# Calculating Percentage Decrease: Methodologies

January 11, 2024 by JoyAnswer.org, Category : Mathematics

How do you calculate a decrease in percentage? A guide demonstrating various methods to calculate percentage decrease, aiding in numerical analysis and financial calculations.

## How do you calculate a decrease in percentage?

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

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

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:

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

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:

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

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

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

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

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

## How do you compute a percentage decrease?

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 ValueNew 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 ValueNew 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=(200200150)×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.

Tags Percentage Decrease , Calculation Methods

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Mathematics