Percentage Calculator

Written by:
PK

Below is a percentage calculator that handles the six most common percentage problems. Find the percentage of a number, figure out what percent one number is of another, calculate percent change between values, apply discounts, compute percent error for lab work, and even find a percentage of a percentage.

Percentage calculator

Using the percentage calculator

Select a calculation type using the buttons at the top, enter your numbers, and see results instantly. The tool updates as you type - no need to click a calculate button.

% of Number (default)

The most common percentage question: What is X% of Y? Enter a percentage and a number, and the tool multiplies them for you. Use this for tips, tax calculations, or finding any fraction of a total.

Example: What is 15% of 200? Answer: 30

What %?

The reverse question: X is what percent of Y? Enter a part and a whole, and the tool calculates the percentage. Perfect for test scores, completion rates, or understanding proportions.

Example: 45 is what percent of 180? Answer: 25%

% Change

Calculate the percent increase or decrease between two values. Enter a starting value and a final value, and the tool shows the percentage change with a directional indicator (↑ increase or ↓ decrease).

Example: From 100 to 125 is a 25% increase

For more specialized needs, see our dedicated Percent Change Calculator, Percent Increase Calculator, or Percent Decrease Calculator.

% Off

The shopping discount mode. Enter an original price and a discount percentage, and the tool shows the final price after the discount plus how much you save. Works for any sale, coupon, or markdown.

Example: $100 at 20% off = $80 (you save $20)

% Error

For science labs and quality control. Enter your measured value and the actual (or expected) value, and the tool calculates the percent error - how far off your measurement was as a percentage of the true value.

Example: Measured 105 when actual was 100 = 5% error

% of %

A less common but sometimes confusing calculation: What is X% of Y%? This converts the first percentage to a decimal and multiplies by the second percentage. Useful for compound discounts, probability, and multi-step percentage problems.

Example: 25% of 80% = 20%

We also have a dedicated Percentage of Percentage Calculator if you need more detail on this calculation.

The percentage formula

A percentage is a fraction of 100. The word itself comes from Latin per centum, or "by the hundred."

\text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100

To find a percentage of a number, convert the percentage to a decimal (divide by 100) and multiply:

15\% \text{ of } 200 = \frac{15}{100} \times 200 = 0.15 \times 200 = 30

Percent change uses a similar approach - find the difference, then divide by the original:

\text{Percent Change} = \frac{\text{New Value} - \text{Original Value}}{\text{Original Value}} \times 100

And percent error measures accuracy - the absolute difference divided by the actual value:

\text{Percent Error} = \frac{|\text{Measured} - \text{Actual}|}{|\text{Actual}|} \times 100

For more specialized percentage and fraction conversions:

      

PK

PK started DQYDJ in 2009 to research and discuss finance and investing and help answer financial questions. He's expanded DQYDJ to build visualizations, calculators, and interactive tools.

PK lives in New Hampshire with his wife, kids, and dog.

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