Calculating Percentage Decrease: Methodologies

To calculate the percentage decrease, you can use the following formula:

$\text{Percentage Decrease} = \left( \frac{\text{Original Value} - \text{New Value}}{\text{Original Value}} \right) \times 100$Percentage Decrease=(Original ValueOriginal Value−New Value​)×100

Here's a step-by-step guide on how to use the formula:

1. Identify the Original and New Values:

   • The "Original Value" is the initial quantity or amount.
   • The "New Value" is the quantity or amount after the decrease.

2. Subtract the New Value from the Original Value:

   • Subtract the New Value from the Original Value.

3. Divide the Result by the Original Value:

   • Divide the result from step 2 by the Original Value.

4. Multiply by 100:

   • Multiply the result from step 3 by 100 to express the decrease as a percentage.

Here's the formula in a concise form:

$\text{Percentage Decrease} = \left( \frac{\text{Original Value} - \text{New Value}}{\text{Original Value}} \right) \times 100$Percentage Decrease=(Original ValueOriginal Value−New Value​)×100

Let's illustrate this with an example:

Suppose the original price of an item was $200, and now it has been reduced to $150. To calculate the percentage decrease:

$\text{Percentage Decrease} = \left( \frac{200 - 150}{200} \right) \times 100$Percentage Decrease=(200200−150​)×100

$\text{Percentage Decrease} = \left( \frac{50}{200} \right) \times 100$Percentage Decrease=(20050​)×100

$\text{Percentage Decrease} = 0.25 \times 100$Percentage Decrease=0.25×100

$\text{Percentage Decrease} = 25\%$Percentage Decrease=25%

Therefore, the item has experienced a 25% decrease in price.