46.4 is what percent of 132 - 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 132 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 132, so we can write it down as 100%=132.
4. We know, that x% equals 46.4 of the output value, so we can write it down as x%=46.4.
5. Now we have two simple equations:
1) 100%=132
2) x%=46.4
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%=132/46.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.4 is what percent of 132

100%/x%=132/46.4
(100/x)*x=(132/46.4)*x       - we multiply both sides of the equation by x
100=2.8448275862069*x       - we divide both sides of the equation by (2.8448275862069) to get x
100/2.8448275862069=x
35.151515151515=x
x=35.151515151515

now we have:
46.4 is 35.151515151515% of 132