Calculating percents - GMAT Quantitative
Card 1 of 520
is 20 % of 
.
is what percent of 
?
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is 20% of 
, so 
.
The question can be rewritten as
is what percent of 
?
The answer is found as follows:
The question can be rewritten as
The answer is found as follows:
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is 75% of 
.
is what percent of 
?
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is 75% of 
, so
and
The question can be rewritten as
is what percent of 
?
The answer is found as follows:
.
and
The question can be rewritten as
The answer is found as follows:
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To the nearest whole number, what percent of 5 is 40?
To the nearest whole number, what percent of 5 is 40?
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To calculate percent, we need to take one number and divide it by the other. We need to plan out the order carefully, though, because doing the division backwards will yield a trap answer.
We need to find what percent of 5 40 is. It needs to be greater than 100%, because 40 is larger than five. This clues us in that 40 needs to be in our numerator. Perform the following to solve:
Don't stop just yet though, because to convert from decimals to percents we need to multiply by 100. This makes our final answer 800%. So, we can say the 40 is 800% of 5.
To calculate percent, we need to take one number and divide it by the other. We need to plan out the order carefully, though, because doing the division backwards will yield a trap answer.
We need to find what percent of 5 40 is. It needs to be greater than 100%, because 40 is larger than five. This clues us in that 40 needs to be in our numerator. Perform the following to solve:
Don't stop just yet though, because to convert from decimals to percents we need to multiply by 100. This makes our final answer 800%. So, we can say the 40 is 800% of 5.
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To the nearest whole percent, what percent of 108 is 69?
To the nearest whole percent, what percent of 108 is 69?
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To find percents, simply divide the part by the whole. In this case, we are asked to find what percent 69 is of 108. Take 69 over 108 to find the answer.
Multiply by 100 and round to get our final answer
So, the answer is 64%.
To find percents, simply divide the part by the whole. In this case, we are asked to find what percent 69 is of 108. Take 69 over 108 to find the answer.
Multiply by 100 and round to get our final answer
So, the answer is 64%.
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A GMAT score increases from 450 to 540. By what percent did the score increase?
A GMAT score increases from 450 to 540. By what percent did the score increase?
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330 is what percent of 11?
330 is what percent of 11?
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This problem can be solved by the equation: 
, where 
is the answer in terms of a percentage. To solve for 
both sides are divided by 
: 
. This can be simplified to: 
. Now 
is converted to a percentage to find the answer.
as a percentage is 
This problem can be solved by the equation:
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Three years ago, Anum invested $25,000 in a new mutual fund account. The value of the account increased by 15% during the first year, increased by 7% during the second year, and decreased by 15% during the third year. What is the approximate value of the account today?
Three years ago, Anum invested $25,000 in a new mutual fund account. The value of the account increased by 15% during the first year, increased by 7% during the second year, and decreased by 15% during the third year. What is the approximate value of the account today?
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The first year increase of 15% can be represented as 1.15; the second year increase of 7% can be represented as 1.07; and the third year decrease of 15% can be represented as 0.85.
Multiply the original investment by each annual change.
25,000(1.15)(1.07)(0.85) = 26,148
approx. $26,000
The first year increase of 15% can be represented as 1.15; the second year increase of 7% can be represented as 1.07; and the third year decrease of 15% can be represented as 0.85.
Multiply the original investment by each annual change.
25,000(1.15)(1.07)(0.85) = 26,148
approx. $26,000
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Max the cat has 70 toy mice. If 30% of the mice are new, how many mice are not new?
Max the cat has 70 toy mice. If 30% of the mice are new, how many mice are not new?
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If 30% of the mice are new, then 70% are not new.
If 30% of the mice are new, then 70% are not new.
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37% of the greatest common factor of 50 and 350 is
37% of the greatest common factor of 50 and 350 is
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The greatest common factor of 50 and 350 is simply 50. Now we must take 37% of 50.
.
The greatest common factor of 50 and 350 is simply 50. Now we must take 37% of 50.
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A shirt costs $60. The price was then increased by 30%. What is the new price as expressed in terms of the original price?
A shirt costs $60. The price was then increased by 30%. What is the new price as expressed in terms of the original price?
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An elementary school was polled to find out what the children's favorite foods were. When asked what their favorite foods were, 42 students said pizza. 33 students said cheeseburgers, 12 students said hot dogs, 10 students said chicken nuggets, and the remaining 18 students filled in other various answers. What percentage of the students had pizza as their favorite food?
An elementary school was polled to find out what the children's favorite foods were. When asked what their favorite foods were, 42 students said pizza. 33 students said cheeseburgers, 12 students said hot dogs, 10 students said chicken nuggets, and the remaining 18 students filled in other various answers. What percentage of the students had pizza as their favorite food?
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To calculate the percentage of students who chose pizza as their favorite food, you take the number of students who chose pizza and divide by the total number of students. So first, we must calculate the total number of students. Which is simply 
total sudents.
So,
Multiply our result by 100 to get into percentage form we get 36.5%
To calculate the percentage of students who chose pizza as their favorite food, you take the number of students who chose pizza and divide by the total number of students. So first, we must calculate the total number of students. Which is simply
So,
Multiply our result by 100 to get into percentage form we get 36.5%
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Given a number 
, which of these is the greatest quantity of the three?
