Percentage Calculator
Calculate percentages, increases, decreases, and solve percentage problems with step-by-step explanations
Percentage Calculator - Calculate Percentages Easily
Find what percentage one number is of another, or calculate a percentage of a number.
25 is 50% of 50
20% of 150 is 30
Percentage = (Part / Whole) × 100
Value = (Percentage / 100) × Whole
Calculate the percentage increase from one value to another.
Increase from original to new value
Difference between new and original value
Percentage Increase = [(New Value - Original Value) / Original Value] × 100
Calculate the percentage decrease from one value to another.
Decrease from original to new value
Difference between original and new value
Percentage Decrease = [(Original Value - New Value) / Original Value] × 100
Calculate the percentage difference between two values.
Difference between the two values
Difference between the two values
Percentage Difference = [|Value1 - Value2| / ((Value1 + Value2)/2)] × 100
Percentages are a fundamental concept in mathematics and everyday life, representing a proportion out of 100. Whether you're calculating discounts, interest rates, or statistical data, understanding how to work with percentages is essential.
A percentage is a way of expressing a number as a fraction of 100. The term "percent" comes from the Latin "per centum," meaning "by the hundred." It is denoted using the percent sign (%). For example, 45% is equivalent to 45/100 or 0.45.
Percentage calculations are used in various real-world scenarios:
Understanding these basic formulas will help you solve most percentage problems:
How do I calculate a percentage of a number?
To calculate a percentage of a number, multiply the number by the percentage (in decimal form). For example, to find 25% of 80, calculate 80 × 0.25 = 20.
What is the difference between percentage points and percent?
Percentage points refer to the absolute difference between two percentages. For example, if an interest rate increases from 5% to 7%, it has increased by 2 percentage points, or by 40%.
How do I calculate percentage increase?
To calculate percentage increase: [(New Value - Original Value) / Original Value] × 100. For example, if a product's price increases from $50 to $60, the percentage increase is [(60-50)/50] × 100 = 20%.
How do I calculate percentage decrease?
To calculate percentage decrease: [(Original Value - New Value) / Original Value] × 100. For example, if a product's price decreases from $80 to $64, the percentage decrease is [(80-64)/80] × 100 = 20%.
What is the formula for percentage difference?
The percentage difference between two values is calculated as: [|Value1 - Value2| / ((Value1 + Value2)/2)] × 100. This formula finds the relative difference between two numbers compared to their average.