96.47 is what percent of 718.08 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 718.08 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 718.08, so we can write it down as 100%=718.08.
4. We know, that x% equals 96.47 of the output value, so we can write it down as x%=96.47.
5. Now we have two simple equations:
1) 100%=718.08
2) x%=96.47
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=718.08/96.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96.47 is what percent of 718.08

100%/x%=718.08/96.47
(100/x)*x=(718.08/96.47)*x       - we multiply both sides of the equation by x
100=7.4435575826682*x       - we divide both sides of the equation by (7.4435575826682) to get x
100/7.4435575826682=x
13.43443627451=x
x=13.43443627451

now we have:
96.47 is 13.43443627451% of 718.08