Solving Percent Problems Using Proportions Calculator

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For example, “75 percent” is another way of saying “75 parts per 100.” To calculate a percentage, the whole amount must be known, in addition to the percentage or portion amount.

The question may be “what percentage of W is P,” where W is the whole amount and P is the portion amount.

4 times 0.25 is the same thing as 4 times 1/4, which is a whole.

And you might have been able to do that in your head, because when we were at this point in our equation, 0.25x is equal to 150, you could have just multiplied both sides of this equation times 4. It should be a lot smaller than that number, and it is.

If 150 is 25% of some number, that means 150 should be 1/4 of that number. The amount is the quantity that that percentage represents.

Well, that looks like 25%, that's the percent. And based on how they're wording it, I assume amount means when you take the 25% of the base, so they're saying that the amount-- as my best sense of it-- is that the amount is equal to the percent times the base. So the base is the number you're taking the percent of. The number that we're taking 25% of, or the base, is x. Then you'd also have to do that with 150, so then it becomes 15,000. Let me just write it separately, so you understand what I'm doing. But if you do that for the number in the denominator, you also have to do that to the numerator. If you multiply 0.25 times 100, you're shifting the decimal two to the right. So 150 divided by 0.25 is the same thing as 15,000 divided by 25. So 25 doesn't go into 1, doesn't go into 15, it goes into 150, what is that? If it goes into 100 four times, then it goes into 150 six times. We can divide both sides of this equation by 0.25, or if you recognize that four quarters make a dollar, you could say, let's multiply both sides of this equation by 4. I'll do the first, because that's how we normally do algebra problems like this. And the reason why I wanted to is really it's just good practice dividing by a decimal. So we want to figure out what 150 divided by 0.25 is. When you divide by a decimal, what you can do is you can make the number that you're dividing into the other number, you can turn this into a whole number by essentially shifting the decimal two to the right. And then the right-hand side will be 150 divided by 0.25. Percents and Decimals are just tools that let us represent numbers, and that is why percents can be converted into decimals, and decimals can be converted into percents.In this tutorial you'll see how quickly you can convert percents into decimals!Knowing the mathematical meaning of words allows you to decipher word problems and gives you the power to write your own word problems, too!Take a look at these words and learn their mathematical translations.The percent sign is: % 1 percent (1%) = 1 part per 100 = 1/100 = 0.01 (a portion less than a whole) 100 percent (100%) = 100 parts per 100 = 100/100 = 1 (a portion equal to a whole) 110 percent (110%) = 110 parts per 100 = 110/100 = 1.1 (a portion greater than a whole) An amount per 100 that refers to a portion of a whole (in a general way) typically without using a specific number.The word percent is typically used with a number (example: 10 percent) while percentage is typically not used with a number (example: what percentage of the marbles are red? An exception is percentage points (example: 2 percentage points).

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