# Basic Percentage Problem

• Sep 9th 2010, 07:34 AM
BIOS
Basic Percentage Problem
Hey guys. Hopefully you can help me with this basic percentage problem.

I need to divide 1.299 into 0.40 and then convert that to a percentage.

How i do it at the moment is:

First move the decimals over to the right in 1.299 to get a whole number.

I then move the decimal the same amount of places to the right in 0.40.

Then i do the long division. This is where i get unsure however. The answer in the book is 30.8%. which is close to what i get but not exactly and i'm not certain how i convert the final result of the division to a percentage at the end?

Hope you can help!
• Sep 9th 2010, 09:48 AM
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Quote:

Originally Posted by BIOS
Hey guys. Hopefully you can help me with this basic percentage problem.

I need to divide 1.299 into 0.40 and then convert that to a percentage.

How i do it at the moment is:

First move the decimals over to the right in 1.299 to get a whole number.

I then move the decimal the same amount of places to the right in 0.40.

Then i do the long division. This is where i get unsure however. The answer in the book is 30.8%. which is close to what i get but not exactly and i'm not certain how i convert the final result of the division to a percentage at the end?

Hope you can help!

The decimal expansion of 400/1299 has quite a long repetend, but rounded to three significant figures we get 0.308. To convert to percentage, simply multiply by 100 and slap a % sign on.

% means "divided by 100" (per = "divided by" and cent = "100"). So 100% means 1, and if you have a value x, then

x = x * 100% = (100 * x) %
• Sep 9th 2010, 10:10 AM
BIOS
Thanks for the reply. That makes sense. It was the rounding and the zero after 3 in the division that confused me. I hadn't seen the case before where you get the the second division:

1030/1299

Which equals zero.

So you put zero in the place value for hundredths on the top of the division and drop another zero down for the next division:

10300/1299

is that correct?

The rounding i'm fine with. Just with the above i think i tried:

1299/1030

saw that it didn't go in (but i didn't put a zero for that place value in answer) so i dropped another zero and then divided getting seven giving me the following in my answer up until that point:

00.37

Thanks again for the explanation mate.
• Sep 9th 2010, 10:25 AM
undefined
Quote:

Originally Posted by BIOS
Thanks for the reply. That makes sense. It was the rounding and the zero after 3 in the division that confused me. I hadn't seen the case before where you get the the second division:

1030/1299

Which equals zero.

So you put zero in the place value for hundredths on the top of the division and drop another zero down for the next division:

10300/1299

is that correct?

Yep, that's correct. There's an online program that shows you long division with steps, it's pretty nice, the author of the program posts on this forum from time to time.

Quote:

Originally Posted by BIOS
The rounding i'm fine with. Just with the above i think i tried:

1299/1030

saw that it didn't go in (but i didn't put a zero for that place value in answer) so i dropped another zero and then divided getting seven giving me the following in my answer up until that point:

00.37