Percentage (%)

Percentage is per-cent which means parts per hundred.

One percent is equal to 1/100 fraction:

1% = 1/100 = 0.01

Ten percent is equal to 10/100 fraction:

10% = 10/100 = 0.1

Fifty percent is equal to 50/100 fraction:

50% = 50/100 = 0.5

One hundred percent is equal to 100/100 fraction:

100% = 100/100 = 1

One hundred and ten percent is equal to 110/100 fraction:

110% = 110/100 = 1.1

Percent sign

The percent sign is the symbol: %

It is written to the right side of the number: 50%

Percentage Definition

Percentage is a value that represents the proportion of one number to another number.

1 percent represents 1/100 fraction.

100 percent (100%) of a number is the same number:

100% × 80 = 100/100×80 = 80

50 percent (50%) of a number is half of the number:

50% × 80 = 50/100×80 = 40

So 40 is 50% of 80.

Percentage of a Value Calculation

x% of y is calculated by the formula:

percentage value = x% × y = (x/100) × y


Find 40% of 200.

40% × 200 = (40 / 100) × 200 = 80

Percentage Calculation

The percentage of x from y, is calculated by the formula:

percentage = (x / y) × 100%


The percentage of 30 out of 60.

(30 / 60) × 100% = 50%

Percentage Change (increase/decrease)

Percentage change from x1 to x2 is calculated by the formula:

percentage change = 100% × (x2 - x1) / x1

When the result is positive, we have percentage growth or increase.


Percentage change from 60 to 80 (increase).

100% × (80 - 60) / 60 = 33.33%

When the result is negative, we have percentage decrease.


Percentage change from 80 to 60 (decrease).

100% × (60 - 80) / 80 = -25%

Discount Calculator

When do we use percentages the most? They are great for expressing sales, because they tell us how much money do we get off the original price. More specifically – percentages show a share of the price, that we won't have to pay. So we know, how convenient or inconvenient the offer is and how much money it will save us. That's why it's so important to understand sale price calculations.

How to calculate discount and sale price?

Just follow these few simple steps:

  1. Find the original price (for example $90)
  2. Get the the discount percentage (for example 20%)
  3. Calculate the savings: 20% of $90 = $18
  4. Subtract the savings from the original price to get the sale price: $90 - $18 = $72
  5. You're all set!

Discount formula

The formula for discount is exactly the same as the percentage decrease formula:

discounted_price = original_price - (original_price * discount / 100)

Other considerations

Depending on your needs, our sale price calculator goes well with our double and triple discount calculators. The commission calculator works the other way around - it determines the salesman's bonus for selling a product. Finally, the percent off calculator does... the same thing, but some people use different wording and are more likely to find it this way.

What are the types of discount?

There are three most common types of discounts:

  • Quantity discounts - where you receive a discount based on the number of units you purchase. Thank you economies of scale!
  • Trade discounts - discounts provided by a supplier to distributors. This discount allows distributors to varytheir own prices, so that all items can be sold.
  • Promotional discounts - these are a useful sale promotion technique, these are the most common discount for consumers. You've surely seen one in the form of 20% off sale, or a buy one get one free offer.

How do I calculate discount percentage?

To calculate the percentage discount between two prices, follow these steps:

  1. Subtract the post-discount price from the pre-discount price.
  2. Divide this new number by the pre-discount price.
  3. Multiply the resultant number by 100.
  4. Be proud of your mathematical abilities.

How do I calculate a 10% discount?

  1. Take the original price.
  2. Divide the original price by 100 and times it by 10.
  3. Alternatively, move the decimal one place to the left.
  4. Minus this new number from the original one.
  5. This will give you the discounted value.
  6. Spend the money you've saved!

How do I take 20 % off a price?

  1. Take the original price.
  2. Divide the original price by 5.
  3. Alternatively, divide the original price by 100 and multiply it by 20.
  4. Subtract this new number from the original one.
  5. The number you calculated is the discounted value.
  6. Enjoy your savings!

How do I calculate 30 percent off?

  1. Take the pre-sale price.
  2. Divide the original price by 100 and multiply it by 30.
  3. Take this new number away from the original one.
  4. The new number is your discounted value.
  5. Laugh at how much money you're saving!

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