Let’s master PERCENT…..Step-by-Step….. 

When I was a kid I couldn't understand any math at all. When I grew up and went to college the teachers explained this just like you do. I do Algebra in my head now. It is my own personal Crossword Puzzle Type of entertainment. When I am stressed or bored I do algebra problems. Thank you for your Lucid explanations of these difficult concepts.

Percent comes from Latin meaning "Per Centum" which translates as "For every 100". The symbol % is a stylized fraction representing 1/100 which means one hundredth which is 0.01. Therefore 18% means 18 hundredths which is 18/100 = 0.18. Therefore the answer to the question 18% of what number equals 3 can be simply solved by calculating 3 ÷ 0.18 = 16.666...

At 71 you've finally made this understandable and fun!

'What makes John so Boss is that he creates stealth difficult equations. John always needs to apply hairspray to his math problems. Then, when you think you can't solve the problem, he applies a solution based conditioner. John, you are truly a wonderful presence on you tube. I'm a fan and I have never had math instruction on such a top tier level. Thank you so much.

There is a much simpler solution. Divide 3 by 18% = 0.1666 Multiply 0.1666 by 100% = 16.6666 Works every time.

Use this ratio 3/n = 18/100 then cross multiply 3*100 = 18n then n= 300/18 and n = 16.667. Simple algebra seems to work best for me because I can use 'n' to find not only percent but any of the numbers in the ratio 3, 16.667, 18, or 100. The ratio must answer the question. Example: 3 is what percent of 16.667 would be 3/16.667 = n/100 now cross multiply

I learned that the 'of' in math means multiplication, and you can undo multiplication with division and vice versa. And turning a percent into a decimal moves it two places to the left. Therefore, 18% (x) =3 is 3 ÷ .18 = ~17.

I love learning math again at 65 years of age. If I may offer with respect, because you are a good teacher. Perhaps less chitchat? I scrolled down while you were talking and learned how to solve the problem two minutes in. Now I can learn to solve other problems or practice what I've learned with the other 18 minutes. Thank you for your efforts.

Simple. 3 divided by 18 (or 1 divided by 6, if you´re doing it in your head) times by 100 equals 16.6666666666. I´ve found that by keeping budgets ever since I´ve left school while avoiding calculators, I have kept my sense of maths from my schooldays. Also, by having a set of counting bricks as a small kid helped a lot.

I'm sure glad I learned math in the early 60's. Your approach is cumbersome, not only here but in all the various math problems you explain, and can be explained much easier in other ways.

Nice job. A stellar review! Thanks, keep up the good work!

When I think about percent, I realize it is another way to multiply, therefore the commutative property applies. Something most people don't realize is that a%(b) always equals b%(a). Especially if you're doing the percentage in your head, you might find that swapping the two terms helps. For example: 18% of 25 is hard to do in your head, but 25% of 18 is easy -- It's just half of half. 4.5. All good wishes.

MR. TabletClass Math, thank you for a fantastic lecture on Percent's in Mathematics.

He makes it more complicated than it is

Thanks for the refresher!💞

Thanks 🙏 keep fully explaining every step 👍

I learned it as 3 ÷ 0.18 since percent is short for per centum and centum is 100.

One thing I think I"m fair at. Make a fraction, 100 over 18 = X over 3. Cross multiply to solve, Multiply 3 x 100, then divide by 18. - 16.6667. I honestly think making proportions is my most used math in the business world. The widget company says we sold 18% of their widgits. We sold 300 units. We know that the widgit company sold 1667 total units into the market.

Super helpful -- thank you!

Nice refresher. Thank you

In the alphabet, d comes before p. You read left to right, so move the decimal to the right to go from decimal to percent. And vice versa for percent to decimal.

Thank you for showing it in algebraic form!

Amazing! Thank you!

I'm 73 years old and still love math. Everybody should have a fab teacher like this gent!

Blessed Happy New Year To You And Family Wonderful Teacher

It is a good habit before you start a calculation to estimate roughly an answer. 18 % is a little less than 20 %, which is 1/5. So the unknown number should be a little more than 5 times 3, which is 15. So perhaps 16 or 17 would be the expected answer.

Any time you see the word "of" it means multiply

Thank you!

What did I learn at school fifty years ago that made it possible for me to figure this out in my head in 20 seconds?

Good job!

thank you i knew how to do these problems but you helped shape my understanding

Wow I'm retired at 66 years old did 18% of 3 in my head. That was fun.

