10.8 is what percent of 180.8 - 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 180.8 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 180.8, so we can write it down as 100%=180.8.
4. We know, that x% equals 10.8 of the output value, so we can write it down as x%=10.8.
5. Now we have two simple equations:
1) 100%=180.8
2) x%=10.8
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%=180.8/10.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.8 is what percent of 180.8

100%/x%=180.8/10.8
(100/x)*x=(180.8/10.8)*x       - we multiply both sides of the equation by x
100=16.740740740741*x       - we divide both sides of the equation by (16.740740740741) to get x
100/16.740740740741=x
5.9734513274336=x
x=5.9734513274336

now we have:
10.8 is 5.9734513274336% of 180.8