Percent Change Equation

Introduction to equation for percent change:

A percentage change is a method to state a change in a variable. It denotes the relative change among the old value and the new one. Percent changes are functional to help people understand modification in a value over time. The percent change can be solved by the equation. Using this equation we can find out the percentage change in the variable. Let, see some of the examples of percent change by using this equation.

Equation for Percent Change:
The percent change can be solved by the following simple equation.

`"Percent change" = ("New value"-"Old value")/"Old value" xx100.`

Step 1: Get the new value and the old value find the difference of this two value and divide it by old value.

Step 2:Now, perform the multiplication of the resultant value with 100, this gives the percent change.

Example of Equation for Percent Change:
Example 1:

Last year, a restaurant used 8 ounces of cream. This year, after updating its menu, it used 6 ounces of cream. What is the percent of decrease in cream usage?

Solution:

Solution:

Given:

Old value = 8 ounces

New value = 6 ounces

Formula:

`"Percent change" = ("New value"-"Old value")/"Old value" xx100.`

Solve:

Percent change = `((8-6)/8)*100%`

= 0.25*100

= 25%

Therefore, 25% of decrease in cream usage.

Example 2:

Grace flew 4 miles last year on business trips. In comparison, she has flown 3 miles this year. By what percent has her flying decreased?

Solution:

Given:

Old value = 4 miles

New value = 3 miles

Formula:

`"Percent change" = ("New value"-"Old value")/"Old value" xx100.`

Solve:

Percent change = `((4-3)/4)*100%`

= 0.25*100

= 25%

Therefore, by 25% has her flying decreased.

Example 5:

Jeffrey's Paint Supply sold 200,000 gallons of paint last year. This year, they sold 300,000 gallons of paint. What is the percent of increase in gallons of paint sold by Jeffrey's Paint Supply?

Solution:

Given:

Old value = 200000 gallons

New value = 300000 gallons

Formula:

`"Percent change" = ("New value"-"Old value")/"Old value" xx100.`

Solve:

Percent change =` ((300000-200000)/200000)*100%`

= 0.5*100

= 50%

Therefore, by 50% of increase in gallons of paint sold by Jeffrey's Paint Supply.

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Practice Problems of Equation for Percent Change:

Problem 1:

What is the percent of change from 500 to 700?

Solution:

40% increase

Problem 2:

What is the percent of change from 300,000 to 60,000?

Solution:

80% decrease

Problem 3:

What is the percent of change from 4,000 to 200?

Solution:

95% decrease