(a) 30% of 40% of 50% of 
(b) 40% of 50% of 30% of 
(c) 50% of 30% of 40% of 
Given a number
(a) 30% of 40% of 50% of
(b) 40% of 50% of 30% of
(c) 50% of 30% of 40% of
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All three are equal.
30% of 40% of 50% of 
is 
of 
of 
of 
: that is, 
40% of 50% of 30% of 
is 
of 
of 
of 
: that is, 
50% of 30% of 40% of 
is 
of 
of 
of 
: that is 
All three are equal.
30% of 40% of 50% of
40% of 50% of 30% of
50% of 30% of 40% of
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Out of 60 students, 15 prefer to study at night. What percent of students prefer nighttime studying?
Out of 60 students, 15 prefer to study at night. What percent of students prefer nighttime studying?
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Cross multiply
Divide both sides by 60
Cross multiply
Divide both sides by 60
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Geri earns a commission of 22.5% on everything she sells for KM Cosmetics. As of the fifteenth of the month, she has sold $2,100 worth of cosmetics. How much more in cosmetics must she sell in order to earn at least $900 commission for the month?
Geri earns a commission of 22.5% on everything she sells for KM Cosmetics. As of the fifteenth of the month, she has sold $2,100 worth of cosmetics. How much more in cosmetics must she sell in order to earn at least $900 commission for the month?
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Commission can be calculated by muliplying the commission rate - 22.5%, or 0.225 - by the amount of sales, so the amount of sales needed can be found by dividing the desired commission by 0.225.
Since Geri has already sold $2,100 worth of cosmetics, she needs to sell 
more.
Commission can be calculated by muliplying the commission rate - 22.5%, or 0.225 - by the amount of sales, so the amount of sales needed can be found by dividing the desired commission by 0.225.
Since Geri has already sold $2,100 worth of cosmetics, she needs to sell
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Gary weighs 20 percent more than Harry who's weight is 80 percent of James' weight. If James weighs 172 pounds, how much would Gary weigh if he lost 12 pounds? (Rounded to the nearest pound).
Gary weighs 20 percent more than Harry who's weight is 80 percent of James' weight. If James weighs 172 pounds, how much would Gary weigh if he lost 12 pounds? (Rounded to the nearest pound).
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If James weighs 172 pounds, and Harry weighs 80% of that, then
pounds. If Gary weighs 20% more than Harry, then
he is 120% Harry's weight 
. If he loses 12 pounds,
he would weigh 153.12 or 153 pounds.
If James weighs 172 pounds, and Harry weighs 80% of that, then
he is 120% Harry's weight
he would weigh 153.12 or 153 pounds.
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A number is divided by two; then its decimal point is moved to the left two spaces. This is the same as taking what percent of the number?
A number is divided by two; then its decimal point is moved to the left two spaces. This is the same as taking what percent of the number?
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Let's do these two things to 100. Dividing 100 by 2 yields 50; moving the decimal point two places left changes 50, or 50.0, to 0.50.
This means that the new number is 0.50% , or 
%, of the original number.
Let's do these two things to 100. Dividing 100 by 2 yields 50; moving the decimal point two places left changes 50, or 50.0, to 0.50.
This means that the new number is 0.50% , or
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A number is multiplied by six; then its decimal point is moved to the left three spaces. This is the same as taking what percent of the number?
A number is multiplied by six; then its decimal point is moved to the left three spaces. This is the same as taking what percent of the number?
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Let's do these two things to 100. Multiplying 100 by 6 yields 600; moving the decimal point three places left changes 600, or 600.0, to 0.60.
This means that the new number is 0.60% , or 
%, of the original number.
Let's do these two things to 100. Multiplying 100 by 6 yields 600; moving the decimal point three places left changes 600, or 600.0, to 0.60.
This means that the new number is 0.60% , or
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If 10 percent of 
is 25 percent of half of 
, what is 
?
If 10 percent of
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This is simply a matter of breaking down the problem. 10 percent of 
is 
.
25 percent of (half of y) is 25 percent of 
which is
.
Now we have these two being equal, so
or
giving
.
Finally,
This is simply a matter of breaking down the problem. 10 percent of
25 percent of (half of y) is 25 percent of
Now we have these two being equal, so
or
giving
Finally,
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A number is divided by 6; its decimal point is then moved to the left one place. This is the same as taking what percent of the number?
A number is divided by 6; its decimal point is then moved to the left one place. This is the same as taking what percent of the number?
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Dividing the number by 6 is the same as multiplying it by 
. Moving the decimal point left one digit is dividing it by ten, or multiplying it by 
. The two actions together amount to multiplying the number by 
.
To find its percent equivalent, multiply by 100:
The correct choice is 
% .
Dividing the number by 6 is the same as multiplying it by
To find its percent equivalent, multiply by 100:
The correct choice is
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A number is multiplied by one-sixth; the product is divided by one-seventh; that quotient is multiplied by seven-tenths. What percent of the original number is the final result?
A number is multiplied by one-sixth; the product is divided by one-seventh; that quotient is multiplied by seven-tenths. What percent of the original number is the final result?
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The best way to do this is to start with 100 and to calculate the final result, which will be the correct answer.
The final result will be as follows:
The final number will be 
of the original number.
The best way to do this is to start with 100 and to calculate the final result, which will be the correct answer.
The final result will be as follows:
The final number will be
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