46.2 is what percent of 113.8 - 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 113.8 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 113.8, so we can write it down as 100%=113.8.
4. We know, that x% equals 46.2 of the output value, so we can write it down as x%=46.2.
5. Now we have two simple equations:
1) 100%=113.8
2) x%=46.2
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%=113.8/46.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.2 is what percent of 113.8

100%/x%=113.8/46.2
(100/x)*x=(113.8/46.2)*x       - we multiply both sides of the equation by x
100=2.4632034632035*x       - we divide both sides of the equation by (2.4632034632035) to get x
100/2.4632034632035=x
40.597539543058=x
x=40.597539543058

now we have:
46.2 is 40.597539543058% of 113.8