Percent Change

Front

What is percent change?

Back

Percent change is a way to express how much a quantity has increased or decreased in relation to its original value, calculated as (new value - old value) / old value x 100%.

Front

How do you calculate percent increase?

Back

To calculate percent increase, use the formula: ((new value - old value) / old value) x 100%.

Front

How do you calculate percent decrease?

Back

To calculate percent decrease, use the formula: ((old value - new value) / old value) x 100%.

Front

What is the formula for finding the original value when given the percent change?

Back

Original value = new value / (1 + percent change) for increase; Original value = new value / (1 - percent change) for decrease.

Front

If a shirt costs $40 and is marked down by 25%, what is the sale price?

Back

Sale price = $40 - ($40 x 0.25) = $30.

Front

If a population of a town increases from 1,000 to 1,200, what is the percent increase?

Back

Percent increase = ((1,200 - 1,000) / 1,000) x 100% = 20%.

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%.

Front

What does a percent change of 0% indicate?

Back

A percent change of 0% indicates that there has been no change in the value.

Front

What is the relationship between percent change and fractions?

Back

Percent change can be expressed as a fraction by dividing the change by the original value.

Front

How can percent change be used in real life?

Back

Percent change is used in various real-life situations, such as calculating discounts, determining population growth, and analyzing financial investments.