Percentage Calculator

Master the alchemy of proportions. Mix and balance ratios through percentage transformations, discovering the perfect balance between parts and wholes.

What is X% of Y?

of

Enter values and click "Calculate" to see results

Percentage Formulas

Percentage of

Result = (Percentage / 100) × Number

Example: 25% of 200 = (25/100) × 200 = 50

Percentage Change

Change = ((New - Original) / Original) × 100

Example: (125-100)/100 × 100 = 25%

Percentage Increase

Result = Base × (1 + Percentage/100)

Example: 100 + 20% = 100 × 1.2 = 120

How to Use the Percentage Calculator

1

Choose Your Alchemical Formula

Select the proportion transformation ritual you wish to perform in your alchemical laboratory.

2

Measure Your Ingredients

Add the precise quantities of your alchemical components to the mixing vessel.

3

Witness the Transmutation

Observe the perfect balance emerge from your proportion alchemy with detailed transformation steps.

What is a Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%". For example, 45% (read as "forty-five percent") is equal to 45/100, or 0.45.

Percentages are widely used in mathematics, science, and everyday life to express how a part relates to a whole. The word comes from the Latin per centum, meaning "by the hundred".

Common Uses of Percentages

Discounts & Sales

Calculating how much you save during a sale (e.g., "30% off").

Finance & Interest

Understanding interest rates on loans, mortgages, and savings accounts.

Tips & Taxes

Determining a tip at a restaurant or calculating sales tax.

Statistics

Expressing polls, surveys, and probability (e.g., "50% chance of rain").

Mental Math Tips for Percentages

Calculate common percentages quickly in your head with these tricks:

  • 50% Divide by 2. (e.g., 50% of 80 is 40)
  • 25% Divide by 4, or divide by 2 twice. (e.g., 25% of 80 is 20)
  • 10% Move the decimal point one place to the left. (e.g., 10% of 80 is 8)
  • 1% Move the decimal point two places to the left. (e.g., 1% of 80 is 0.8)
  • 15% Find 10%, then add half of that (5%). (e.g., 10% of 80 is 8, 5% is 4. Total = 12)

Frequently Asked Questions

How do I calculate percentage changes?

Subtract the original value from the new value, divide the result by the original value, and multiply by 100. Use our "Percentage Change" tab to do this automatically.

Is a percentage the same as a percentile?

No. A percentage is a fraction of 100. A percentile is a comparison score that tells you what percent of other scores are lower than yours.

Can a percentage be greater than 100?

Yes! For example, if a price increases from $10 to $30, it has increased by 200%. This means the new price is 300% of the old price.