118.96 is what percent of 567.94 - 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 567.94 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 567.94, so we can write it down as 100%=567.94.
4. We know, that x% equals 118.96 of the output value, so we can write it down as x%=118.96.
5. Now we have two simple equations:
1) 100%=567.94
2) x%=118.96
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%=567.94/118.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 118.96 is what percent of 567.94

100%/x%=567.94/118.96
(100/x)*x=(567.94/118.96)*x       - we multiply both sides of the equation by x
100=4.7742098184264*x       - we divide both sides of the equation by (4.7742098184264) to get x
100/4.7742098184264=x
20.945874564215=x
x=20.945874564215

now we have:
118.96 is 20.945874564215% of 567.94