Oftentimes math problems are good for teaching technique but have no practical use. This problem I see in variations often. Good lesson, Mr. John

An old concept taught in general math was parts of 100 and 100/6 is 16 2/3. Methods used before portable calculators were available. This enabled a student to multiply or divide by parts of 100 easily. In this problem for example 300/18 = 100/6 = 16 2/3 .

Thank you so much! first I was like aw! too much talking lol but then I realized that you are the best:))!!🤗

Good stuff professor !

It helps if you've internalized some of the fractional conversions like 25%= .25 to help cross check your results.

Thank you.

“Of” means multiple. 0.18xA=3! A=3/0.18

I watched this video cause it was bringing back some not so fond memories from when I was a kid. 😂 I read a few comments and I noticed different people have different methods for solving this, which they find very obvious. It's obvious if you understand the "mechanics" and that's exactly what someone needs in order to be able to solve various problems, not just a particular one. In the past, in some parts of Europe, they were teaching "the rule of 3" very early because it can be used in a lot of situations. Here for example, you can set it up like this: we are looking for some number (x) which we know is the whole (aka 100%). So, if x is 100(%) and 3 is 18(%) In the "rule of 3" you multiply diagonally the two known numbers (3 * 100) and then you divide the result by the 3rd known number in order to find x. Once you understand this technique, you can use it anywhere else, like "3 is what % of 8?" So we know 8 is the 100%: 8-----100(%) then 3----- x(%)? On one diagonal, you got two known numbers - 3 and 100. Multiply them, then divide by the 3rd remaining known number. The result is the x you were looking for. Another one he's showing: 32% of 400 - so: 400 is 100% X is 32% -------------- Answer: 32*400/100= 128 No need to move decimal points with this method. Jot it down on a piece of paper the way I did at the beginning, until it becomes second nature and you can just visualize it in your head.

Percents are not complicated. If you see a percent sign, move the decimal two places to the left. Period. And simplify as follows; 0.18x =3 X=3/0.18 X =16.6667 Done

I learned to solve these math problems 5 decades ago as ratio problems and still carry them with me today. IS over OF is equal to PERCENT over 100 or another way to look at it is: PART over WHOLE is equal to PERCENT over 100 OR PART / WHOLE = % / 100 IS over OF is equal to PERCENT over 100 OR IS / OF = % / 100 Given 1st problem of 18% OF what number (n) IS 3 would be written as: 3 / n = 18 / 100; cross multiply to eliminate denominator: (3)(100) = (18)(n) Divide by 18 to isolate n ==> 300/18, reduces to 50/3; therefore n = 16.67

Sorry for asking this but... which program are you using as a blackboard?. It's really nice, man!. Thanks in advance, and for your excellent videos.

It would be nice if you get to the point in the explantions a lot quicker. So once you give example-as introduction, answer it,then we can see if we are wrong or right. Then build from there.

Excellent instructional teaching! I'm a college grad whose major was Biochemistry and Botany; needless to say that I had a lot of advanced algebra etc., however I missed this answer by overusing percent calcs. I'm out of practice, but I'm also 66 yrs old.

You are making it more difficult than it is. Explain it simpler.

No calculator needed for the "18% of what # is 3?". No converting percent to decimal needed. In your head you can figure it to a whole number with fractional remainder. The only truly correct (as it is exact) answer is 16 2/3 (or 16.6 repeating). 16.67 is approximate and certainly good enough for counting pennies.

Just divide 3 by 18 and multiply by 100.

Why overly complicate it

I did in my head first: If 3 = 18%, then 1 = 6% , so 10 = 60%. I need to figure the remaining 40%: 2/3 of 10 = 6.666 equal 40%. Answer = 10 + 6.666 = 16.666 I then checked with a calculator 3/.18 = 16.666

18% * x = 3 then (18/100) * x = 3 then 18x/100 = 3 then 18x = 3*100 then x = 300/18 then x = 16,66 (verification: 18% of 16,66 = 2,99 = 3). Answer is 16,66.

Just voted! I have been studying your percent video above--very helpful. Very easy to follow and understand!

I like your refreshing and complex instructions. (18/100)•x = 3 ; (100/18)•(18/100)•x = (100/18)•3 Avoiding the decimal okay? No calc.

