Percentage Decrease Calculator

How to use Percentage Decrease Calculator

Enter ✎ value for Initial Value $(initial)$.
Enter ✎ value for Final Value $(final)$.
The result appears beneath the inputs as you enter values.

About this calculation

Online Percentage Decrease calculator allows you to determine the percentage decrease from an initial value to a final value. Enter the initial and final values in the input fields, and the answer is calculated as a percentage.

More about Percentage Decrease

Calculating Percentage Decrease

Percentage decrease is a calculation that measures the extent of reduction from an initial value to a final value, expressed as a percentage. This calculation is commonly used to assess losses, reductions, or declines in various contexts, such as finance, sales, and everyday scenarios.

The formula to calculate the percentage decrease is expressed as:

$ \text{Percentage Decrease} = 100 \times \dfrac{ \text{initial value} - \text{final value} }{ |\text{initial value}| } $

where:

Initial Value represents the starting value before the decrease.
Final Value represents the value after the decrease.

By subtracting the final value from the initial value, dividing by the absolute value of the initial value, and then multiplying by 100, you obtain the percentage decrease.

Examples

The following examples demonstrate how to calculate the percentage decrease from an initial value to a final value using the given formula.

1. A smartphone was originally priced at $1,200 but is now being sold for $900 during a clearance sale. What is the percentage decrease in the price of the smartphone?

Answer

Given:

Initial Value = $1,200 (Original price of the smartphone)
Final Value = $900 (Sale price of the smartphone)

The formula to calculate the percentage decrease is:

$ \text{Percentage Decrease} = 100 \times \dfrac{ \text{Initial Value} - \text{Final Value} }{ |\text{Initial Value}| } $

Substituting the given values into the formula:

$ \text{Percentage Decrease} = 100 \times \dfrac{1200 - 900}{1200} $

Calculate the difference between the initial and final values:

$ \text{Percentage Decrease} = 100 \times \dfrac{300}{1200} $

Simplifying further:

$ \text{Percentage Decrease} = 100 \times 0.25 = 25\% $

Therefore, the smartphone's price decreased by 25%.

2. A company’s annual profit dropped from $500,000 to $400,000 due to market conditions. What is the percentage decrease in the company’s profit?

Answer

Given:

Initial Value = $500,000 (Profit before the drop)
Final Value = $400,000 (Profit after the drop)

The formula to calculate the percentage decrease is:

$ \text{Percentage Decrease} = 100 \times \dfrac{ \text{Initial Value} - \text{Final Value} }{ |\text{Initial Value}| } $

Substituting the given values into the formula:

$ \text{Percentage Decrease} = 100 \times \dfrac{500000 - 400000}{500000} $

Calculate the difference between the initial and final values:

$ \text{Percentage Decrease} = 100 \times \dfrac{100000}{500000} $

Simplifying further:

$ \text{Percentage Decrease} = 100 \times 0.2 = 20\% $

Therefore, the company’s profit decreased by 20%.

3. The population of a city decreased from 150,000 to 120,000 over the past decade due to migration. What is the percentage decrease in the city’s population?

Answer

Given:

Initial Value = 150,000 (Population ten years ago)
Final Value = 120,000 (Current population)

The formula to calculate the percentage decrease is:

$ \text{Percentage Decrease} = 100 \times \dfrac{ \text{Initial Value} - \text{Final Value} }{ |\text{Initial Value}| } $

Substituting the given values into the formula:

$ \text{Percentage Decrease} = 100 \times \dfrac{150000 - 120000}{150000} $

Calculate the difference between the initial and final values:

$ \text{Percentage Decrease} = 100 \times \dfrac{30000}{150000} $

Simplifying further:

$ \text{Percentage Decrease} = 100 \times 0.2 = 20\% $

Therefore, the city’s population decreased by 20% over the decade.

4. A car’s value depreciated from $25,000 to $18,000 over three years. What is the percentage decrease in the car’s value?

Answer

Given:

Initial Value = $25,000 (Car value three years ago)
Final Value = $18,000 (Current car value)

The formula to calculate the percentage decrease is:

$ \text{Percentage Decrease} = 100 \times \dfrac{ \text{Initial Value} - \text{Final Value} }{ |\text{Initial Value}| } $

Substituting the given values into the formula:

$ \text{Percentage Decrease} = 100 \times \dfrac{25000 - 18000}{25000} $

Calculate the difference between the initial and final values:

$ \text{Percentage Decrease} = 100 \times \dfrac{7000}{25000} $

Simplifying further:

$ \text{Percentage Decrease} = 100 \times 0.28 = 28\% $

Therefore, the car’s value decreased by 28% over three years.

