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# How to work out percentages

Most math concepts can be simple if one understands what the question really is...

'Percent' is a two parts word and comes from the latin PER CENTUM translated it means 'Per one hundred' in actual facts the word really explains what it wants you to calculate...

A simple way of calculating Percentages is to use the 3 step method:

- determine what 100% of amount =
- 1% of amount = amount divided by 100
- ?%of amount = amount divided by 100 times ?% =

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Lets plug in some numbers into the formula. It's easier to comprehend when there are actual numbers in a formula...

What is 15% of 500?

### 1)100% of amount = 500

### 2)1% of amount = 500 divided by 100 or (500/100)

### 3)15% of amount = 500 divided by 100 times 15 =75 or (500/100X15=75)

So the answer to what is 15% of 500 = 75

Lets do it again. What is 30% of 600 ?

1)100% = 600

2)1% = 600 / 100

3)30% = 600 / 100 X 30 = 180

So the answer to what is 30% of 600 = 180

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If the question is reversed. How many percent is 75 of 500?

- 500 = 100%
- 1 = 100 / 500
- 75 = 100 / 500 x 75 = 15

answer 75 = 15 % of 500

Again How many percent is 180 of 600 ?

- 600 = 100%
- 1 = 100 / 600
- 180 = 100 / 600 x 180 = 30

answer 180 = 30 % of 600

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## Comments

hey i get % normaly i can do most in my head iv always found it easy but i have hit a problem..

if im in the top 100 out of 50.000.000 yeh 50mill

what % am i in ?

i think its 0.00001 or 1100th of a %

but have no real clue how to write it down lol help

how would i work out the percentage of a number smaller than a 100 like 5% of 78? do i still divide by 100? because that would give a minus number

PLEASE HELP!!!!!

Amazing stuff, hate the way they teach me at school, this was very helpful

I'm sorry but I really don't get it I'm horrible with learning I just never get what there trying to explain so is there a simpler way of learning percentages? Please and thank you :}

I would just like to say thanks for the help with percentages. I was never really good at school. I now have to learn it as part of my job and this has helped.

I am trying to make a math point with a co-worker. What is 33 1/3% of $50K? Can you send me the math?

This is a very useful hub for anyone wanting to come to grips with percentages. The key word here is "wanting". Anyone who does not know how to do these calculations by the time they have left High School have already made the choice that they will never be able to and have no interest in doing so. The doors are and windows have been locked and there is nobody getting in. It is a choice and no matter how eloquently you describe how to do it they remain hidden behind the settee in the house of their mind. If you could write a hub to get these people to come out from behind their defences toward mathematics and make new choices then you would have more than a hub but a revolution! I love your treatment of percentages but then again I am a mathematician among my other labels.Voted up!

OMG thank you so much! ive been in high school for 4 years so far, and this is the first time i've learnt how to do percentages without calculator, i should just count on the internet to learn hah!

thank you again! :)

this was really helpful to me

teacher is making us right to pages of how percents work

thanks for this. been trying to figure out how to work percentages to show the working out, this was the best thing i found through google thanks again

how would you work out 47% of 369? like with the working out and that no calculators?

This hub proved to be a nice brush-up for some long semi-lost skills. Thanks!

Good hub...will add this to my resources for my students.

Wow Zsuzsy,

This hub is great because so much of this we learned in school but fail to remember when we do not put it to use on a regular basis. I know that percentages is one thing I had to relearn when I landscaped all the time, and ratios. Great job here!

Hey just wana say thank you for the help Im training for the police college and this is what I suck at PERCENTAGES thanks again well gotta get back to learning them!!

This is a very helpful article for anyone who is still in school or even studying for a teaching exam because believe it or not some people forget percentages. Thanks for the informative hub.

how do you work out 15%

I printed this out and hung it on the fridge. Very easy guide! Thanks!

That's a useful little hub, sure a lot of people will find that helpful!

wonderful stuff there

Argh! I still can't get my head around percentage. Yet I could cope with algebra. I hope my boys pick up math better than I did. They couldn't be much worse!

or . "No" need for that comment. Guess he is not the only one with grammar problems.

Someone. There was need for that comment. You are on this site too ;)

The guy at the top. It was "painfull" doing math I see. Apparently it was also PAINFUL with grammar.

Looks good. I've always been decent at math... It's statistics that's kicking my butt..

You make it look simple and it is but my brain still hesitates on maths something that goes back to my childhood when failure at maths was painfull.

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