47.38 is what percent of 115.79 - 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 115.79 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 115.79, so we can write it down as 100%=115.79.
4. We know, that x% equals 47.38 of the output value, so we can write it down as x%=47.38.
5. Now we have two simple equations:
1) 100%=115.79
2) x%=47.38
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%=115.79/47.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.38 is what percent of 115.79

100%/x%=115.79/47.38
(100/x)*x=(115.79/47.38)*x       - we multiply both sides of the equation by x
100=2.4438581680034*x       - we divide both sides of the equation by (2.4438581680034) to get x
100/2.4438581680034=x
40.918904914069=x
x=40.918904914069

now we have:
47.38 is 40.918904914069% of 115.79