Percentage Calculator

A percentage calculator helps you quickly find the percentage of a number, calculate percentage increases or decreases, and determine what percentage one number is of another. It simplifies everyday math tasks such as calculating discounts, tips, grades, or financial percentages by applying the basic formula: (part ÷ whole) × 100. This tool provides accurate results and saves time for students, professionals, and anyone working with percentages.

About the Percentage Calculator

Our percentage calculator offers three essential calculation types to help you work with percentages in various contexts. Whether you need to find a percentage of a number, determine what percentage one number is of another, or calculate percentage changes between values, our tool provides accurate results instantly.

What is Percentage?

A percentage is a number expressed as a fraction of 100. The word comes from the Latin "per centum," meaning "by the hundred." Percentages provide a standardized way to express proportions, making it easier to compare relative values. For example, 50% means 50 out of 100, or half of the total.

Mathematically, a percentage can be expressed as a decimal by dividing by 100. For instance, 75% equals 0.75 in decimal form. This conversion is essential for many calculations involving percentages.

How Do You Calculate a Percentage?

Finding a percentage of a number: To calculate X% of Y, multiply Y by (X/100). For example, to find 25% of 80, calculate 80 x (25/100) = 80 x 0.25 = 20.

Finding what percentage X is of Y: Divide X by Y, then multiply by 100. For example, to find what percentage 15 is of 60, calculate (15/60) x 100 = 0.25 x 100 = 25%.

Calculating percentage change: Subtract the initial value from the final value, divide by the initial value, then multiply by 100. For example, if a price increases from $80 to $100, the percentage increase is [(100-80)/80] x 100 = (20/80) x 100 = 25%.

Why Percentages Matter?

Universal Communication: Percentages provide a standardized way to express proportions, making comparisons easier across different contexts and scales.

Financial Applications: From calculating discounts and taxes to understanding investment returns and interest rates, percentages are fundamental to financial literacy.

Data Analysis: Percentages help in analyzing trends, distributions, and proportional relationships in data, making them essential for statistics and data science.

Everyday Decision Making: Understanding percentages helps in making informed decisions about budgeting, comparing prices, evaluating changes over time, and many other daily activities.