Formula

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

Percentage Decrease = $ 100 \times \dfrac{( initial - final )}{ |initial| } $

where

Calculation

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Enter the initial and final values in the input fields, and the answer is calculated as a percentage.", "content": "<h2>Calculating Percentage Decrease</h2>\n<p>Percentage decrease is a calculation that measures the extent of reduction from an initial value to a final value, expressed as a percentage. This calculation is commonly used to assess losses, reductions, or declines in various contexts, such as finance, sales, and everyday scenarios.</p>\n<p>The formula to calculate the percentage decrease is expressed as:</p>\n<p>\$ \\text{Percentage Decrease} = 100 \\times \\dfrac{ \\text{initial value} - \\text{final value} }{ |\\text{initial value}| } \$</p>\n<p>where:</p>\n<ul>\n<li><b>Initial Value</b> represents the starting value before the decrease.</li>\n<li><b>Final Value</b> represents the value after the decrease.</li>\n</ul><p>By subtracting the final value from the initial value, dividing by the absolute value of the initial value, and then multiplying by 100, you obtain the percentage decrease.</p>\n\n<h2>Examples</h2><p>The following examples demonstrate how to calculate the percentage decrease from an initial value to a final value using the given formula.</p><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">1.</span> A smartphone was originally priced at $1,200 but is now being sold for $900 during a clearance sale. What is the percentage decrease in the price of the smartphone?</h3><h4 class=\"answer\">Answer</h4><p>Given:</p><ul><li><b>Initial Value</b> = $1,200 (Original price of the smartphone)</li><li><b>Final Value</b> = $900 (Sale price of the smartphone)</li></ul><p>The formula to calculate the percentage decrease is:</p><p class=\"tabspace\">\$ \\text{Percentage Decrease} = 100 \\times \\dfrac{ \\text{Initial Value} - \\text{Final Value} }{ |\\text{Initial Value}| } \$</p><p>Substituting the given values into the formula:</p><p class=\"tabspace\">\$ \\text{Percentage Decrease} = 100 \\times \\dfrac{1200 - 900}{1200} \$</p><p>Calculate the difference between the initial and final values:</p><p class=\"tabspace\">\$ \\text{Percentage Decrease} = 100 \\times \\dfrac{300}{1200} \$</p><p>Simplifying further:</p><p class=\"tabspace\">\$ \\text{Percentage Decrease} = 100 \\times 0.25 = 25\\% \$</p><p class=\"tabspace answer\">Therefore, the smartphone's price decreased by 25%.</p></div><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">2.</span> A company’s annual profit dropped from $500,000 to $400,000 due to market conditions. What is the percentage decrease in the company’s profit?</h3><h4 class=\"answer\">Answer</h4><p>Given:</p><ul><li><b>Initial Value</b> = $500,000 (Profit before the drop)</li><li><b>Final Value</b> = $400,000 (Profit after the drop)</li></ul><p>The formula to calculate the percentage decrease is:</p><p class=\"tabspace\">\$ \\text{Percentage Decrease} = 100 \\times \\dfrac{ \\text{Initial Value} - \\text{Final Value} }{ |\\text{Initial Value}| } \$</p><p>Substituting the given values into the formula:</p><p class=\"tabspace\">\$ \\text{Percentage Decrease} = 100 \\times \\dfrac{500000 - 400000}{500000} \$</p><p>Calculate the difference between the initial and final values:</p><p class=\"tabspace\">\$ \\text{Percentage Decrease} = 100 \\times \\dfrac{100000}{500000} \$</p><p>Simplifying further:</p><p class=\"tabspace\">\$ \\text{Percentage Decrease} = 100 \\times 0.2 = 20\\% \$</p><p class=\"tabspace answer\">Therefore, the company’s profit decreased by 20%.</p></div><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">3.</span> The population of a city decreased from 150,000 to 120,000 over the past decade due to migration. What is the percentage decrease in the city’s population?</h3><h4 class=\"answer\">Answer</h4><p>Given:</p><ul><li><b>Initial Value</b> = 150,000 (Population ten years ago)</li><li><b>Final Value</b> = 120,000 (Current population)</li></ul><p>The formula to calculate the percentage decrease is:</p><p class=\"tabspace\">\$ \\text{Percentage Decrease} = 100 \\times \\dfrac{ \\text{Initial Value} - \\text{Final Value} }{ |\\text{Initial Value}| } \$</p><p>Substituting the given values into the formula:</p><p class=\"tabspace\">\$ \\text{Percentage Decrease} = 100 \\times \\dfrac{150000 - 120000}{150000} \$</p><p>Calculate the difference between the initial and final values:</p><p class=\"tabspace\">\$ \\text{Percentage Decrease} = 100 \\times \\dfrac{30000}{150000} \$</p><p>Simplifying further:</p><p class=\"tabspace\">\$ \\text{Percentage Decrease} = 100 \\times 0.2 = 20\\% \$</p><p class=\"tabspace answer\">Therefore, the city’s population decreased by 20% over the decade.</p></div><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">4.</span> A car’s value depreciated from $25,000 to $18,000 over three years. What is the percentage decrease in the car’s value?</h3><h4 class=\"answer\">Answer</h4><p>Given:</p><ul><li><b>Initial Value</b> = $25,000 (Car value three years ago)</li><li><b>Final Value</b> = $18,000 (Current car value)</li></ul><p>The formula to calculate the percentage decrease is:</p><p class=\"tabspace\">\$ \\text{Percentage Decrease} = 100 \\times \\dfrac{ \\text{Initial Value} - \\text{Final Value} }{ |\\text{Initial Value}| } \$</p><p>Substituting the given values into the formula:</p><p class=\"tabspace\">\$ \\text{Percentage Decrease} = 100 \\times \\dfrac{25000 - 18000}{25000} \$</p><p>Calculate the difference between the initial and final values:</p><p class=\"tabspace\">\$ \\text{Percentage Decrease} = 100 \\times \\dfrac{7000}{25000} \$</p><p>Simplifying further:</p><p class=\"tabspace\">\$ \\text{Percentage Decrease} = 100 \\times 0.28 = 28\\% \$</p><p class=\"tabspace answer\">Therefore, the car’s value decreased by 28% over three years.</p></div>" }