How to find the percent of increase - Algebra
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What is the percent of increase from 2000 to 2500?
What is the percent of increase from 2000 to 2500?
2500 – 2000 = 500
The amount of increase is 500. The percent increase is found by dividing the amount increase by the original amount (2000).
500/2000 = 25/100 = 25%
2500 – 2000 = 500
The amount of increase is 500. The percent increase is found by dividing the amount increase by the original amount (2000).
500/2000 = 25/100 = 25%
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Angela received an 80 out of 100 on her first geology exam. On her second exam she scored 86 out of 100. What was the percentage of increase of her grade from the first exam to her second exam?
Angela received an 80 out of 100 on her first geology exam. On her second exam she scored 86 out of 100. What was the percentage of increase of her grade from the first exam to her second exam?
Reference number is the total points available 
Relative difference is the second exam score minus the first 
Reference number is the total points available
Relative difference is the second exam score minus the first
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A number is increased by 25%, giving the result of 16. What is that number?
A number is increased by 25%, giving the result of 16. What is that number?
Begin by translating your sentence into an equation. The original number can be given the value "
." When you increase that number by 
, you can write it one of two ways:
Way 1: 
Way 2: 
Note that the second equation is merely a simplification of the first. Now, just divide both sides by 
to get 
. 
.
Begin by translating your sentence into an equation. The original number can be given the value "
Way 1:
Way 2:
Note that the second equation is merely a simplification of the first. Now, just divide both sides by
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The volume of a balloon increases from 450 cubic centimeters to 575 cubic centimeters. To the nearest whole number, what is the percentage increase in volume?
The volume of a balloon increases from 450 cubic centimeters to 575 cubic centimeters. To the nearest whole number, what is the percentage increase in volume?
To find the percentage difference, you merely subtract the start value from the end value and divide by the start. The absolute change was 
cubic centimeters or 
cubic centimeters. Divide this by the start value, 
, and you get 
or 
.
To find the percentage difference, you merely subtract the start value from the end value and divide by the start. The absolute change was
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A company loses $4 per sale of an item that is retailing for $18. To the nearest hundredth, what percentage must it be marked up to break even?
A company loses $4 per sale of an item that is retailing for $18. To the nearest hundredth, what percentage must it be marked up to break even?
The product must make another 
in order to break even. Therefore, it must be marked up to a total price of 
. The question is really asking for a percentage change. The percentage change from 
to 
is:
. NOTE: It must be marked up at least slightly more than 22.22% in order to break even.
The product must make another
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After losing six pounds of body fat, Sam is 145 pounds with a body fat percentage of 18%. What was the original weight of her body fat?
After losing six pounds of body fat, Sam is 145 pounds with a body fat percentage of 18%. What was the original weight of her body fat?
If Sam is 
lbs with a body fat percentage of 
, this means that she has 
of body fat. Before losing the weight, she would have had 
of body fat.
If Sam is
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After losing 12 pounds of body fat, Pat weighs 157 pounds with a body fat percentage of 21%. To the nearest hundredth, what was his original body fat percentage?
After losing 12 pounds of body fat, Pat weighs 157 pounds with a body fat percentage of 21%. To the nearest hundredth, what was his original body fat percentage?
If Pat is 
lbs. with 
body fat, he has 
lbs. of body fat.
When he was 
lbs. heavier, he weighed 
(that is, 
) lbs., and would have had 
(that is, 
) lbs. of body fat on his body.
This would mean that his body fat percentage is 
or approximately 
.
If Pat is
When he was
This would mean that his body fat percentage is
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2,800 is increased by 8%: What is the new number?
2,800 is increased by 8%: What is the new number?
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There are 3000 people enrolled in a specific program in 2003. Between 2003 and 2004, the number of people enrolled increases by 12%, and between 2004 and 2005, 65 people unenroll. How many people are enrolled at the beginning of 2005?
There are 3000 people enrolled in a specific program in 2003. Between 2003 and 2004, the number of people enrolled increases by 12%, and between 2004 and 2005, 65 people unenroll. How many people are enrolled at the beginning of 2005?
Between 2003 and 2004, the number of people enrolled increases by 12%:
Between 2004 and 2005, 65 people unenroll:
Between 2003 and 2004, the number of people enrolled increases by 12%:
Between 2004 and 2005, 65 people unenroll:
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Megan went to her local grocery store, expecting milk to be its usual price of $2.52 per gallon. To her dismay, she saw that the price had been increased to $2.82. What percent increase was this from the original sale price?
Megan went to her local grocery store, expecting milk to be its usual price of $2.52 per gallon. To her dismay, she saw that the price had been increased to $2.82. What percent increase was this from the original sale price?
Basic subtraction shows us that the price of milk increased by $0.30. Now, all we need to do is find what percent $0.30 is of the original price, $2.52. We can do this through cross-multiplication.
If we set 
, then 
will represent the percentage increase and therefore the final answer.
Cross-multiplying yields 
, which gives 
.
Divide both sides by 2.52 to isolate x:
x = 11.9, which is closest to 12%.
Basic subtraction shows us that the price of milk increased by $0.30. Now, all we need to do is find what percent $0.30 is of the original price, $2.52. We can do this through cross-multiplication.
If we set
Cross-multiplying yields
Divide both sides by 2.52 to isolate x:
x = 11.9, which is closest to 12%.
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Last year, a school had 351 enrolled students. This year, enrollment at the same school was up to 387 students. By what percentage did enrollment increase (to two decimal places)?
Last year, a school had 351 enrolled students. This year, enrollment at the same school was up to 387 students. By what percentage did enrollment increase (to two decimal places)?
Find the increase in students in nominal terms (below, in the numerator) and divide that by the base, which is the number of students in the first year.
