Calculate percentages, percentage increase, decrease, and percentage of a number
A percentage is a number or ratio expressed as a fraction of 100. It is denoted using the percent sign, "%". For example, 45% is equal to the fraction 45/100, or the decimal 0.45.
Percentages are used to express how large or small one quantity is relative to another quantity. They are widely used in daily life, such as in calculating discounts, interest rates, probability, and statistics.
Here are the formulas used for the different calculations in this tool:
To find the percentage of a number, multiply the number by the percentage fraction.
Formula: Result = (Percentage / 100) × Number
Example: What is 20% of 150?
To find the percentage increase between two values, find the difference between the new value and the original value, divide it by the original value, and multiply by 100.
Formula: ((New Value - Original Value) / Original Value) × 100
To find the percentage decrease between two values, find the difference between the original value and the new value, divide it by the original value, and multiply by 100.
Formula: ((Original Value - New Value) / Original Value) × 100
This tool is divided into three sections for your convenience:
The word "percent" comes from the Latin "per centum," which means "by the hundred."
Yes, percentages can be greater than 100%. For example, 200% of a number means it is twice the size of the original number.
To convert a decimal to a percentage, simply multiply the decimal by 100 and add the "%" sign. For example, 0.75 × 100 = 75%.