5.16 is what percent of 40.5 - 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 40.5 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 40.5, so we can write it down as 100%=40.5.
4. We know, that x% equals 5.16 of the output value, so we can write it down as x%=5.16.
5. Now we have two simple equations:
1) 100%=40.5
2) x%=5.16
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%=40.5/5.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.16 is what percent of 40.5

100%/x%=40.5/5.16
(100/x)*x=(40.5/5.16)*x       - we multiply both sides of the equation by x
100=7.8488372093023*x       - we divide both sides of the equation by (7.8488372093023) to get x
100/7.8488372093023=x
12.740740740741=x
x=12.740740740741

now we have:
5.16 is 12.740740740741% of 40.5