Percentage - ACT Math
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We asked 1000 people their preferences of movie genres. 7.5% of those asked preferred horror movies, 35% preferred romantic films, 20% preferred dramas and 37.5% preferred comedies. How many people liked horror films?
We asked 1000 people their preferences of movie genres. 7.5% of those asked preferred horror movies, 35% preferred romantic films, 20% preferred dramas and 37.5% preferred comedies. How many people liked horror films?
People who prefer horror films = 1000 people x 7.5% = 1000 x 0.075 = 75 people
People who prefer horror films = 1000 people x 7.5% = 1000 x 0.075 = 75 people
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There are 20 students in a class. 35 percent of the students in the class are boys. What fraction of the class is girls?
There are 20 students in a class. 35 percent of the students in the class are boys. What fraction of the class is girls?
There are 20 total students in the class. 35% of 20 is 7. There are 7 boys in the class.
girls in the class.
There are 20 total students in the class. 35% of 20 is 7. There are 7 boys in the class.
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Which of the following represents 
as a fraction?
Which of the following represents
To represent a percentage as a fraction, keep the percentage in the numerator and put 
in the denominator.
Therefore:
To represent a percentage as a fraction, keep the percentage in the numerator and put
Therefore:
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Which of the following fractions is equivalent to 
Which of the following fractions is equivalent to
To convert an integer percentage into an improper fraction, set the percentage as a fraction over 
and simplify as far as you can. At that point, simply convert the improper fraction into a mixed fraction.
To convert an integer percentage into an improper fraction, set the percentage as a fraction over
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A politician promises to spend up to 
of his budget on improving roads. Which of the following is closest to the fraction of their budget the politician must devote to road improvement?
A politician promises to spend up to
To convert a decimal percentage into a fraction, first convert it to a decimal:
Now, set ths as a fraction with 
as the denominator (expanding to as many significant digits as you need to line the fraction up):
Now just reduce your fraction!
To convert a decimal percentage into a fraction, first convert it to a decimal:
Now, set ths as a fraction with
Now just reduce your fraction!
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Convert to a fraction: 
Convert to a fraction:
To convert a percentage to a fraction, divide the percentage by 100, then simplify. The presence of a variable does not significantly affect this process.
To convert a percentage to a fraction, divide the percentage by 100, then simplify. The presence of a variable does not significantly affect this process.
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Convert the following to a percentage.
Convert the following to a percentage.
To convert a fraction into a percentage, simply simplify the fraction into a decimal and multiply by 100.
To convert a fraction into a percentage, simply simplify the fraction into a decimal and multiply by 100.
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The girl's tennis team decided to do multiple fundraisers to raise enough to buy new equipment for next season. The following is a table of 4 of the fundraisers they did and the fraction of the total funds each raised.
The last fundraiser they did earned them the final 
they needed. What percent of the total funds raised did the last fundraiser raise?
The girl's tennis team decided to do multiple fundraisers to raise enough to buy new equipment for next season. The following is a table of 4 of the fundraisers they did and the fraction of the total funds each raised.
The last fundraiser they did earned them the final
The question asks to find what percent the last fundraiser makes up of the total funds raised. The information that's given is how much that last fundraiser made and what fraction the other fundraisers made.
This problem may be solved without the amount of money the last fundraiser raised. The reason is that we know that only 5 fundraisers were done. We're given what the fraction of the other fundraisers were.
If we were to add all the fractions together, including the last fundraiser, the sum of all would equal 1.
Fractions are another version of decimals but also another version of percentages. Percentages are essentially a prettier way of showing parts (or fractions) of a whole, which would be 100%. In the case of fractions, this is the same logic, which is why when all the fractions are summed, they equal 1. This 1 represents 100%.
Upon using lowest common denominators, adding the fractions together, and solving for x, x is calculated to be 
We've almost obtained the final answer. Now it's just a matter of converting this fraction into a percent. As mentioned previously, fractions are another version of decimals. Think of decimals as being the middle conversion between fractions and percents. All that needs to be done to a decimal to turn it in to a percent is to multiply it by 100. For instance, .50 becomes 50%. Conversely, .50 is the same as 
in fraction form. Therefore, one half is 50%.
In order to solve for x in percent, the same conversion must be done.
The question asks to find what percent the last fundraiser makes up of the total funds raised. The information that's given is how much that last fundraiser made and what fraction the other fundraisers made.
