5.15 is what percent of 50.8 - 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 50.8 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 50.8, so we can write it down as 100%=50.8.
4. We know, that x% equals 5.15 of the output value, so we can write it down as x%=5.15.
5. Now we have two simple equations:
1) 100%=50.8
2) x%=5.15
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%=50.8/5.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.15 is what percent of 50.8

100%/x%=50.8/5.15
(100/x)*x=(50.8/5.15)*x       - we multiply both sides of the equation by x
100=9.8640776699029*x       - we divide both sides of the equation by (9.8640776699029) to get x
100/9.8640776699029=x
10.137795275591=x
x=10.137795275591

now we have:
5.15 is 10.137795275591% of 50.8