Percents - Algebra
Card 0 of 387
45 is what percent of 75?
45 is what percent of 75?
Let 
equal the decimal value of our answer. We can set up the following equation.
(i.e. 75 times what percent equals 45?)
Divide both sides by 75.
Multiply by 100 to get the percentage value of the decimal.
%
Let
Divide both sides by 75.
Multiply by 100 to get the percentage value of the decimal.
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In a bag of marbles, Barry has 20 green ones and 40 red ones. If he adds 7 green and 9 red, what percentage (to the nearest hundreth) of the marbles will be green?
In a bag of marbles, Barry has 20 green ones and 40 red ones. If he adds 7 green and 9 red, what percentage (to the nearest hundreth) of the marbles will be green?
First, you need to add in the marbles. This will give you 27 green and 49 red. The total number of marbles in the bag are 76. To find the percentage of green marbles, all you need to do is divide 27 by 76, which gives you 0.35526315789474 or 35.526315789474%. Rounding to the nearest percent, you get 35.53%.
First, you need to add in the marbles. This will give you 27 green and 49 red. The total number of marbles in the bag are 76. To find the percentage of green marbles, all you need to do is divide 27 by 76, which gives you 0.35526315789474 or 35.526315789474%. Rounding to the nearest percent, you get 35.53%.
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Let 
be a positive real number. In terms of 
, what percent of 
is 20?
Let
Set up a proportion statement.
Solve for 
:
Set up a proportion statement.
Solve for
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Let 
be a positive real number. In terms of 
, what percent of 25 is 
?
Let
Set up a proportion statement.
Solve for 
:
Set up a proportion statement.
Solve for
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Convert 
to a decimal.
Convert
In order to convert any percent to a decimal, simply remove the percentage sign and move the decimal place back two spaces.
This can also be shown in fraction form.
Remove the percent sign and divide 1015 by 100, since a percent is a part out of 100. Add a decimal at the end of the ones digits.
If we choose to move the decimal of the denominator two times to the left, we must also move the decimal place two times for the numerator.
The fraction becomes:
The decimal representation of 
is 
.
In order to convert any percent to a decimal, simply remove the percentage sign and move the decimal place back two spaces.
This can also be shown in fraction form.
Remove the percent sign and divide 1015 by 100, since a percent is a part out of 100. Add a decimal at the end of the ones digits.
If we choose to move the decimal of the denominator two times to the left, we must also move the decimal place two times for the numerator.
The fraction becomes:
The decimal representation of
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Let 
be a positive real number. In terms of 
, what percent of 
is 50?
Let
Set up a proportion statement.
Solve for 
:
Set up a proportion statement.
Solve for
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Convert 
into a improper fraction.
Convert
Eliminate the percentage sign and divide by 100. This will give the true value of the number without the percent sign.
The decimal 
can be converted to a fraction by moving the decimal place two places to the right and dividing by 100.
The correct answer is: 
Eliminate the percentage sign and divide by 100. This will give the true value of the number without the percent sign.
The decimal
The correct answer is:
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What percent of 
is 
?
What percent of
Write the equation to express this scenario. The percentage of a number is divided by 100 percent.
Solve for 
.
First divide by 6 on both sides.
Next multiply by 100 on both sides.
Write the equation to express this scenario. The percentage of a number is divided by 100 percent.
Solve for
First divide by 6 on both sides.
Next multiply by 100 on both sides.
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If 
of the freshman got an A on their French exam, 
got a B, 
got a C. What percentage of freshman got a D or below?
If
To answer this problem, we must know that a whole is equal to 
. With this knowledge, we understand that the percentages must add up to one hundred. The percentages provided add up to
Since we are looking for an amount that is besides what is given, we will call that unknown "x", thus based on the idea that we must add up all percentages to one hundred to make a whole, our equation will look like this:
.
To solve for x, we simply subtract 
from both sides, leaving us with 
To answer this problem, we must know that a whole is equal to
Since we are looking for an amount that is besides what is given, we will call that unknown "x", thus based on the idea that we must add up all percentages to one hundred to make a whole, our equation will look like this:
To solve for x, we simply subtract
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The Aral Sea located in Asia Minor originally had a surface area of 
and was one of the largest lakes in the world. Due to irresponsible water use, the lake has shrunk and now has a surface area of 
. What percent of the total lake surface area has been lost due to human incompitance?
