# Percentage Decrease Calculator

The percentage decrease calculator helps you to determine the change from one amount to a lesser amount based on the percentage decrease.

## How to Calculate Percentage Decrease?

The following steps will enable you to calculate the percentage decrease between the values a and b.

1. Calculate the change between the actual and new value: a – b.
2. Then, divide the difference by the actual value: (a-b) / a.
3. Now, multiply the output by 100 to convert it into percentages.
4. The result taken by this calculation will be a percentage decrease.

## About Duplichecker’s Percentage Decrease Calculator

Duplichecker offers an advanced online percentage decrease calculator that helps users to find the decrease from one value to another value as a percentage of the first value. Users only require entering values in the given boxes and pressing the calculate button. The percent decrease calculator will automatically process the entered values and provide you with an accurate decreasing percentage instantly. Moreover, the percentage decrease calculator is a completely free-to-use calculator. Users can use it and perform unlimited calculations without any restrictions.

## The Percentage Decrease Formula

There are different ways to calculate the percent decrease. However, most methods compute the difference in original value and lesser value by using the following percentage decrease formula:

Percentage Decrease: [(Starting Value−Final Value / Starting Value)] ×100

The following example will assist you in understanding the process of calculating percentage decrease using this formula.

### Example:

A value is decreased from 600 to a new value of 420. Find the percent decrease.

Solution:

Original value: 600

New Value: 420

The formula for finding percent decrease:

Percentage Decrease = [ Original Value - Final Value) / Original Value] × 100

Adding the values in the percent decrease formula:

Percent Decrease = [ 600 - 420) / 600] × 100

= (180/600) x 100

= (0.3) x 100

= 30%

So, the value is decreased by 30% in this example.

## How to Calculate Percentage Decrease in Excel?

Calculating percentage decrease between two numbers in Excel is straightforward.

All you need to do is subtract the final value from the first value and then divide it by the original value.

For instance, if the electricity bill is \$100 in March but is reduced to \$50 in April. Following the mentioned method and use the excel formula =SUM(NEW-OLD)/OLD to calculate the decrease.

Adding the values in the formula, it will become = (50 - 100)/100.

Suppose the bill amount of \$100 is in the B4 cell, and April’s bill of \$50 is in B5. The Excel formula for calculating percentage decrease = SUM(B5-B4)/B4.

The percent decrease will be 50%. Excel will display it as a negative number (0.5) in the next cells. You can get the answer by setting the cell number type to percentage.

To do this, go to the Home > Percentage Styles button. This will change the decimal figure (0.5) to the percentage (-50%).

## Calculate Percent Decrease Using Examples

Below are a few examples that will surely help you strengthen your knowledge and understand the process of calculating the percent decrease appropriately.

### 1.  New vs. Old Price Example

The original price of a pen was \$10. The shopkeeper announced a discount on all items. The new price of the pen is \$6. What is the percent decrease in the pen price?

Solution:

Old Price of Pen: \$10

New Price of Pen: \$6

Apply the values in the percentage decrease formula:

Percentage decrease: [(Old Value - New Value) / Old Value] × 100

= [(10-6)/10] x 100

= [4/10] x 100

= 0.4 x 100

= 40%

So, the percent decrease in the price of pen is 40%.

### 2.  Decrease in Expenses Example

A company incurred expenses of \$50,000 in 2018, while in 2019 the expenses observed were \$38000 for the same duration. What is the decrease in the percentage of expenses?

Solution:

Expenses in 2018: \$50000

Expenses in 2019: \$38000

Apply the values in the percent decrease formula

Percentage decrease = [(Old Value - New Value) / Old Value] × 100

= [(50000-38000)/50000] x 100

= [12000/50000] x 100

= 0.24 x 100

= 24%

So, the percentage decrease in the expenses was 24%.

### 3. Fruit Seller Example

A fruit seller used to sell Oranges for \$20 per dozen. Now, he reduced the price of a dozen oranges by 20%. What is the price of a dozen Oranges now?

Solution:

Old Price: \$20 per dozen

New Price: x

Percent decrease: 20%

Adding the values in the percentage decrease formula

Percentage decrease = [(Old Value - New Value) / Old Value] × 100

20 = [(20 – x)] / 20] x 100

20/100 = (20 – x)] / 20

20 – x = 5

x = 16

So, the decreased price of one dozen oranges is \$16.

### 4. Membership Card Example

A leisure club announced a 10% discount on its membership card that makes the reduced cost of the membership card \$150. Use the percentage decrease formula to calculate the original price of the membership card before its cost is reduced.