Multiply the result from above by 100 to get the percent increase.
%
Note: to get the final answer to two decimal places, carry at least 4 decimal places from the first step of the calculation.
Find the increase in students in nominal terms (below, in the numerator) and divide that by the base, which is the number of students in the first year.
Multiply the result from above by 100 to get the percent increase.
Note: to get the final answer to two decimal places, carry at least 4 decimal places from the first step of the calculation.
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An item is $20 and has its price increased by 10%. It is then increased by 20% more. What is the total percentage increase?
An item is $20 and has its price increased by 10%. It is then increased by 20% more. What is the total percentage increase?
Do not overthink this question. Remember that if you have consecutive increases in value, you can multiply them in a row. For instance, if you increase something costing 
dollars by 50% and then again by 50%, you merely multiply twice by 1.5:
For our data, this would be:
Note that we DO NOT want to multiply everything out. Instead, we can see immediately that we have 132% of 20 as the new value. This means that it has been increased by 32% from its original price ($20).
Do not overthink this question. Remember that if you have consecutive increases in value, you can multiply them in a row. For instance, if you increase something costing
For our data, this would be:
Note that we DO NOT want to multiply everything out. Instead, we can see immediately that we have 132% of 20 as the new value. This means that it has been increased by 32% from its original price ($20).
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A company reports sales earnings of $85,000 for one year. The next year, the sales earnings are $91,000. By what percentage did the sales earnings increase?
A company reports sales earnings of $85,000 for one year. The next year, the sales earnings are $91,000. By what percentage did the sales earnings increase?
To find the percentage increase, first find the difference in sales earnings.
Then, divide this by the sales earnings from the first year.
Finally, multiply this fraction by 100 to get the percentage increase.
To find the percentage increase, first find the difference in sales earnings.
Then, divide this by the sales earnings from the first year.
Finally, multiply this fraction by 100 to get the percentage increase.
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Next month, Ned's monthly salary will be increased from $2,400 per month to $3,000 per month. By what percentage did Ned's salary increase?
Next month, Ned's monthly salary will be increased from $2,400 per month to $3,000 per month. By what percentage did Ned's salary increase?
To find the percentage of increase, you must divide the change in amount by the original amount. In this case, the change in amount or amount increased is $600 ($3,000 minus $2,400). The original amount is Ned's original salary, or $2,400. Thus, to find the percentage of increase of Ned's salary, you simply divide $600 by $2400: 
, which equals to 0.25 or 25%.
To find the percentage of increase, you must divide the change in amount by the original amount. In this case, the change in amount or amount increased is $600 ($3,000 minus $2,400). The original amount is Ned's original salary, or $2,400. Thus, to find the percentage of increase of Ned's salary, you simply divide $600 by $2400:
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Find the percent decrease from 75 from 50.
Find the percent decrease from 75 from 50.
To find the percent change in two numbers, we can use the formula 
. In our case, our final value is 75, and our initial value is 50. Substituting our values into the equation, we get 
.
To find the percent change in two numbers, we can use the formula
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Last year, the enrollment of freshmen at a college was 1436. This year, the enrollment increased at a percentage of 22%. What is the number of college freshmen this year?
Last year, the enrollment of freshmen at a college was 1436. This year, the enrollment increased at a percentage of 22%. What is the number of college freshmen this year?
First, find the increase in the number of freshmen from last year to this year. Given that the percentage increase is 22% (0.22 in decimal form), you can find this increased number by multiplying the percentage by 1436
So the number of freshmen has increased by 316. Add this to the number of freshmen last year.
So the number of freshmen for this year is 1752.
First, find the increase in the number of freshmen from last year to this year. Given that the percentage increase is 22% (0.22 in decimal form), you can find this increased number by multiplying the percentage by 1436
So the number of freshmen has increased by 316. Add this to the number of freshmen last year.
So the number of freshmen for this year is 1752.
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Last week, Bob earned 115 dollars. This week, Bob earned 245 dollars. What is Bob's percent of increase in earnings between last week and this week?
Last week, Bob earned 115 dollars. This week, Bob earned 245 dollars. What is Bob's percent of increase in earnings between last week and this week?
To find the percent increase of two numbers, use the following formula:
where 
is the new number and 
is the original number. For this problem, our formula would look like this:
or 
.
To find the percent increase of two numbers, use the following formula:
where
or
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The average temperature in a certain city in May is 64 degrees. On one unusually hot day, the temperature was 88 degrees. What was the percent of increase on the 88-degree day from the original 64-degree average?
The average temperature in a certain city in May is 64 degrees. On one unusually hot day, the temperature was 88 degrees. What was the percent of increase on the 88-degree day from the original 64-degree average?
For this question, the only difficult part is knowing what is meant by "percent of increase." With questions of this type, we need to know what part of the original whole was added to yield the new, increased value. Here, the original value was 64 and the increased value is 88. First, we find the difference between the two:
This is the amount of increase. Next, we take 
, which is our percent of increase in fraction form. The simplified value of this number is 
, or 
.
The original number increased by 37.5%.
For this question, the only difficult part is knowing what is meant by "percent of increase." With questions of this type, we need to know what part of the original whole was added to yield the new, increased value. Here, the original value was 64 and the increased value is 88. First, we find the difference between the two:
This is the amount of increase. Next, we take
The original number increased by 37.5%.
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Lucy has 
and her mom gives her 
allowance, making her total money 
. What is the percent increase of Lucy's money?
Lucy has
Lucy had $100 and then earned $10. Since her amount of money went up by $10, and 10 is 10% of 100, then her percent increase is 10%.
Also we can use the formula,
Lucy had $100 and then earned $10. Since her amount of money went up by $10, and 10 is 10% of 100, then her percent increase is 10%.
Also we can use the formula,
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