Finding Percent Change - Basic Math
Card 0 of 36
Last month the shirt you wanted to buy cost 
and this month it costs 
. What is the percent decrease?
Last month the shirt you wanted to buy cost
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1. Subtract the lower price from the higher price.
2. Divide the difference or amount of change by the initial price:
or 10% price decrease
1. Subtract the lower price from the higher price.
2. Divide the difference or amount of change by the initial price:
or 10% price decrease
In 2012, a university received 150,249 applicants. In 2013, the same university received 190,201 applicants. By what percent did the total number of applicants increase from 2012 to 2013?
In 2012, a university received 150,249 applicants. In 2013, the same university received 190,201 applicants. By what percent did the total number of applicants increase from 2012 to 2013?
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To find the percent change, use the following formula:
Our new number of applicants is 190,201, while the original number of applicants is 150,249.
To find the percent change, use the following formula:
Our new number of applicants is 190,201, while the original number of applicants is 150,249.
In March, an athlete weighed 
pounds. In April, the same athlete weighed 
pounds. What is the athlete's percentage of weight loss?
In March, an athlete weighed
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The formula to find percentage change is
.
So for our athlete, our new weight is 170 pounds, and the original weight is 195 pounds.
Because the question already tells us that we need to find the percent lost, or percent decrease, we can drop the negative sign in the answer.
The formula to find percentage change is
So for our athlete, our new weight is 170 pounds, and the original weight is 195 pounds.
Because the question already tells us that we need to find the percent lost, or percent decrease, we can drop the negative sign in the answer.
is decreased by 
. What is the new number?
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We first find 18% of 76:
Since 76 is being decreased by this amount, we subtract 13.68:
We first find 18% of 76:
Since 76 is being decreased by this amount, we subtract 13.68:
At age 
you are 
inches taller than you were 
years ago, when you were 
inches tall. What is the percent change in your height from 
years ago to now? Round your answer to the nearest tenth.
At age
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The questions throws a lot of numbers at us, but the only ones we are concerned with are those having to do with height. We use the following formula:
We want to know the percent change. We know the amount change, 6 inches, and the original amount, 52 inches. Plugging these into the formula, we get:
Rounding this number to the nearest tenth gives us 11.5%.
The questions throws a lot of numbers at us, but the only ones we are concerned with are those having to do with height. We use the following formula:
We want to know the percent change. We know the amount change, 6 inches, and the original amount, 52 inches. Plugging these into the formula, we get:
Rounding this number to the nearest tenth gives us 11.5%.
is decreased to 
. What is the percent change?
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Percent change is found by the following formula:
Amount change is the difference between the old amount and the new amount.
Here, the original amount is 30, and the new amount is 27. The difference between them is:
We plug in 3 for amount change and 30 for original amount and simplify:
Our final answer is 10%.
Percent change is found by the following formula:
Amount change is the difference between the old amount and the new amount.
Here, the original amount is 30, and the new amount is 27. The difference between them is:
We plug in 3 for amount change and 30 for original amount and simplify:
Our final answer is 10%.
In January, Widget Company made 
,
widgets. In February, the same company made 
,
widgets. By what percentage did the amount of widgets made increase?
In January, Widget Company made
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To find the percent increase, use the following formula:
In the case of Widget Company,
Therefore, the percent increase is 
To find the percent increase, use the following formula:
In the case of Widget Company,
Therefore, the percent increase is
Derek ran his first mile in 
minutes and his second mile in 
minutes.
What is the percent increase between the time it took Derek to run the first and second mile?
Derek ran his first mile in
What is the percent increase between the time it took Derek to run the first and second mile?
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The correct answer is a percent change (increase) of 
.
This can be calculated using the following equation:
Therefore, the answer is a percent increase of 
.
The correct answer is a percent change (increase) of
This can be calculated using the following equation:
Therefore, the answer is a percent increase of
In May of the past year, Harry's company made 
in profit, and in June of that same year, his company made 
in profit. By what percent did his profit increase from May to June?
In May of the past year, Harry's company made
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To find percent change, use the following formula:
Our new value is the profit in June, $210,219. Our old value is the profit in May, $189,281.
To find percent change, use the following formula:
Our new value is the profit in June, $210,219. Our old value is the profit in May, $189,281.
Last month the shirt you wanted to buy cost and this month it costs . What is the percent decrease?
Last month the shirt you wanted to buy cost
Tap to see back →
1. Subtract the lower price from the higher price.
2. Divide the difference or amount of change by the initial price:
or 10% price decrease
1. Subtract the lower price from the higher price.
2. Divide the difference or amount of change by the initial price:
or 10% price decrease
In 2012, a university received 150,249 applicants. In 2013, the same university received 190,201 applicants. By what percent did the total number of applicants increase from 2012 to 2013?
