- Percentage Change: To calculate the percentage increase or decrease between two values (old and new), use the formula: ((New Value - Old Value) / Old Value) * 100 = Percentage Change.
- Discounts and Markups: Percentages are commonly used to calculate price adjustments. A discount reduces the price, while a markup increases it.
Tips for Working with Percentages
- Always identify the "whole" or the base amount when calculating percentages.
- Convert percentages to decimals or fractions before performing calculations.
- Double-check whether you are calculating a percentage of a number, the percentage itself, or the base number.
- Understand the context – a 10% increase followed by a 10% decrease does not return to the original value.
Our percentage calculators simplify these calculations and provide clear results for various scenarios, helping you apply percentage concepts accurately.