131.25 is what percent of 292.5 - 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 292.5 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 292.5, so we can write it down as 100%=292.5.
4. We know, that x% equals 131.25 of the output value, so we can write it down as x%=131.25.
5. Now we have two simple equations:
1) 100%=292.5
2) x%=131.25
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%=292.5/131.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 131.25 is what percent of 292.5

100%/x%=292.5/131.25
(100/x)*x=(292.5/131.25)*x       - we multiply both sides of the equation by x
100=2.2285714285714*x       - we divide both sides of the equation by (2.2285714285714) to get x
100/2.2285714285714=x
44.871794871795=x
x=44.871794871795

now we have:
131.25 is 44.871794871795% of 292.5