46.91 is what percent of 114.79 - 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 114.79 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 114.79, so we can write it down as 100%=114.79.
4. We know, that x% equals 46.91 of the output value, so we can write it down as x%=46.91.
5. Now we have two simple equations:
1) 100%=114.79
2) x%=46.91
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%=114.79/46.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.91 is what percent of 114.79

100%/x%=114.79/46.91
(100/x)*x=(114.79/46.91)*x       - we multiply both sides of the equation by x
100=2.4470262204221*x       - we divide both sides of the equation by (2.4470262204221) to get x
100/2.4470262204221=x
40.8659290879=x
x=40.8659290879

now we have:
46.91 is 40.8659290879% of 114.79