In 2012, a university received 150,249 applicants. In 2013, the same university received 190,201 applicants. By what percent did the total number of applicants increase from 2012 to 2013?
Tap to see back →
To find the percent change, use the following formula:
Our new number of applicants is 190,201, while the original number of applicants is 150,249.
To find the percent change, use the following formula:
Our new number of applicants is 190,201, while the original number of applicants is 150,249.
In March, an athlete weighed pounds. In April, the same athlete weighed pounds. What is the athlete's percentage of weight loss?
In March, an athlete weighed
Tap to see back →
The formula to find percentage change is
.
So for our athlete, our new weight is 170 pounds, and the original weight is 195 pounds.
Because the question already tells us that we need to find the percent lost, or percent decrease, we can drop the negative sign in the answer.
The formula to find percentage change is
So for our athlete, our new weight is 170 pounds, and the original weight is 195 pounds.
Because the question already tells us that we need to find the percent lost, or percent decrease, we can drop the negative sign in the answer.
is decreased by . What is the new number?
Tap to see back →
We first find 18% of 76:
Since 76 is being decreased by this amount, we subtract 13.68:
We first find 18% of 76:
Since 76 is being decreased by this amount, we subtract 13.68:
At age you are inches taller than you were years ago, when you were inches tall. What is the percent change in your height from years ago to now? Round your answer to the nearest tenth.
At age
Tap to see back →
The questions throws a lot of numbers at us, but the only ones we are concerned with are those having to do with height. We use the following formula:
We want to know the percent change. We know the amount change, 6 inches, and the original amount, 52 inches. Plugging these into the formula, we get:
Rounding this number to the nearest tenth gives us 11.5%.
The questions throws a lot of numbers at us, but the only ones we are concerned with are those having to do with height. We use the following formula:
We want to know the percent change. We know the amount change, 6 inches, and the original amount, 52 inches. Plugging these into the formula, we get:
Rounding this number to the nearest tenth gives us 11.5%.
is decreased to . What is the percent change?
Tap to see back →
Percent change is found by the following formula:
Amount change is the difference between the old amount and the new amount.
Here, the original amount is 30, and the new amount is 27. The difference between them is:
We plug in 3 for amount change and 30 for original amount and simplify:
Our final answer is 10%.
Percent change is found by the following formula:
Amount change is the difference between the old amount and the new amount.
Here, the original amount is 30, and the new amount is 27. The difference between them is:
We plug in 3 for amount change and 30 for original amount and simplify:
Our final answer is 10%.
In January, Widget Company made , widgets. In February, the same company made , widgets. By what percentage did the amount of widgets made increase?
In January, Widget Company made
Tap to see back →
To find the percent increase, use the following formula:
In the case of Widget Company,
Therefore, the percent increase is
To find the percent increase, use the following formula:
In the case of Widget Company,
Therefore, the percent increase is
Derek ran his first mile in minutes and his second mile in minutes.
What is the percent increase between the time it took Derek to run the first and second mile?
Derek ran his first mile in
What is the percent increase between the time it took Derek to run the first and second mile?
Tap to see back →
The correct answer is a percent change (increase) of .
This can be calculated using the following equation:
Therefore, the answer is a percent increase of .
The correct answer is a percent change (increase) of
This can be calculated using the following equation:
Therefore, the answer is a percent increase of
In May of the past year, Harry's company made in profit, and in June of that same year, his company made in profit. By what percent did his profit increase from May to June?
In May of the past year, Harry's company made
Tap to see back →
To find percent change, use the following formula:
Our new value is the profit in June, $210,219. Our old value is the profit in May, $189,281.
To find percent change, use the following formula:
Our new value is the profit in June, $210,219. Our old value is the profit in May, $189,281.
In March, an athlete weighed pounds. In April, the same athlete weighed pounds. What is the athlete's percentage of weight loss?
In March, an athlete weighed
Tap to see back →
The formula to find percentage change is
.
So for our athlete, our new weight is 170 pounds, and the original weight is 195 pounds.
Because the question already tells us that we need to find the percent lost, or percent decrease, we can drop the negative sign in the answer.
The formula to find percentage change is
So for our athlete, our new weight is 170 pounds, and the original weight is 195 pounds.
Because the question already tells us that we need to find the percent lost, or percent decrease, we can drop the negative sign in the answer.
is decreased by . What is the new number?
Tap to see back →
We first find 18% of 76:
Since 76 is being decreased by this amount, we subtract 13.68:
We first find 18% of 76:
Since 76 is being decreased by this amount, we subtract 13.68: