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# Percentage Decrease Calculator

How to calculate percent decrease?Percent decrease formulaWhat is an example of percentage decrease?Other related conceptsFAQs

The percentage decrease calculator determines the change from one amount to a lesser amount in terms of percent decrease. It is important to understand how to calculate the percent decrease manually using the percent decrease formula. The content below will explain these concepts in further detail.

So you must provide an original quantity and a new quantity. The new quantity must be less than the original, or the change will be an increase. The difference between the quantities is computed, which is divided by the original quantity. The result is multiplied by 100. This can also be accomplished using the percentage difference calculator and the percentage change calculator.

## How to calculate percent decrease?

To calculate percentage decrease between the original value a and new value b, follow these steps:

1. Find the difference between the original and new value: a - b.
2. Divide this difference by the absolute value of the original value: (a - b) / |a|.
3. Multiply the result by 100 to convert it into percentages.
4. That's it! As you see, it's not hard at all to calculate percent decrease.

## Percent decrease formula

The instruction we gave above can be summarized in the following math formula for percentage difference:

$\footnotesize \rm \%\ decrease = 100 \times \frac{(initial - final)}{|initial|}$

## What is an example of percentage decrease?

Suppose the original value is 750 and the new value is 590. To compute the percentage decrease, perform the following steps:

1. Compute their difference 750 - 590 = 160.
2. Divide 160 by 750 to get 0.213.
3. Multiply 0.213 by 100 to get 21.3 percent.
The percentage decrease from 100 to 10 is equal to 90%. Indeed, we get: (100 - 10) / 100 = 0.9 and 0.9 × 100% = 90%, as we claimed.
The percentage decrease from 5000 to 1000 is equal to 80%. Indeed, we get: (5000 - 1000) / 5000 = 0.8 and 0.8 × 100% = 80%, as we claimed.