Percentage Calculator

Quick Answer

15% of 200 is 30. To calculate: multiply 200 by 15, then divide by 100. For the reverse, 30 is 15% of 200 because (30/200) × 100 = 15%.

What is X% of Y?

Percent (%)

Value

X is what % of Y?

Part

Whole

Percentage Change

From (Original)

To (New)

Original Value Before X% Change

Final Value

Percent Change (%)

Direction

Add or Subtract a Percentage

Value

Percent (%)

Operation

Common Examples

Input	Result
What is 15% of 200?	30
What is 8.5% of 1,000?	85
30 is what % of 200?	15%
What is the % change from 75 to 90?	20% increase

How It Works

X% of Y = (X / 100) x Y

X is what % of Y = (X / Y) x 100

Percentage Change = ((New - Old) /

Old

) x 100

Original Value (before X% increase): Original = Final / (1 + X/100)

Original Value (before X% decrease): Original = Final / (1 - X/100)

Add a Percentage: Result = Value x (1 + Percent/100)

Subtract a Percentage: Result = Value x (1 - Percent/100)

Worked Example

To find 15% of 200: convert the percentage to a decimal (15/100 = 0.15), then multiply: 0.15 × 200 = 30. To find what percent 30 is of 200: divide 30 by 200 to get 0.15, then multiply by 100 to get 15%. For percentage change from 200 to 230: (230 - 200) / 200 × 100 = 15% increase.

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Frequently Asked Questions

What is the difference between percentage and percent?

They mean the same thing. 'Percent' comes from the Latin 'per centum' meaning 'per hundred.' 'Percentage' is the noun form used to describe the result. Both refer to a ratio expressed as a fraction of 100.

How do I calculate a percentage of a number?

Multiply the number by the percentage divided by 100. For example, 15% of 200 is (15/100) x 200 = 30.

Can percentages be greater than 100?

Yes. A percentage over 100% means the value exceeds the reference amount. For example, if a stock goes from $50 to $150, that is a 200% increase.

How do I find the original price before a discount?

Divide the current price by (1 - discount/100). For example, if an item costs $75 after a 25% discount, the original price was $75 / (1 - 0.25) = $75 / 0.75 = $100.