54.69 is what percent of 118.69 - 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 118.69 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 118.69, so we can write it down as 100%=118.69.
4. We know, that x% equals 54.69 of the output value, so we can write it down as x%=54.69.
5. Now we have two simple equations:
1) 100%=118.69
2) x%=54.69
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%=118.69/54.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.69 is what percent of 118.69

100%/x%=118.69/54.69
(100/x)*x=(118.69/54.69)*x       - we multiply both sides of the equation by x
100=2.1702322179558*x       - we divide both sides of the equation by (2.1702322179558) to get x
100/2.1702322179558=x
46.078018367175=x
x=46.078018367175

now we have:
54.69 is 46.078018367175% of 118.69