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Lesson 5: Percent problems

# Finding a percent

Percent means per-hundred.  Use that knowledge to solve problems like what percent of 16 is 4? 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 • Question - How do you find 111 is what percent of 300?
Answer - lets see the given data which is,
111 is what percent of 300, here we know that
in math "is" means = (equal to) and "of" means *
(multiply) and yeah let "what percent" be x% so,
we can covert the problem as
111 = x% * 300 which is same as
111 = x/100 * 300 we can cancel both the zeros
in 300/100
111 = x * 3 now dividing both the side by 3 we
get,
111/3 = x and now the drum rolls..
we get x=37 and which is 37% tadaa yay!
• 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!
• can you try to explain more • I'm having trouble understanding word problems. How did they get the fraction 4/16 from the question? • I'M CONFUSED can someone help me understand? • im confused about how to divide the whole thing • So, you simplify the percentage's fraction, then make it over 100? Then that's more or less your answer? • He did the long division process, but honestly, you can do it in a simple easy way. Use this formula: Is/of = %/100. Then whatever number you have, plug them in. I will do one for you guys. Use Paper to understand as you follow along with what I did.

Scroll below to see the work.

Example: What percent of 16 is 4?

This is the time to plug in the number for word. So As the format, I showed above, use that, 16 is after of, so that is where that plugs in, you need to substitute for the of with 16. Now the is will be 4, so IS = 4, Whatever left will be the variable in this case percent will be an X

After setup, cross multiply, I prefer you to start top left and go from there. You can start anywhere though in that step.

After you cross multiply, bring the numbers down
Example: X times 100 will be 100x then do the same with the one after the equal sign 10 times 40 as shown above
Answer: 10 times 40 = 400

After that you divide, always do the opposite of the factor used, so if you add then subtract and vise versa if you multiply then divide.

After division is done you combined like terms. Get X by itself. Divide 100/100 which equals 1 or X in this case.

Divide the numbers after the equal sign. In this case 400/16 or 400 over 16. In this case, the answer is 0.25 or 25%

HOPEFULLY THIS HAS HELPED EVERYONE! 