What is 7 over 15 as a percent?

Answer 1

first, you must set up a similarity statement: 7 over 15 (or 7/15) equals n over 100 (100 because that's what percentages are out of; everything's out of 100%).

now, we're trying to find out how much out of 100; that's what n is. n is a space holder for now. so, we're solving for the variable, n.

so, we set it up like this:

7 n

__ = ___

15 100

then, we cross multiply; this means, we multiply the numerator (the number on top of the fraction) by the denominator (the number on the bottom of the fraction) of the other fraction.

so, we multiply the 7 by the 100, and the 15 by the n.

7x100=700. 15xn=15n.

now, the 700=15n because the fractions were equal, so now the equation is equal.

then you solve algebraically for n.

we want n all alone on the one side, so we divide 15n by 15.

what you do to one side must also be done to the other.

700=15n

÷15 ÷15

________ <- that's the equal sign

46.6667 = n

so, 47=n.

the answer is 47%.

so, a quick review,

7 n

__ = ___

15 100

7x100=700. 15xn=15n.

700=15n

700=15n

÷15 ÷15

________

46.6667 = n

47=n

the answer is 47%.