Percent Decrease Formula

Percentage in mathematics is studied as the ratio or a number that is expressed as a fraction of 100. It is generally denoted by the symbol (%) and has no units. A percentage is a pure number that is taken as a proportion of the whole part. It can be simply calculated by dividing the number by whole part or portion and multiplying by 100.

The given article is presented to describe the concept of the percentage change. the content briefly describes the percentage decrease and percentage decrease formula. The article also contains some sample problems related to the formula to show the method of calculation.

What is Percentage Change?

Percentage change is the new value that is obtained due to the increase or decrease in the final value obtained with respect to the initial value.

The percentage change is of two types viz. percentage increase in which final value is increased as compared to the initial value. And, the percentage decrease in which the percentage change is calculated by dividing the difference of the value by the old value and multiplying it by 100.

Percentage Decrease Definition

Percentage decrease is the change in the value of percentage in which the value has decreased from the initial in the estimated period of time.

Percentage Decrease Formula

The percentage decrease value is calculated by the percentage decrease formula, and, the value is given in percent.

Percent Decrease = × 100

The percentage decrease formula is the method of calculating the decrease in percentage from its initial value. It refers to the decrease in the value of something with reference to its initial one.

The percentage decrease formula can be derived in the two simple steps.

Step 1: Determine the difference between the values.

Percentage decrease = old value – new value

Step 2: Divide the obtained value by the old value and multiply it by 100. To, obtain the value in percentage.

Percentage decrease = × 100

Hence, the percentage decrease formula is the decreased percent value obtained by dividing the difference of values by the old value and multiplying it by 100.

Percentage Decrease Vs Percentage Increase

Some of the common differences between percentage increase and decrease are:

Aspect	Percentage Decrease	Percentage Increase
Definition	A decrease in value by a certain percentage	An increase in value by a certain percentage
Representation	Negative change	Positive change
Impact on Value	Value declines	Value rises
Direction on a Graph	Downward trend	Upward trend
Interpretation	Indicates decline or deterioration	Indicates growth or improvement
Context	Generally viewed negatively	Generally viewed positively
Example	If a product’s price decreases by 15%, it is a 15% decrease from its original price	If a product’s price increases by 20%, it is a 20% increase from its original price
Calculation Formula	Percentage Decrease = (Original Value − New Value)/Original Value × 100	Percentage Increase =(New Value − Original Value)/Original Value × 100

Check: Percentage Increase Calculator – Free Online Calculator

People Also View:

• Calculating Percentage
• Ratio and Percentage
• Finding the Percentage of a Number

Sample Problems on Percent Decrease Formula

Question 1: What is the percentage decrease from 12000 to 11600?

Solution:

Given:

The old value is 12000.

The new value is 11600

⇒ Percentage decrease = (12000 – 11600/12000) × 100

⇒ Percentage decrease = 3.33%

Hence, the percentage decrease is 3.33%.

Question 2: What is the percentage decrease from 120 to 96?

Solution:

Given:

The old value is 120.

The new value is 96

Percentage decrease =  × 100

⇒ Percentage decrease = (120 – 96/120)  × 100

⇒ Percentage decrease = 20%

Hence, the percentage decrease is 20%.

Question 3: What is the percentage decrease from 50 to 10?

Solution:

Given:

The old value is 50.

The new value is 10

Percentage decrease =  × 100

⇒ Percentage decrease = (50 – 10/50) × 100

⇒ Percentage decrease = 80%

Hence, the percentage decrease is 80%.

Question 4: What is the percentage decrease from 20 to 18?

Solution:

Given:

The old value is 20.

The new value is 18

Percentage decrease =  × 100

⇒ Percentage decrease = (20 – 18/20) × 100

⇒ Percentage decrease = 10%

Hence, the percentage decrease is 10%.

Question 5: What is the percentage decrease from100 and 50?

Solution:

Given:

The old value is 100.

The new value is 50

We have,

Percentage decrease =  × 100

⇒ Percentage decrease = (100 – 50/100) × 100

⇒ Percentage decrease = 50%

Hence, the percentage decrease is 50%.

Question 6: What is the percentage decrease from 2000 to 1600?

Solution:

Given:

The old value is 2000.

The new value is 1600

Percentage decrease =  × 100

⇒ Percentage decrease = (2000 -1600/2000) × 100

⇒ Percentage decrease = 20%

Hence, the percentage decrease is 20%.

Question 7: What is the percentage decrease from 100 to 160?

Solution:

Given:

The old value is 100.

The new value is 160

Percentage decrease =× 100

⇒ Percentage decrease =(160 – 100/100) × 100

⇒ Percentage decrease =60%

Hence, the percentage decrease is 60%.

Question 8: What is the percentage decrease from 600 to 400?

Solution:

Given:

The old value is 600.

The new value is 400.

Percentage decrease = × 100

⇒ (Percentage decrease = 600 – 400/400) × 100

⇒ Percentage decrease = 50%

Hence, the percentage decrease is 50%.

FAQs on Percent Decrease Formula

What is the percent decrease formula?

The percent decrease formula calculates the decrease in value as a percentage of the original value. It is given by:

Percent Decrease = × 100

When should I use the percent decrease formula?

You should use the percent decrease formula when you want to find out the percentage by which a value has decreased from its original value to a new value.

Can the result of the percent decrease formula be negative?

Yes, the result can be negative if the new value is greater than the original value. In such cases, it indicates that there has been an increase rather than a decrease.

Can I use the percent decrease formula for multiple decreases?

Yes, you can use the formula for multiple decreases. If there are multiple decreases, you can calculate the total decrease by adding up the individual decreases and then use the total decrease and the original value in the formula to find the overall percent decrease.