5.6 is what percent of 13.15 - 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 13.15 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 13.15, so we can write it down as 100%=13.15.
4. We know, that x% equals 5.6 of the output value, so we can write it down as x%=5.6.
5. Now we have two simple equations:
1) 100%=13.15
2) x%=5.6
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%=13.15/5.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.6 is what percent of 13.15

100%/x%=13.15/5.6
(100/x)*x=(13.15/5.6)*x       - we multiply both sides of the equation by x
100=2.34821428571*x       - we divide both sides of the equation by (2.34821428571) to get x
100/2.34821428571=x
42.5855513308=x
x=42.5855513308

now we have:
5.6 is 42.5855513308% of 13.15