Homework Help

How do you write a percent into a decimal?115.9%

user profile pic

pnrobbe | Student, Undergraduate | eNotes Newbie

Posted March 16, 2010 at 2:02 PM via web

dislike 0 like

How do you write a percent into a decimal?

115.9%

8 Answers | Add Yours

user profile pic

neela | High School Teacher | Valedictorian

Posted March 16, 2010 at 3:48 PM (Answer #1)

dislike 1 like

115.9% or 115.9 % means 115.9 divided by 100.

This could be done like 115.9*10/(100*10) = 1159/1000 = 1159/1000

=(1000+100+50+9)/1000

=1000/1000+100/1000+50/1000+9/1000

=1.0+0.1+0.05+0.009

=1.159. Therefore , a practical rule could be useful to remember that  dividing a decimal number by 100 is equivalent to shift the decimal point  by 2 digits left. Or to divide a decimal number by 1000 we  could do shift the decimal point to left by 3 digits - and so on.

Hope this is helpful.

user profile pic

Ashley Kannan | Middle School Teacher | (Level 3) Distinguished Educator

Posted March 16, 2010 at 8:16 PM (Answer #2)

dislike 1 like

There are several approaches in answering the question that all lead to the same answer.  I have always tried to teach students that in order to make a decimal into a percent, you multiply by 100 because percent means "of 100."  If we know that the term "of" means to multiply, then this process becomes easier.  This would mean that .89 as a percent would be 89% because we multiply .89 by 100.  The other way of thinking about this is when we multiply, we move the decimal two places to the right.  Bearing this in mind, the opposite is true.  When we write a percent as a decimal we are actually dividing by 100 and thus moving the decimal two places to the left.  This means that 115.9% as a decimal becomes 1.159.

user profile pic

pohnpei397 | College Teacher | (Level 3) Distinguished Educator

Posted March 16, 2010 at 2:12 PM (Answer #3)

dislike 0 like

All you have to do here is to move the decimal point over two places to the left.  You can do that with any percentage to turn it into a decimal.  So, in your example, you move the decimal over two places to the left and you get 1.159.

This makes sense because 100% would be 1.  And so 115.9% is 1 plus another 15.9%.

As I say, you can do this with any percentage.  If your percentage is less than 100, you can still do it.  For example 5% is .05.

user profile pic

epollock | Valedictorian

Posted March 16, 2010 at 2:15 PM (Answer #4)

dislike 0 like

To write a percent as a decimal, simply use as many places to the right and left of the decimal point as needed.

If we know that 1=100/100, then x% = x/100

So, for example 12% =0.12, because 12/100=0.12

If 100% =1, then 115% = 1.15 and,

115.9% = 1.159

Percents and decimals are not as hard as you think once you get the hang of it. Just remember that a percent is usually out of 100 so that would be two decimal places to the right, or the hundredths place.

user profile pic

jackrocks4 | eNotes Newbie

Posted March 16, 2010 at 2:33 PM (Answer #5)

dislike 0 like

To convert any percentage value to decimal one has to divide it by 100.

For Eg: If X% value has to be converted into decimal then it will be X/100.

Similarly, for 115.9% its decimal will be 115.9/100 = 1.159

Kind Regards,

Jack

user profile pic

echennen | Middle School Teacher | eNotes Newbie

Posted March 17, 2010 at 3:05 PM (Answer #6)

dislike 0 like

You can do a couple things...

1. You can move the decimal two places to the left. You can do this because percent means "out of 100" and two place values represents the "hundreths place value." Therefore, your answer would be "1.159"

2.  You can ALWAYS change ANY percent to a fraction. percent means "out of 100" so you can write "115.9 over 100" (in fraction form). Fractions are division problems. When you divide 115.9 divided by 100 (on a calulator or in your head) you'll get a decimal everytime.

Good luck!

user profile pic

yoobie | High School Teacher | eNotes Newbie

Posted March 18, 2010 at 3:47 PM (Answer #7)

dislike 0 like

For these kinds of questions, you have to know that 100%=1.0

So, to put it simply, you have to get rid of the % sign and then move the decimal points 2 times to the left.

115.9% is equal to 100%+15.9%

so, as mentioned before, 100% is equal to 1, 115.9% is 1+15.9%

15.9%, if the decimal point is moved twice to the left, is equal to 0.159 in decimal points.

To total up,

115.9%=100%+15.9%

=1+0.159

=1.159

To do it another way, just divide this by 100%

So, this way, it will be:

115.9%/100%

=115.9/100

=1+15.9/100

=1+ 159/1000

=1+0.159

=1.159

user profile pic

deviander | Student, Undergraduate | Honors

Posted March 23, 2010 at 5:07 PM (Answer #8)

dislike 0 like

% is simply a short form of saying 1 over 100.

115.9% is 115.9 x (1/100) = 1.159

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes