46.08 is what percent of 86.4 - 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 86.4 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 86.4, so we can write it down as 100%=86.4.
4. We know, that x% equals 46.08 of the output value, so we can write it down as x%=46.08.
5. Now we have two simple equations:
1) 100%=86.4
2) x%=46.08
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%=86.4/46.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.08 is what percent of 86.4

100%/x%=86.4/46.08
(100/x)*x=(86.4/46.08)*x       - we multiply both sides of the equation by x
100=1.875*x       - we divide both sides of the equation by (1.875) to get x
100/1.875=x
53.333333333333=x
x=53.333333333333

now we have:
46.08 is 53.333333333333% of 86.4