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Lesson 2: Percent problems

# Finding a percent

Discover how to calculate percentages with this simple method. First, write the problem as a fraction, then simplify it. Next, convert the fraction to a percentage by making the denominator 100. Alternatively, divide the numbers to get a decimal and multiply by 100 to find the percentage. Master this skill for everyday use. Created by Sal Khan.

## Want to join the conversation?

• could a percent go over 100
• It can, yes. If you get extra credit on a test, the score could go over 100%, for example. If something is too big to fit into something, you could say it takes up 110% of the box, but that is a bit figurative.
• I'm confused on this problem. "Jordan takes 50% of the cherries from a bowl. Then Mei takes 50% of the remaining cherries. Finally, Greg takes 50% of the remaining cherries. There are 3 cherries left. How many cherries were in the bowl before Jordan arrived?" Can I get help on this please?
• Each time someone takes 50% (or half) of the remaining cherries, the other half of them are left.

1/2 of the original number of cherries are left, just after Jordan takes the cherries.

(1/2)(1/2)=1/4 of the original number of cherries are left, just after Mei takes the cherries.

(1/2)(1/4)=1/8 of the original number of cherries are left, just after Greg takes the cherries.

Since there are now 3 cherries left, there were originally 3*8=24 cherries. The answer is 24.
• how do you find 111 is what percent of 300
• Divide: 111/300
And, multiply by 100.
In other words: 111/300 * 100/1 = the percent that you want
See if you can finish the math.
• math should solve their own problem, this is hard
• what if you keep adding 0s but you can't get a remainder or answer?
• The only way this would happen is if it is a infinite repeating number like pi or 3/7. Both of these numbers will never end no matter how much decimal places you move with the 0. These numbers can be confusing. To limit this, round to the ones, tens, hundreds, or thousandths to prevent repeating digits.

Hope this helps!
• This video doesn't help with the questions at ALL! I struggled with the questions so much! It seriously didn't help. Some of the questions didn't use the same methods which just made it harder. Didn't help at all...
• I agree
(1 vote)
• can you try to explain more
• like the teacher said in the video you can use one forth of 16 as an example and use that. After you multiply it by twenty-five and that gives you 25/100 because four is a 4th of sixteen aka a 25th of one hundred. Another problem is 5/10 what is the percentage of the five? Well multiplying the by 5 and 10 by 10 you get 50/100 aka one half of one hundred.
(1 vote)
• I'm having trouble understanding word problems. How did they get the fraction 4/16 from the question?
• He had the numbers 4 and 16. So he just divided them (i.e. 4/16).
• could a percentage go over a thousand?
• Yes, it could. A percentage could possibly be any number, even in the millions.
• Do you think he could put a harder division problem on the video? I already know what the problem is and the answer, and the questions that i have in my math class are a little bit harder, so could a harder problem be on the video please? But thanks for the info Mr.Sal

## Video transcript

Let's give ourselves a little bit of practice with percentages. So let's ask ourselves, what percent of-- I don't know, let's say what percent of 16 is 4? And I encourage you to pause this video and to try it out yourself. So when you're saying what percent of 16 is 4, percent is another way of saying, what fraction of 16 is 4? And we just need to write it as a percent, as per 100. So if you said what fraction of 16 is 4, you would say, well, look, this is the same thing as 4/16, which is the same thing as 1/4. But this is saying what fraction 4 is of 16. You'd say, well, 4 is 1/4 of 16. But that still doesn't answer our question. What percent? So in order to write this as a percent, we literally have to write it as something over 100. Percent literally means "per cent." The word "cent" you know from cents and century. It relates to the number 100. So it's per 100. So you could say, well, this is going to be equal to question mark over 100, the part of 100. And there's a bunch of ways that you could think about this. You could say, well, look, if in the denominator to go from 4 to 100, I have to multiply by 25. In the numerator to go from-- I need to also multiply by 25 in order to have an equivalent fraction. So I'm also going to multiply by 25. So 1/4 is the same thing as 25/100. And another way of saying 25/100 is this is 25 per 100, or 25%. So this is equal to 25%. Now, there's a couple of other ways you could have thought about it. You could have said well, 4/16, this is literally 4 divided by 16. Well, let me just do the division and convert to a decimal, which is very easy to convert to a percentage. So let's try to actually do this division right over here. So we're going to literally divide 4 by 16. Now, 16 goes into 4 zero times. 0 times 16 is 0. You subtract, and you get a 4. And we're not satisfied just having this remainder. We want to keep adding zeroes to get a decimal answer right over here. So let's put a decimal right over here. We're going into the tenths place. And let's throw some zeroes right over here. The decimal makes sure we keep track of the fact that we are now in the tenths, and in the hundredths, and in the thousandths place if we have to go that far. But let's bring another 0 down. 16 goes into 40 two times. 2 times 16 is 32. If you subtract, you get 8. And you could bring down another 0. And we have 16 goes into 80. Let's see, 16 goes into 80 five times. 5 times 16 is 80. You subtract, you have no remainder, and you're done. 4/16 is the same thing as 0.25. Now, 0.25 is the same thing as twenty-five hundredths. Or, this is the same thing as 25/100, which is the same thing as 25%.