5.37 is what percent of 12.83 - 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 12.83 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 12.83, so we can write it down as 100%=12.83.
4. We know, that x% equals 5.37 of the output value, so we can write it down as x%=5.37.
5. Now we have two simple equations:
1) 100%=12.83
2) x%=5.37
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%=12.83/5.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.37 is what percent of 12.83

100%/x%=12.83/5.37
(100/x)*x=(12.83/5.37)*x       - we multiply both sides of the equation by x
100=2.389199255121*x       - we divide both sides of the equation by (2.389199255121) to get x
100/2.389199255121=x
41.855027279813=x
x=41.855027279813

now we have:
5.37 is 41.855027279813% of 12.83