51.31 is what percent of 55.37 - 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 55.37 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 55.37, so we can write it down as 100%=55.37.
4. We know, that x% equals 51.31 of the output value, so we can write it down as x%=51.31.
5. Now we have two simple equations:
1) 100%=55.37
2) x%=51.31
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%=55.37/51.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.31 is what percent of 55.37

100%/x%=55.37/51.31
(100/x)*x=(55.37/51.31)*x       - we multiply both sides of the equation by x
100=1.0791268758527*x       - we divide both sides of the equation by (1.0791268758527) to get x
100/1.0791268758527=x
92.667509481669=x
x=92.667509481669

now we have:
51.31 is 92.667509481669% of 55.37