129.6 is what percent of 539.88 - 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 539.88 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 539.88, so we can write it down as 100%=539.88.
4. We know, that x% equals 129.6 of the output value, so we can write it down as x%=129.6.
5. Now we have two simple equations:
1) 100%=539.88
2) x%=129.6
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%=539.88/129.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 129.6 is what percent of 539.88

100%/x%=539.88/129.6
(100/x)*x=(539.88/129.6)*x       - we multiply both sides of the equation by x
100=4.1657407407407*x       - we divide both sides of the equation by (4.1657407407407) to get x
100/4.1657407407407=x
24.005334518782=x
x=24.005334518782

now we have:
129.6 is 24.005334518782% of 539.88