Understanding Percent of Change in Math
Learn about percent of change and how to calculate the percentage increase or decrease in values using real-life examples. Discover how to find the amount of change, the original amount, and the new amount with easy-to-follow explanations and visuals.
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Percent of Change The percent that a value increases or decreases (Section 5.7 in book)
A percent of change is: a ratio that compares the change in a quantity to the original amount. For a percent of change: amount of change = percent of change original amount The percent of change can also be expressed as the equation: = amount of change percent of change (original amount)
Ex 1) The Mitchell family bought a house several years ago for $120,000. This year, they sold it for $150,000. Find the percent of increase in the price of the house. amount of change A percent of increase is a percent of change. = percent of change original amount 150 $ 000 , 120 $ 000 , Subtract the house values to find the amount of change. x = 100 120 $ 000 , $ 30 000 , x = 100 $ 120 000 , Use the starting price as the original amount. = 120 000 , 100 ( 30 000 , ) x = 25 % x The price of the house increased by 25%.
Ex 2) Mercer Middle School had 240 students last year. This year, there are 192 students enrolled. Find the percent of change in the number of students. Is this a percent increase or a percent decrease? The percent of change is a percent of decrease. amount of change = percent of change original amount Subtract the number of students to find the amount of change. 240 192 x = 100 240 48 x Use the earlier number of students as the original amount. = 100 240 = 240 ( 48 100 ) x = 20 % x The number of students decreased by 20%.
Ex 3) A baseball team had 80 players show up for tryouts last year, and this year they had 96 players try out. Find the percent increase in players from last year to this year. amount of change The percent of change is a percent of increase. = percent of change original amount 96 80 x = Subtract the number of players to find the amount of change. 100 80 Use the earlier number of players as the original amount. = 80 1600 x = 20 % x The number of players trying out increased by 20%.
Ex 4) Leo bought a used car for x dollars. One year later, the value of the car was 0.88x. Is this an increase or decrease in value? This shows a decrease in value since 0.88x is less than x, or 1x. How much did the value of the car change? of amount = change original new value = 1 . 0 88 x x = 1 ( . 0 88 ) x = . 0 12 x The value of the car decreased by 0.12x. This is a 12% decrease from the original cost.