Solution:

Suppose, Original cost of the Membership card = x

New Price of the Membership card = \$150

Percentage Decrease = 10%

Adding the values in the percent decrease formula

Percentage decrease = [(Old Value - New Value) / Old Value] × 100

10 = [(x – 150)] / x] x 100

10/100 = (x – 150)] / x

x = 166.7

So, the original value of the membership card was \$166.7.

### 5. Town Population Example

The total population of the town in 2022 was 18,760. Two years’ prior, the population was 20,180. Using the percentage formula, calculate the town’s population over the two-year time frame.

Solution:

Population in 2020: \$20,180

Expenses in 2022: \$18,760

Apply the values in the percent decrease formula

Percentage decrease = [(Old Value - New Value) / Old Value] × 100

= [(20,180-18,760)/ 20,180] x 100

= [1420/20180] x 100

= 0.07 x 100

= 7%

So, the population of the town has decreased to 7%.

### 6. Body Weight Lose Example

The doctor told Jack that he needed to lose 5% of his weight in order to keep his body in a healthy condition. If Sam is currently weighing at 140 pounds, how much weight does he need to maintain to stay healthy?

Solution:

Current Weight: 140 Pounds

Weight: x

Percent decrease: 5%

Adding the values in the percentage decrease formula

Percentage decrease = [(Old Value - New Value) / Old Value] × 100

5 = [(140 – x)] / 140] x 100

5/100 = (140 – x)] / 140

x = 133

So, Jack needs to reduce his weight to 133 Pounds to stay healthy.

### 7. Company’s Sales Example

A company’s sales figures show that it made a gross profit of \$20,240 in its first year of trading. In its second year, gross profit had decreased to \$16,900. What was the company’s drop in profit, defined as a percentage decrease?

Solution:

1st Year Gross Profit: \$20240

2nd Year Gross Profit: \$16900

Adding the values in the percent decrease formula

Percentage decrease = [(Old Value - New Value) / Old Value] × 100

= [(20240 – 16900)] / 20240] x 100

= (3340/20240) x 100

= 0.165 x 100

= 16.5%

So, the company's drop in profit is 16.5%.

## FAQs

### What Is a Percentage Decrease?

Percentage decrease is the subtraction of a given percentage of a quantity from the original quantity. To calculate percent decrease, you need to compute the percent of the value and subtract it from the original value. Alternatively, you can also use the online percentage decrease calculator available on Duplichecker.com to find the decrease in percentage with accurate calculation results.

### How Do You Calculate Percentage Decrease Over Years?

The online percentage decrease calculator lets you find the decrease in the percentage over the years straightaway. Simply enter the values on the facility and press the Calculate button. The utility will provide you with an accurate decrease in percentage instantly.

### How Do You Calculate A 25% Decrease?

Suppose the original price of an item is \$50 and the new price is \$37.5, and you want to calculate the percentage decrease, then simply add these values in the percentage decrease formula.

Percentage decrease = [(Old Value - New Value) / Old Value] × 100

= [(50 – 37.5)] / 50] x 100 => [12.5/50] x 100

= 0.25 x 100 => 25%

So, the percentage decrease is 25%.

### How Do You Find a 3% Decrease of A Number?

Suppose the price of a car is \$874. Company accounted for a 3% decrease in the price as a discount offer. The new price of the car can be found using the following method.

Percentage decrease = [(Old Value - New Value) / Old Value] × 100

Old Price: \$874, New Price: x, Percent decrease: 3%

Using the percentage formula

Percentage decrease = [(Old Value - New Value) / Old Value] × 100

3 = [(874 – x)] / 874] x 100

3/100 = (874 – x)] / 874

x = 847.78

So, the discounted price of the car after a percentage decrease of 3% will be \$847.78.

### What Is the Percentage Decrease from 10000 To 2000?

1st Value: 10000

2nd Value: 2000

Adding the values in the percent decrease formula

Percentage decrease = [(Old Value - New Value) / Old Value] × 100

= [(10000 – 2000)] / 10000] x 100

= (8000/10000) x 100

= 0.8 x 100

= 80%

Percentage Decrease: 80%

### What Is the Percent of Decrease from 8 To 2?

First Value: 8

Second Value: 2

Adding the values in the percentage decrease formula

Percentage decrease = [(Old Value - New Value) / Old Value] × 100

= [(8 – 2)] / 8] x 100

= (6/8) x 100

= 0.75 x 100

= 75%

Percentage Decrease: 75%