This problem may be solved without the amount of money the last fundraiser raised. The reason is that we know that only 5 fundraisers were done. We're given what the fraction of the other fundraisers were.
If we were to add all the fractions together, including the last fundraiser, the sum of all would equal 1.
Fractions are another version of decimals but also another version of percentages. Percentages are essentially a prettier way of showing parts (or fractions) of a whole, which would be 100%. In the case of fractions, this is the same logic, which is why when all the fractions are summed, they equal 1. This 1 represents 100%.
Upon using lowest common denominators, adding the fractions together, and solving for x, x is calculated to be
We've almost obtained the final answer. Now it's just a matter of converting this fraction into a percent. As mentioned previously, fractions are another version of decimals. Think of decimals as being the middle conversion between fractions and percents. All that needs to be done to a decimal to turn it in to a percent is to multiply it by 100. For instance, .50 becomes 50%. Conversely, .50 is the same as
In order to solve for x in percent, the same conversion must be done.
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If a dress in a store originally costs 
, what does it cost (in dollars) after a 
discount is applied?
If a dress in a store originally costs
To find 
of 80, 
. Next, subtract 
, for 
as the final answer.
To find
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Luke went to the grocery store. It took him 15 minutes to drive to the store from his house, 30 minutes to shop, 5 minutes to put groceries in his car, and 20 minutes to drive home due to traffic.
What percentage of the trip did Luke spend inside his car?
Luke went to the grocery store. It took him 15 minutes to drive to the store from his house, 30 minutes to shop, 5 minutes to put groceries in his car, and 20 minutes to drive home due to traffic.
What percentage of the trip did Luke spend inside his car?
You take 15 + 20 = 35 minutes as total time spent in the car.
Then, you take 15 + 20 + 5 + 30 = 70 minutes as total trip time.
We take (35/70) x 100% = 50%
You take 15 + 20 = 35 minutes as total time spent in the car.
Then, you take 15 + 20 + 5 + 30 = 70 minutes as total trip time.
We take (35/70) x 100% = 50%
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There are 300 sandwiches at a company-wide picnic. If half of the sandwiches are tuna, and the provider mistakenly uses expired tuna in three-fifths of those sandwiches, what percentage of total sandwiches still remain edible?
There are 300 sandwiches at a company-wide picnic. If half of the sandwiches are tuna, and the provider mistakenly uses expired tuna in three-fifths of those sandwiches, what percentage of total sandwiches still remain edible?
This multi-part question makes use of both fractions and percentages, as well as some tricky language if you are not paying close attention.
First off, determine what three-fifths of the 150 tuna sandwiches is:
Now, refer back to the question, which asks how many TOTAL sandwiches (tuna and non-tuna) still remain edible. This is simple arithmetic.
Finally, find what percentage this equals:
This multi-part question makes use of both fractions and percentages, as well as some tricky language if you are not paying close attention.
First off, determine what three-fifths of the 150 tuna sandwiches is:
Now, refer back to the question, which asks how many TOTAL sandwiches (tuna and non-tuna) still remain edible. This is simple arithmetic.
Finally, find what percentage this equals:
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Express the fraction 
as a percentage.
Express the fraction
Converting a fraction to a percentage can be done in two ways. The first way involves recalling that a percent is just a fraction of 100 (per cent). Therefore, the percent equivalent to 
is the numerator of the equivalent fraction whose denominator is 100. In order to convert 
to a fraction over 100, I need to multiply the numerator and denominator each by 4.
Therefore, our answer is 28%.
The other approach is to convert the fraction to a decimal first by dividing 7 by 25.
To convert a decimal to a percent, just shift the decimal point two places to the right.
With this method, our answer is again 28%.
Converting a fraction to a percentage can be done in two ways. The first way involves recalling that a percent is just a fraction of 100 (per cent). Therefore, the percent equivalent to
Therefore, our answer is 28%.
The other approach is to convert the fraction to a decimal first by dividing 7 by 25.
To convert a decimal to a percent, just shift the decimal point two places to the right.
With this method, our answer is again 28%.
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A politician promises to spend a minimum of 
of his budget on improving roads. What is the minimum percent of the budget that must be spent on roads to keep this promise?
A politician promises to spend a minimum of
To find a percentage from a fraction, multiply the numerator by 
, then solve the fraction.
