Sometimes, instead of being given a percent, you’re asked to find the percentage. Here, we have two problems we’re going to do, where we have to find the percentage.
The first one says, what percent – so again, we don’t know the percent – of 40 is 35? In this case, we can think of a percent as a part divided by a whole. So, in this case, our part would be the 35, out of the whole, which would be 40.
The next lesson: Converting Decimals to Fractions and Percentages
The following transcript is provided for your convenience.
Then we divide our numerator by our denominator to get our decimal, 35/40 is 0.875, and then we convert our decimal to a percentage by either multiplying times 100, or moving our decimal two places to the right. So, that’s 87.5%. So, 35 is 87.5% of 40.
The other way to do it is to, again, start by thinking of your percentage as a part out of a whole, so setting up your fraction. In this case, we didn’t – when we do what percent of 25 is 12, our part is 12, and our whole is 25. But remember, a percent is a part out of 100. So, if we convert our denominator to something over 100, then we’ll know what that part is. So, to change our denominator from 25 to 100, we have to multiply times 4, which means we have to do the same to our numerator. So, 12 times 4 is 48, so that’s 48 out of 100, or 48%. So, 12 is 48% of 25. It’s not quite half of it, it’s not quite 50%, it’s 48%.