56.25 is what percent of 137.4 - 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 137.4 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 137.4, so we can write it down as 100%=137.4.
4. We know, that x% equals 56.25 of the output value, so we can write it down as x%=56.25.
5. Now we have two simple equations:
1) 100%=137.4
2) x%=56.25
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%=137.4/56.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.25 is what percent of 137.4

100%/x%=137.4/56.25
(100/x)*x=(137.4/56.25)*x       - we multiply both sides of the equation by x
100=2.4426666666667*x       - we divide both sides of the equation by (2.4426666666667) to get x
100/2.4426666666667=x
40.938864628821=x
x=40.938864628821

now we have:
56.25 is 40.938864628821% of 137.4