Percent Decrease Formula

About Percent Decrease Formula

When a value is dropped over time, the percentage change in the value is referred to as a percentage reduction. For instance, a drop in rainfall, a drop in the number of infections, etc. The percent decrease formula can be used to determine the percent decrease. The percent drop formula will be discussed in this section.

What is the percent decrease formula?

The percent decline formula calculates the amount reduction in relation to its initial value. To compute the percentage drop, we must first determine the difference in the data. Then multiply the difference by 100 and divide by the initial value.

Percent Decrease = $\left[\right(\frac{Old Value -New Value}{Old Value})\times 100]$ is the formula for percent decrease.

Percent Decrease Formula

Using the percent decline formula, there are two simple steps to compute the percent decrease:

1. Determine the difference in the numbers, i.e., Decrease = Old value - New value.
2. Multiply the decrease by 100 and divide by the former value.

Examples using the percent decrease formula

Example 1: The number 53 is written as 35 by mistake. Find the percent decrease.

Solution: Here, final value = 35 and initial value = 53

From the percent decrease formula, we have

Percent Decrease = $\left[\right(\frac{Initial Value - Final Value}{Initial Value})\times 100]$

• = [(53 - 35)/53] × 100
• = 18/53 × 100
• = 33.9%

Example 2: An article with CP 250 was sold for 230. Find the decrease inthe percentageof the price of the article using the percent decrease formula.

Solution: Here, final value = 230 and initial value = 250

• Using the Percent decrease formula, we get
• Percent Decrease = $\left[\right(\frac{Initial Value - Final Value}{Initial Value})\times 100]$
• = [(250 - 230)/250] × 100
• = 20/250 × 100
• = 8%

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