I like to try to figure these out in my head or at least with a minimum amount of calculations, hopefully no calculator. So 18% of a number is three. If you divide the 18 by 3 and divide the 3 by 3, you get 6% (of some number) = 1. 6% = 6/100 times (some number, say x) = 1. Then x = 100/6 = 50/3 = 16.67. You would still have to do the 50/3 calculation, but I think that's pretty easy and fast to do by hand. Anyone else see this problem that way?

right to the point -> 15:33

When I was in grade school I usually received a B+ or A in math, but in 3rd grade I had a little trouble with greater than and less than problems (> and

18% of x = 3 6% of x = 1 6% is 100/6 100/6 = 16 2/3 (just using rule-of-thumb percentage table and intuition from practice) *Intuition:* Intuition can come from simple sanity checks: 18% is near 20% 20 * 5 = 100 ...dealing with percent, `100` is a nice number to shoot for 3 * 5 = 15 ...the number is going to be a little more than 15 With that in mind when 100/6 appeared it seemed reasonable

Greetings. The answer is 16.67 rounded. We determine this value by assuming that the value of the number we wish to find is X and solve for X. Now 18% of X =3, from this we find that 18X=300, thereafter we divide both sides by 18 to get X=16.666 recurring 6. We round to two places to get 16.67.

Percentages are used everyday in finance. Extremely important subject.

I saw this as a ratio. 3 is to 18 is the same as X is to 100. 3/18 = X/100. Cross multiply and divide or 3 X 100 / 18 which means that X is equal to 16.66.

I always multiply first and then divide.

Wunderbar!

Write, is/of=%/100, fill in the numbers and cross multiply. Easy and works every time.

Commutative property applies as per Anton's post and that often makes percentage calculations easier, but not always....

I read that as “parent review”. I thought “ITS ABOUT TIME!”🤣💕🤣💕🤣💕

3x100/18 = 50/3

Not the general way of doing it, but a way to do it quickly in your head: 18% * x = 3 you can move % around: x% * 18 = 3 at that point, for some people, it becomes obvious how to do it in one's head. x% = 1/6, x = 100/6 = 50/3 ~= 16.7 YMMV. I certainly wouldn't bother doing it this way if the question involved numbers that aren't easily manipulated in one's head, e.g., "18.6% of what number is 3.23?"

Well, we have three important information to find the one missing. The best way we can do this: 18% -> 3 100% -> X So: X= (100 X 3 ) : 18 X= 300 : 18 X= 16.66 Very easy, logic and fast.

Awsome teacher

x•0.18 = 3 3÷0.18 = x 3•100/18 300\18 16.6.... Method 1: Using long division 18 goes into 30 1 time. 30 -18 = 12, bring down the zero is 120, 18 goes into 120 6 times, 120 -108 = 12. We have a remander of 12 again which means the number 6 is going to repeat forever. Method 2: memorize 100÷x where x is 1 to 20. 100÷6 equals 16.6..... this is known from rote. Interestingly we can find patterns of what next numbers are using multiples. For example 100÷7 = 14.28571 and 100÷14 = 7.14285717... 14 is double 7 and 7.12... is half 14.28. 100÷1 = 100 100÷2 = 50 100÷3 = 33.3... or 33+1/3 100÷4 = 25 100÷5 = 20 100÷6 = 16.6... or 16+2/3 Note that 6 is double 3 and 16.66666... is half of 33.33333... . These are patterns I memorize to predict numbers and solve these types of problems. 100÷7 = 14+2/7 100÷14 = 7+1/7 Note that 7 is half of 14 and 14+2/7 is double 7+1/7. There is a scaling effect where you have two factors that you multiply the first factor by s and then divide the second factor by s, you have different factors but the same product. I should stop here but am going to do a few more: 100÷8 = 12.5 note that 1/8 is 0.125. 100÷9 = 11.1... or 11+1/9. Not that ninths are just the numerator repeating like 1/9 = 0.999... 2/9 = 0.222... 8/9 = 0.888... 9/9 = 0.9999... which is exactly 1. This is like thirds because nine is a multiple of 3 so 1/3, 2/3 3/3 is 0.3... 0.6... 0.9... 1/9 is 1/3 divided by 3 so 0.3333... ÷3 = 0.1111. 100÷10 = 10 easy 100÷11 = 0.0909... Note that elevenths are repeating multiples of 9 such as .0909, .1818, .2727, ... .8181. You have 5/9 then it is 0.4545... because 9×5 = 45. 100÷ 12 = 8.3333... or 8 +1/3. We can guess this number after noticing patterns. We often have an oddball number that when dividing 1 or 100 gives thirds or quarters, or multiples of them. This is interesting: 100÷6 = 16.6... 6 is half of 12 100÷12 = 8.3... 8.3.. is half of 16.6... 100÷13 = 7.692307... the numbers repeat, this and divinding by 17 are oddballs because they are prime. 100÷14 = use the information we know about 100÷7 100÷ 15= use the information we know about 100÷5 100÷16 = compare 100÷8 100÷17 = some very strange oddball 100÷18 = half whatever 100÷9 is so 5.5..... 100÷ 19= another prime oddball. 100÷20 = 5 There are patterns, some of it is memorization some of it computing based on what we already know.

