a/100 = 27/4 ------------ What % of 4 is 27?

Question

Can some one work out this problem and explain to me how you got the answer.

Answer 1

a/100=27/4 this problem is a proportion. To solve this one you cross multiply. So...
multiply a times 4
multiply 100 times 27
4a=2700
divide 2700 by 4
a=675

to check this reduce 675/100 to 27/4 by dividing each by 25

what percent of 4 is 27

always replace what percent with your letter...x for example

of means times

is means =


4x=27 now divide by 4
x=6.75 now we must change this to percent by moving the decimal two places to the right, so..
x=675%

check by saying 4 times 6.75=27

if your problem had said what percent of 5 is 100, you would follow the same steps

5x=100
x=20 now move the decimal two places to the right to get percent
x=2000%
check by saying 5*20=100

now if we had 20% is how much of 200
20=200x
x=20/200
x=.1 .1 must be changed to a percent...to do this we move the decimal two places to the right, adding zeros as necessary.
x=10%

check 200*.10=20

now if we had 30% of 600 is what number
we just replace the what number with an x
of means times, see the * below
and remember is gets replaced with the = sign
so
.30*600=180 we had to change the percent to a decimal by moving two places to the left
30%*600=180

600*.30=180

visit www.purplemath.com for more help

Answer 2

a/100 = 27/ 4

taking the denominators... 4 x 25 gives a hundred. so 27 x 25 will give a... 675... therefore

675/100 = 27/4

to find the percentage of 27/4 = 27 x 25 / 4 x 25 = 625/100 = 625%

Answer 3

675%.
4 is 100 % of 4
8 is 200 % of 4
24 is 600% of 4
So 27 is 675 % of 4.
just divide 27 by 4 and multiply by 100

Answer 4

It is an algebra problem.

Multiply a/100 AND 27/4 by 100, and you get a = 2700/4.

2700/4 = 675

so a = 675

Answer 5

What % of 4 is 27 ? 27/4 =(27/4) X100% = 675% ans.

Answer 6

675%
if 4=100
then 27=?
=27x100/4
=675%

Answer 7

Your original equation is:
a / 100 = 27 / 4

To solve for a, first divide 27 by 4, which gives you 6.75:
a / 100 = 27 / 4
a / 100 = 6.75

Now multiply both sides by 100
100a /100 = 6.75 * 100
a = 675

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Quick explanation:
a/100 = 27/4
a = (27/4) * 100
a = 6.75 * 100
a = 675

Good luck in your classes.
~ Mitch ~

Answer 8

I was taught this simple formula years ago
IS %
OF= 100 There should be a linein between is/of & %/100
in the what % of 4 is 27 you have yor is(27) & your of (4) so it would be
27 ___
4 = 100
multiply 27x100 & divide that by 4 the answer is 675

I hoped you understood that

Answer 9

a/100 = 27/4
a x 4 = 27 x 100
4a = 2700
a= 2700/4 = 675
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4 is 14.814% of 27

Answer 10

675%
do the division yourself but using this website will help you with percentages but you need to learn to do the math yourself in order to explain the problem. use the site to help you to check your work.