Calculation Modes

What is % of ?
is what % of ?
From to ?
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Fill out any of the calculation modes on the left and click calculate.

Result

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Percentage Calculator: Solve Math Problems Instantly

From calculating sales tax and retail discounts to analyzing business growth and understanding statistics, percentages are a part of daily life. However, remembering the correct formula for different types of percentage problems can be frustrating and prone to errors.

Our free online Percentage Calculator is designed to solve the three most common percentage scenarios instantly. Whether you need to find the percentage of a number, determine what percentage one number is of another, or calculate a percentage increase/decrease, this tool provides the exact answer and shows you the formula used to get it.

How to Use the 3 Calculation Modes

We have broken down complex math into simple, natural-language sentences. Just fill in the blanks on the left side of the screen:

  • Mode 1: Percentage of a Number. "What is X% of Y?" Use this for common daily math like figuring out a 20% tip on a $150 bill.
  • Mode 2: Find Percentage. "X is what % of Y?" Use this to find ratios. For example, if you scored 45 out of 60 on a test, this mode will tell you your exact percentage grade (75%).
  • Mode 3: Percentage Change. "From X to Y is what % change?" Use this for business and finance. If your rent went from $1000 to $1200, this mode will tell you that is a 20% increase.

Practical Examples

  • Retail Shopping: A TV is originally $800, but is on sale for 15% off. Use Mode 1 ("What is 15% of 800?") to find the discount ($120). Subtract that from $800 to get your final price.
  • Sales Tax: You are buying a car for $25,000 and the tax rate is 7%. Use Mode 1 to find the tax amount ($1,750).
  • Stock Market: You bought a stock at $50 and it is now worth $75. Use Mode 3 ("From 50 to 75") to see that your investment increased by 50%.

Frequently Asked Questions (FAQs)

What does "percent" actually mean?
The word "percent" comes from the Latin per centum, which literally translates to "by the hundred." Therefore, 50% simply means 50 per 100, or a half.
How is percentage change calculated?
The formula for percentage change is: ((New Value - Old Value) / |Old Value|) x 100. A positive result indicates an increase, while a negative result indicates a decrease.
Are percentages reversible?
Yes! A fun math trick is that X% of Y is exactly the same as Y% of X. For example, 8% of 50 is the same as 50% of 8. In both cases, the answer is 4.

Solve Your Math Problem

Stop struggling with formulas. Scroll up, fill in the blanks, and let our calculator do the heavy lifting.