can someone explain percentages to me ??

Question

i don't kno how to do percentage problems!!

like what is 25% of 400 or what is 20% off of $45.00

Answer 1

what do you mean exactly?

Here's an example: In Steve Madden's there are a pair of last season's leopard prin kitten heels marked down 20% from their original prive of $120. How much do they cost with a tax of 6%?

Okay, breath easy, hon. This is actually really easy. I promise.

FIRST STEP: The first thing we need to do is find out what 20% is in decimal form.

A percent is just another way of representing what part of a whole something is. In mathematics, a whole is taken to be one. So what you need to do is convert 20% to a decimal. This is done by dividing by 100. So, 20% becomes .20, because the decimal point moved two digits to the right.

SECOND STEP: Find out what 20% OF $120 is.

This is done by multiplying the decimal form of the percent and the original price together.

.20 x 120 = 24

THIRD STEP: Find the new price of the shoes.

The shoes cost the original price minus the twenty percent, so that becomes

120 - 24 = 96

FOURTH STEP: Add 6% sales tax.

First, find the decimal form of 6%, which if you divide by 100, you will find out is .06, then, you multiply this decimal times the reduced price

96 x .06 = 5.76

Lastly, you add that sales tax onto the price

96 + 5.76 = 101.75

Therefore, these shoes cost $101.75, on sale, with tax.

I hope you understand.

Answer 2

Okay percent means per hundred. 90% means 90 out of a hundred. You can also write 90% as a decimal .90

Same with any percent
45% = .45 = 45/100
5% = .05 = 5/100

So when you're figuring out, for example, how much you're saving on a 30% off sale, you use the decimal form, because it goes into your calculator easiest

30% off of $50
50 x .30 = 15

So you could save $15 at that sale, if you buy a $50 blouse.

If it gets more complicated, for example if you know the final price and have to figure out the original price, then you have to use a variable.

Suzie saved $24 on a dress after she bought with a 20% discount. What was the original price?

Let's use P for "price" meaning the original price

P x .20 = 24
divide both sides by .20
and you get
P = 120, so the original price was $120.

Now we can go one more step in making it complicated. Suppose you know the percentage of savings, and the final price, but you don't know how much she saved, or what the original price was.

Remember that the final price is the original price minus the savings.

Suzie paid $48 for a dress after her 25% discount. What was the original price?

Let's let P be the original price and F be the final price

P minus .25 x P = F

That's just the original price minus the discount equals the final price

So let's fill in what we have. We know F is 48.

P - .25P = 48
P is just one P, when we look at it as a variable, so
.75P = 48
Divide both sides by .75 and you get P = 64

But what if the percent part is the unknown? Well, in order to solve that, they have to give us a couple of other pieces of information.

If you had original price and final price you could figure out the discount

P - Px = F
and x would be the only thing you didn't know, so you could work it out, for example.

Suzie paid $64 for an $80 pair of jeans. What percent discount did she get?
80 - 80x = 64

Remember that x is going to be less than one, in decimal form, so it's only part of the 80 that's going to be subtracted from 80 to get the final price.

-80x = -16
x=1/5 = .20 or 20 percent

Of course, this is only one kind of percentage problem, but I hope it helped explain something about the idea.

Answer 3

that all depends on what your trying to figure out.... Can you be more specific? Are you looking for a rate of return or just figuring out a percentage of some give number?

Answer to your question:

25% of 400 - move the decimal two places to the left, so 25% is now .25 400 * .25 = 100 or think of it this way what is 400 divided by 4 or 25%

so, for the next one, 20% off 45, move the decimal two places to the left again, so 45 * .20 = 9 or since 25% is the same as one-fifth (think of breaking down a hundred dollar bill) 45/5 is 9.
I hope this helps

Answer 4

Percent means "per hundred". So it is that number out of 100. However, most questions are not that exact. It may be percent out of some other number.

EX) There are 20 girls and 30 boys in a class. How many percent of the class are boys? How many are girls?

The total number is 50.
For the total amount of boys the formula is (boys/ all students), which is 30/50. Simplifying gives 3/5. Dividing gives .60. Multiply by 100 gives 60%. For girls, it is 20/ 50, which is 2/5, or 40%. 60% +40% = 100%, so all are accounted for. 60% of class are boys and 40% of class are girls.

The concept is the same even if the number is nice and round, like 50 or 100. Any fraction can be a percent.

Answer 5

It can be confusing, but I'll try....

If you have 10 marbles, and that's all of the marbles, you have 100%. All of anything is 100%. If you have 400 marbles, and that's all of the marbles, you still have 100%, because all of anything is 100%.

If you want to find out a different percentage, you simply make an equation.......10 marbles = 100% so 4 marbles = what percent...... 4 over 10 equals the unknown percent over 100% because 10 is all of the marbles, and 100% is all of the marbles. Now you have 4 is to 10 just like (blank) is to 100. Or
4/10=(blank)/100. You have to cross multiply 10 times (blank) equals 4 times 100 or 10 times (blank) equals 400, which equals 40, and that's your percentage. Another way is to divide the smaller number by the bigger one, as in 4 divided by 10, then take that times 100. 4 divided by 10 is .40 and .40 times 100 is 40%. Good Luck.

Answer 6

Take the number you have and divide it into 100 diffrent parts and now the number of those parts you get is the percent.

For a (really really) easy example. 100. If you cut 100 into 100 parts each part is 1.

So 25 percent would 25 and 5 would be 5 and so on and so on.

Answer 7

If you have the time and resources, you can use pennies (or fake pennies). Then you can break down fractions of a dollar. This will be especially good for your kinesthetic learners. You can explain as a fraction. For example 35% = 35/100, 74% = 74/100, etc. Try using a pie graph as well. That way you can visually represent 100% as the whole (or all of the pie, however you choose to word it) and show how pieces of the pie relate to percentages.