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A percentage decrease measures how much a value has reduced relative to its original amount, expressed as a percentage.

Calculating this involves subtracting the final value from the original value, dividing the result by the original value, and then multiplying by 100 to get a percentage.

This calculation helps in understanding the extent of the reduction in various contexts, like sales, population, or other quantities.

## How to Calculate Percentage Decrease

To calculate the percentage decrease in a way that’s easy to understand, follow these steps:

**Identify the Original Value:** This is the starting point or the initial amount before any decrease. For example, if you’re calculating the decrease in sales, this would be the sales number before the decrease.

**Identify the New Value:** This is the amount after the decrease. Continuing the sales example, this would be the sales figure after noticing a drop.

**Subtract the New Value from the Original Value:** This calculation gives you the absolute decrease in value. In mathematical terms: `Decrease = Original Value - New Value`

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**Divide the Decrease by the Original Value:** This step converts the absolute decrease into a relative measure. It shows how large the decrease is in relation to the original value. The formula is: `Relative Decrease = Decrease / Original Value`

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**Convert to Percentage:** To make this relative decrease a percentage, multiply it by 100. The formula is: `Percentage Decrease = (Relative Decrease) x 100`

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**Interpret the Result:** The final number you get is the percentage decrease. It tells you by what percentage the original value has decreased.

### Example:

Imagine a store’s weekly sales dropped from $500 to $400. Here’s how you’d calculate the percentage decrease:

**Original Value (OV):**R500**New Value (NV):**R400**Calculate Decrease:**R500 (OV) – $400 (NV) = $100**Relative Decrease:**R100 / R500 = 0.2**Percentage Decrease:**0.2 x 100 = 20%

This result means that the store’s sales decreased by 20% from the original sales figure.