130.32 is what percent of 434.4 - 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 434.4 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 434.4, so we can write it down as 100%=434.4.
4. We know, that x% equals 130.32 of the output value, so we can write it down as x%=130.32.
5. Now we have two simple equations:
1) 100%=434.4
2) x%=130.32
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%=434.4/130.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 130.32 is what percent of 434.4

100%/x%=434.4/130.32
(100/x)*x=(434.4/130.32)*x       - we multiply both sides of the equation by x
100=3.3333333333333*x       - we divide both sides of the equation by (3.3333333333333) to get x
100/3.3333333333333=x
30=x
x=30

now we have:
130.32 is 30% of 434.4