# Percentage Decrease Calculator

Percentage Decrease Calculator is an online tool that finds the decrease in percentage for a given set of values. When we want to find the percentage decrease of a quantity from the initial value to the final value we use the percentage decrease formula.

## What is the Percentage Decrease Calculator?

Percentage Decrease Calculator helps to determine the percentage change in a quantity when it has decreased over a period of time. Percentage decrease is a special case of the percentage change formula. To use the * percentage decrease calculator*, enter the values in the given input boxes.

### Percentage Decrease Calculator

Note: Enter numbers up to three digits

## How to Use the Percentage Decrease Calculator?

Follow the steps given below to find the percentage decrease using the percentage decrease calculator

**Step 1:**Go to Cuemath's online percentage decrease calculator.**Step 2:**Enter the initial value and the decreased value in the respective input boxes.**Step 3:**Click on the**"Calculate"**button to determine the percentage decrease.**Step 4:**Click on the**"Reset"**button

## How Does Percentage Decrease Calculator Work?

The percent change formula is used to check if there has been a percentage increase or a percentage decrease in the given quantity. If the percentage change results in a positive number, it indicates that the quantity has increased. In such a case the final value is greater than the initial value. However, if the percent change is a negative number, it means that the quantity has decreased over time. The final value is lesser than the initial value in this case. The percentage decrease formula is only used in situations when we know that there has been a depreciation in the value of the quantity. The steps to find the percentage decrease are as follows:

**Step 1:**Subtract the final or decreased value of the quantity from the initial value.**Step 2:**Divide the answer from step 1 by the initial value.**Step 3:**To express this value as a percentage, multiply the result of step 2 by 100.

The Percentage Decrease Formula is given as:

Percentage Decrease = [(Initial value - Final or Decreased Value) / Initial Value] × 100.

## Solved Examples on Percentage Decrease

**Example 1:** There was a new years' discount sale and the price of a dress was decreased from 25 USD to 20 USD. Find the percentage decrease in the price of the dress and verify it using the percentage decrease calculator.

**Solution:**

Initial Price = 25 USD

Reduced Price = 20 USD

Percentage Decrease = [(Initial value - Decreased value) / Initial value] × 100

= [(25 - 20) / 25] × 100

= 5 / 25 × 100

= 20 %

Therefore, the price of the dress decreased by 20 %.

**Example 2:** The price of earrings decreased from 92.5 USD to 78.2 USD during a Black Friday sale. Find the percentage decrease in the price of the earrings and verify it using the percentage decrease calculator.

**Solution:**

Initial Price = 92.5 USD

Reduced Price = 78.2 USD

Percentage Decrease = [(Initial value - Decreased value) / Initial value] × 100

= [(92.5 - 78.2) / 92.5] × 100

= 14.3 / 92.5 × 100

= 15.459 %

Therefore, the price of the earrings decreased by 15.459 %.

Now, try the percentage decrease calculator to find the percentage decrease of the following values.

- Initial price = 500 USD, Decreased price = 420 USD
- Initial weight = 128.7 pounds, Decreased weight = 120.2 pounds

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