The Aral Sea located in Asia Minor originally had a surface area of
First of all, since we are looking for the percent of surface area lost (not the surface area remaining), we subtract the remaining surface area from the initial to determine the lost area:
Dividing the lost surface area over the original surface area provides us with a decimal ratio of the water surface area lost:
This decimal multiplied by 
will provide us with our percentage:
This value can be rounded up to 
First of all, since we are looking for the percent of surface area lost (not the surface area remaining), we subtract the remaining surface area from the initial to determine the lost area:
Dividing the lost surface area over the original surface area provides us with a decimal ratio of the water surface area lost:
This decimal multiplied by
This value can be rounded up to
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The original price of a pair of shoes is $49.56. There is a special sale going on that is 25% off all shoes. How much do the shoes cost during the sale?
The original price of a pair of shoes is $49.56. There is a special sale going on that is 25% off all shoes. How much do the shoes cost during the sale?
Taking 25% off a price means we are paying for 75% of the original cost.
Taking 25% off a price means we are paying for 75% of the original cost.
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What is ten percent of six?
What is ten percent of six?
In order to determine the value, set up an expression.
Ten percent is ten parts out of 100, or 
.
Ten percent of six would be:
Simplify this to find the unknown value.
The answer is: 
In order to determine the value, set up an expression.
Ten percent is ten parts out of 100, or
Ten percent of six would be:
Simplify this to find the unknown value.
The answer is:
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Convert 
to decimal.
Convert
To convert a percent to a decimal, simply remove the percent sign and divide the entire number by 100.
This is also the same as moving the decimal place back two spaces.
The answer is: 
To convert a percent to a decimal, simply remove the percent sign and divide the entire number by 100.
This is also the same as moving the decimal place back two spaces.
The answer is:
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Convert the following decimal to percent: 
Convert the following decimal to percent:
A percentage is a number out of 100, which means that if we have a number that was 54 percent, then we have:
From this example, since we are given a decimal 
, we can work backwards to find the percentage by moving the decimal place two spots to the right and add a percentage sign.
The answer is: 
A percentage is a number out of 100, which means that if we have a number that was 54 percent, then we have:
From this example, since we are given a decimal
The answer is:
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of 
is
First convert the percent to a decimal. Just shift the decimal place two places to the left. 
. Next, when we see of, it means multiplication.
Remember to shift two decimal places to the left because of decimal placement.
First convert the percent to a decimal. Just shift the decimal place two places to the left.
Compare your answer with the correct one above
of 
is
First convert the percent to a decimal. Just shift the decimal place two places to the left. 
. Next, when we see of, it means multiplication.
Remember to shift two decimal places to the left because of decimal placement.
First convert the percent to a decimal. Just shift the decimal place two places to the left.
Compare your answer with the correct one above
of 
is
First convert the percent to a decimal. Just shift the decimal place two places to the left. 
. Next, when we see of, it means multiplication.
Remember to shift three decimal places to the left because of decimal placement.
First convert the percent to a decimal. Just shift the decimal place two places to the left.
Compare your answer with the correct one above
of 
is
First convert the percent to a decimal. Just shift the decimal place two places to the left. 
. Next, when we see of, it means multiplication.
Remember to shift three decimal places to the left because of decimal placement.
First convert the percent to a decimal. Just shift the decimal place two places to the left.
Compare your answer with the correct one above
of 
is
First convert the percent to a decimal. Just shift the decimal place two places to the left. 
. Next, when we see of, it means multiplication.
Remember to shift two decimal places to the left because of decimal placement.
First convert the percent to a decimal. Just shift the decimal place two places to the left.
Compare your answer with the correct one above
of 
is
First convert the percent to a decimal. Just shift the decimal place two places to the left. 
. Next, when we see of, it means multiplication.
Remember to shift four decimal places to the left because of decimal placement.
First convert the percent to a decimal. Just shift the decimal place two places to the left.
Compare your answer with the correct one above