The trick is to grap that multitply by x = divide by 1/x, and that divide by y = multiply by 1/y. Once this becomes normal thinking then this entire topic is a no-brainer. I immediately saw this after reading the question: 3 * 100/18 = one sixth of a hundred = 16 2/3

Prolific math teachers does make a significant difference!!!

If I'd ever had a maths teacher who waffles as much as this, I'd never had learned _anything_

16 2/3 so50×18/300=3 so 50/3 is the number and that is the answer

John, I can’t ever remember being taught or learning about PEMDAS and now I have it helps me no end (I’m 69) I just haven’t nailed the division before multiplication as in the denominator in this operation, can you direct me to a lesson you have done prior so I can investigate please

Percent quiz: If this guys takes out the phrase "you know" , the video length will be reduced by ____ percent.

Divide 3 by 18, that will give you 1%. Then multiply the 1% number by 100 and you have your answer

If you want to do this one without using a calculator: (18/100)X = 3 -> Dividing both sides by 3 gives: (6/100)X = 1 -> X = 100/6. Then do the long division on paper and 16,67 is your answer. Right?

I never considered using Basic algebra. Thanx

What is the name of the blackboard software you're using?

The method I use to find out what 18% of what number is equal to 3 is to divide 100% by 18. Ie 100/18 = 5.55 Then 5.55 x 3 = 16.66 = 16,7

Maybe I’m lazy, but for this problem I just divide 3 by 18. This gives me 1% of the unknown number. Then I multiply by 100 which gives me the answer. I didn’t pay a lot of attention in math classes in school. So I just sort of work out my own system on a lot of math.

Excellent video. To get a number sense, we can look at this problem as first "20% of what is 3?".... 20% is just 1/5th of something, so multiplying 3 by 5 = 15 which gives you the whole. So we know the answer is going to be at least 15 because 18% is less than 20%.

I got 16.6666666 as I divided3/18= 0.166666 which -1%. Multiply by 100 =16.666 recurring.

Percent is the ph of characteristics or atom ratio per measuring system in this case centigrade Review is the mixing of atom

I was taught to simple divide 3 by .18 giving 16.66666. 5 second operation.

Learning is fun

Let me put this into a simple equation to save y'all time: 0.18X=3 Meaning that X=3/0.18 X=16.666

I always approached % by finding 1% then figuring it out from there, Eg from above would be 32 X 4 (1%) = 128 and no calculator needed. Turning it into a decimal is a new way for me to look at this type of problem. x

What I remember from grade school is « percent over 100 = is/of.

I did it in my head. 3 also is 1% of 300. Therefore 18% is one 18th of 300. 300÷18=16.666666... I doubt whether I could do it in my head if the numbers had a decimal or more.

Another approach could be realising, that 18% of x is the same as x % of 18. Then dividing 3/18 to 1/6 give you 16.6 periodically....

is this correct? please explain: 1⁰ = 1, 5⁰ = 1, 100⁰ = 1

Percent means in hundredths. Imagine a number as a circle (or a pie) divided into 100 slices. One slice is one percent of that number. In the given problem we are told that 3 = 18 slices of the number you're looking for. So how many chunks of 18 slices are there altogether? Count them up (=5 2/3 chunks). Each chunk is 3, so multiply by 3 and there's your answer!

could use cross multiplication to solve the problem i.e, 18x = 300, x = 16 .6666

16 and two thirds

Why don't you use cross multiply more. I took algebra as well but wr still learned cross multiply in grade school.

I'd do a proportion kind of method: 18% ≡ 3 1% ≡ 3/18 100% ≡ 3/18 × 100

So, all I need to do is to divide 3 by 18 to know the value of 1% then just multiply it by 100 (no need for extra gibrish).

Video sort of really starts at 3:20, but thank you for a good video.