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# Converting decimals to percents: 1.501

Sal converts 1.501 to a percent. Created by Sal Khan.

## Want to join the conversation?

• did you know that there is a sign called a permille ‰ (per thousand) and a permyriad ‱ (per ten thousand)? I was wondering if you could also use those to convert fractions.
• That is an interesting idea. I think you still could do it the almost exact same way as Sal demonstrates in the video, but just change 100 to 1,000 or 10,000 based on which symbol thingy you use. Hope this helped!
• is there another way to find the perimeter
• there is L and W witch means Length (L) and Width (W), length means how tall it is,and width means how big it is.you can do p = l + l + w + w, or p = 2 (l + w) + 2 (l + w)
• Can you have 150 percent
• Yes, you may. 100% is just saying the number's "full value", but that doesn't mean that you can't go beyond that!

150% is also equal to 1 1/2, right?
So 150% of a number is also 1 1/2 of a number.

For example:
150% (or 1 1/2) of 12 would be 18, which you could solve by doing 12*3/2. The answer to that is 36/2, which you can simplify to 18. So 18 is 150% of 12, which is allowed in math~
• I don't really get this video. It's a bit confusing for me. Can someone help?
• In order to convert a decimal to a fraction, you just move the decimal 2 places to the right. For example to turn the decimal 0.01 into a percent, you move the decimal 2 places to the right or multiple 0.01 by 100. Either way you get 1%.
• why do we multiply by a hundred?
• Because the the word per,but cent means 100.Thats why we multiply by 100 and also multiplying by 100 we will get the answer
• 0.30 is 30% so 30% get changed to a decimal it will be 0.30
• why is 1.501 being divided by 1 or whatever
• how does this whole thing work?
• im stuck on conveting fractions to a deimal. i dont know how to do it and the video did not explain it enough. 😕
• Just multiply the number by 100% to convert it into a percent.
• how do you change a percent to a fraction?
• To change a percent into a fraction, remember that a percentage is a part of the whole, which is always 100%. Therefore, 25% is equal to 25/100. Remember to simplify the fraction, though, so 25% as a percent would be 1/4. 100% would be 100/100 = 1, and 150% would be 150/100 = 3/2 as a fraction.

When you have to change something like 2.5% into a fraction, you can still divide it by 100 (the same as putting 2.5 in the numerator and 100 in the denominator). Remember to simplify, though. To get rid of the decimal in numerator of 2.5/100, multiply the numerator and the denominator by 10 to get 25/1000. This simplifies to 1/40. I really hope this helps you. If it doesn't, you can change the percent into a decimal and then into a fraction. Always move the decimal two places to the left when changing from a percent to a decimal. For example, 25% = 0.25 = 1/4.

## Video transcript

Let's see if we can write 1.501 as a percentage. Now we really just want to write this quantity as something over 100. So what we can do is we can say that this is the same thing as 1.501 over 1. We haven't changed its value. And let's multiply it times 100/100. When we do this product-- and I haven't changed the value. This is just multiplying something times 1. But when we do it, we're going to change the way that we're representing it. The denominator now is going to be 1 times 100. So that's pretty straightforward. That's just going to be 100. And then the numerator, we're going to want to multiply 1.501 times 100. And so if we multiply this times 10, we would move the decimal one over. We want to multiply it by 100, so we want to multiply by 10 again. So we're going to move the decimal over to the right twice. We're multiplying it by 10 twice, or you're multiplying it by 100. This is multiplying by 10. This is multiplying by 100. So this is where the decimal's going to sit now. So we're going to get 150.1. And so we've rewritten the 1.501 as 150.1 over 100, or 150.1 per 100. Let me write that. 150.1 per 100, which is the same thing as 150.1 per cent, which is the same thing as 150.1%. And we're done. And, essentially, all you're doing-- if you really want to simplify the process-- we're multiplying this by 100 to get 150.1. And then we're saying, that is the percentage. So you want to make sure that you write the percent there or the percent symbol.