132.52 is what percent of 280.52 - 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 280.52 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 280.52, so we can write it down as 100%=280.52.
4. We know, that x% equals 132.52 of the output value, so we can write it down as x%=132.52.
5. Now we have two simple equations:
1) 100%=280.52
2) x%=132.52
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%=280.52/132.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 132.52 is what percent of 280.52

100%/x%=280.52/132.52
(100/x)*x=(280.52/132.52)*x       - we multiply both sides of the equation by x
100=2.1168125565952*x       - we divide both sides of the equation by (2.1168125565952) to get x
100/2.1168125565952=x
47.240838442892=x
x=47.240838442892

now we have:
132.52 is 47.240838442892% of 280.52