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Percentage Calculator

Calculate what X% of Y is, find percentage proportions, and calculate percentage differences.

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Percentage Calculations

1. Calculate Percentage Value
What is
%
of?
Formula: (15 ÷ 100) × 200
30
2. Find Percentage Share
is what percentage of?
Formula: (40 ÷ 200) × 100
20%
3. Percentage Difference & Change
Fromto
Difference: +25
+25% (increase)

What this tool does

This Percentage Calculator solves the three most common percentage problems: finding a percentage of a number, finding what percentage one number is of another, and calculating the percentage change between two values.

How to use this tool

  1. Select the percentage problem type you wish to solve.
  2. Enter the values into the respective input fields.
  3. The exact calculated result and step-by-step solution appear instantly.

Percentage Formulas

X% of Y = (X / 100) × Y
X is what % of Y = (X / Y) × 100
% Change = ((New - Old) / |Old|) × 100

Percentages represent parts per 100. When calculating percentage change, the formula divides the difference by the original absolute value to determine relative increase or decrease.

Practical Examples

Sales Tax Calculation

Calculating 8.25% sales tax on a $120 item.

Input: 8.25% of 120
Output: $9.90 (Total: $129.90)

Exam Score Percentage

Scoring 46 marks out of a total 50.

Input: 46 out of 50
Output: 92.0%
Important Note: Division by zero is mathematically undefined and will indicate an invalid denominator.

Frequently Asked Questions

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