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### Unit 3: Lesson 7

Lesson 14: Solving percentage 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.
• 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!
• 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!
• can you try to explain more • I'm having trouble understanding word problems. How did they get the fraction 4/16 from the question? • im confused about how to divide the whole thing • Um i am really confused and i don't get percents at all can someone help me understand • Hello,🌻🤍

1️⃣-The definition of a percent is a fraction over 100. So, 34/100 is the same as 34%. A trick here will help you remember:
-% has 1 line and 2 zeroes; so if u make the line straight and add the circles/zeroes, it will look like 100. *Hope that helps you remember that!

2️⃣-Next, how to FIND a percent...

⏩Example {FRACTIONS} : 14/50 --> What do you do then? Here:
-You should try to make the denominator to be 100. So, ask yourself, what number I multiply by 50 gives me a hundred? Yes, it's 2. So, just multiply both 14 and 50 by 2, and it will be: 28/100 and as I mentioned, 28/100 is the same as 28%, and there you have it.

⏩Example {DECIMALS}: This is easy... 0.89. How do you turn it into a percent? Here:
-Simply, the number after the decimal is the percent. So simply:- it's 89%. But here's another way:📜
-Turn 0.89 to a fraction. How? Put the decimal digits above 10 or 100, how do you know which? If there's ONE decimal digit, it's over 10 // If there's 2, put it over 100. So, 89/100 which is 89% :D. 🤓

Hope I got to your point!🌻😊 #YouCanLearnAnything.💪

~Wonder Woman 🤍(^◡^)🌻
• So, you simplify the percentage's fraction, then make it over 100? Then that's more or less your answer? • I'M CONFUSED can someone help me understand? • Hello,🌻🤍

1️⃣-The definition of a percent is a fraction over 100. So, 34/100 is the same as 34%. A trick here will help you remember:
-% has 1 line and 2 zeroes; so if u make the line straight and add the circles/zeroes, it will look like 100. *Hope that helps you remember that!

2️⃣-Next, how to FIND a percent...

⏩Example {FRACTIONS} : 14/50 --> What do you do then? Here:
-You should try to make the denominator to be 100. So, ask yourself, what number I multiply by 50 gives me a hundred? Yes, it's 2. So, just multiply both 14 and 50 by 2, and it will be: 28/100 and as I mentioned, 28/100 is the same as 28%, and there you have it.

⏩Example {DECIMALS}: This is easy... 0.89. How do you turn it into a percent? Here:
-Simply, the number after the decimal is the percent. So simply:- it's 89%. But here's another way:📜
-Turn 0.89 to a fraction. How? Put the decimal digits above 10 or 100, how do you know which? If there's ONE decimal digit, it's over 10 // If there's 2, put it over 100. So, 89/100 which is 89% :D. 🤓

Hope I got to your point!🌻😊 #YouCanLearnAnything.💪

~Wonder Woman 🤍(^◡^)🌻

THIS IS NOT MY EXPLANATION SOMEONE ELSE DID THIS REALLY AMAZING EXPLANATION! AL CREDITS TO THAT PERSON