118.66 is what percent of 718.33 - 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 718.33 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 718.33, so we can write it down as 100%=718.33.
4. We know, that x% equals 118.66 of the output value, so we can write it down as x%=118.66.
5. Now we have two simple equations:
1) 100%=718.33
2) x%=118.66
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%=718.33/118.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 118.66 is what percent of 718.33

100%/x%=718.33/118.66
(100/x)*x=(718.33/118.66)*x       - we multiply both sides of the equation by x
100=6.053682791168*x       - we divide both sides of the equation by (6.053682791168) to get x
100/6.053682791168=x
16.51887015717=x
x=16.51887015717

now we have:
118.66 is 16.51887015717% of 718.33