56.1 is what percent of 131.25 - 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 131.25 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 131.25, so we can write it down as 100%=131.25.
4. We know, that x% equals 56.1 of the output value, so we can write it down as x%=56.1.
5. Now we have two simple equations:
1) 100%=131.25
2) x%=56.1
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%=131.25/56.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.1 is what percent of 131.25

100%/x%=131.25/56.1
(100/x)*x=(131.25/56.1)*x       - we multiply both sides of the equation by x
100=2.3395721925134*x       - we divide both sides of the equation by (2.3395721925134) to get x
100/2.3395721925134=x
42.742857142857=x
x=42.742857142857

now we have:
56.1 is 42.742857142857% of 131.25