Thus, the politician must spend at least 
of the budget on roads.
To find a percentage from a fraction, multiply the numerator by
Thus, the politician must spend at least
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Convert to a percentage: 
Round to the nearest integer.
Convert to a percentage:
Round to the nearest integer.
We can solve this problem either by adding the two fractions and then converting to a percentage, or by converting each fraction to a percentage before adding them. We'll use the first method in this case:
Now, just as before, multiply our numerator by 
and solve the fraction:
We can solve this problem either by adding the two fractions and then converting to a percentage, or by converting each fraction to a percentage before adding them. We'll use the first method in this case:
Now, just as before, multiply our numerator by
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Convert to a percentage: 
Convert to a percentage:
Despite the presence of a variable, the rule remains the same: To convert a fraction to a percentage, multiply the numerator by 100 and solve the fraction.
Despite the presence of a variable, the rule remains the same: To convert a fraction to a percentage, multiply the numerator by 100 and solve the fraction.
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The Smith family consumed 35 pounds of table salt last year. As part of a healthier diet, they would like to cut their table salt consumption by 40% this year. In order to reach this goal, what is the maximum amount of salt, in pounds, that the Smith family can consume this year?
The Smith family consumed 35 pounds of table salt last year. As part of a healthier diet, they would like to cut their table salt consumption by 40% this year. In order to reach this goal, what is the maximum amount of salt, in pounds, that the Smith family can consume this year?
We need to first find 40 percent of the amount of table salt that the Smith family consumed in the previous year. In order to calculate this, we need to convert 40 percent into a decimal by moving the decimal place two spaces to the left and multiplying it by last year's salt consumption.
Now, we need to subtract this amount from last year's salt consumption in order to calculate this years reduced consumption for the Smith family.
We need to first find 40 percent of the amount of table salt that the Smith family consumed in the previous year. In order to calculate this, we need to convert 40 percent into a decimal by moving the decimal place two spaces to the left and multiplying it by last year's salt consumption.
Now, we need to subtract this amount from last year's salt consumption in order to calculate this years reduced consumption for the Smith family.
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If n% of 400 is 260, then what is 20% of n?
If n% of 400 is 260, then what is 20% of n?
n% of 400 is 260
A number as a percentage of a second number is equal to the first number divided by the second number, times 100%.
260 / 400 * 100% = .65 * 100% = 65%. n = 65.
20% of n?
20% of 65 is equal to 65 * 20 / 100 = 65 / 5 = 13.
n% of 400 is 260
A number as a percentage of a second number is equal to the first number divided by the second number, times 100%.
260 / 400 * 100% = .65 * 100% = 65%. n = 65.
20% of n?
20% of 65 is equal to 65 * 20 / 100 = 65 / 5 = 13.
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Auditions are being held for the annual school musical. There are 18 roles available in the show. If 75 students try out, what percentage of the students will get a role in the musical?
Auditions are being held for the annual school musical. There are 18 roles available in the show. If 75 students try out, what percentage of the students will get a role in the musical?
Percentage is #roles / # students = 18 / 75 = 0.24 = 24%
Percentage is #roles / # students = 18 / 75 = 0.24 = 24%
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You are making cookies and mixing the dry ingredients: flour, white sugar and brown sugar. If the recipe calls for 3 1/4 cups of flour, 1/2 cup of white sugar and 3/4 cup of brown sugar, what percentage of the recipe is white sugar?
You are making cookies and mixing the dry ingredients: flour, white sugar and brown sugar. If the recipe calls for 3 1/4 cups of flour, 1/2 cup of white sugar and 3/4 cup of brown sugar, what percentage of the recipe is white sugar?
Total ingredients = 3 1/4 cups + 1/2 cup + 3/4 cup = 4 1/2 cups
White sugar percentage = white sugar / total = (1/2)/(9/2) = .111 = 11.1%
Total ingredients = 3 1/4 cups + 1/2 cup + 3/4 cup = 4 1/2 cups
White sugar percentage = white sugar / total = (1/2)/(9/2) = .111 = 11.1%
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Jamie bought shoes for 30% off the regular price of $37.99, rounded to the nearest cent. If she wanted to use exact change to pay, how much would she need in coins?
Jamie bought shoes for 30% off the regular price of $37.99, rounded to the nearest cent. If she wanted to use exact change to pay, how much would she need in coins?
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