Percent of Change

Front

What is Percent of Change?

Back

Percent of Change is a way to express how much a quantity has increased or decreased in relation to its original amount, calculated as (New Value - Original Value) / Original Value x 100%.

Front

How do you calculate the percent increase?

Back

Percent Increase = (New Value - Original Value) / Original Value x 100%.

Front

How do you calculate the percent decrease?

Back

Percent Decrease = (Original Value - New Value) / Original Value x 100%.

Front

If a price increases from $50 to $75, what is the percent of change?

Back

Percent Increase = (75 - 50) / 50 x 100% = 50%.

Front

If a population decreases from 200 to 150, what is the percent of change?

Back

Percent Decrease = (200 - 150) / 200 x 100% = 25%.

Front

What is the formula for finding the new value after a percent increase?

Back

New Value = Original Value x (1 + Percent Increase/100).

Front

What is the formula for finding the new value after a percent decrease?

Back

New Value = Original Value x (1 - Percent Decrease/100).

Front

If a student scored 80 on a test and then scored 90 on the next test, what is the percent increase in their score?

Back

Percent Increase = (90 - 80) / 80 x 100% = 12.5%.

Front

What is a real-world example of percent of change?

Back

A store has a sale where prices are reduced by 20%. If an item originally costs $50, the new price is $40, which is a 20% decrease.

Front

If a car's value decreases from $20,000 to $15,000, what is the percent decrease?

Back

Percent Decrease = (20,000 - 15,000) / 20,000 x 100% = 25%.