55.3 is what percent of 131.4 - 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 131.4 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 131.4, so we can write it down as 100%=131.4.
4. We know, that x% equals 55.3 of the output value, so we can write it down as x%=55.3.
5. Now we have two simple equations:
1) 100%=131.4
2) x%=55.3
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%=131.4/55.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.3 is what percent of 131.4

100%/x%=131.4/55.3
(100/x)*x=(131.4/55.3)*x       - we multiply both sides of the equation by x
100=2.376130198915*x       - we divide both sides of the equation by (2.376130198915) to get x
100/2.376130198915=x
42.085235920852=x
x=42.085235920852

now we have:
55.3 is 42.085235920852% of 131.4