11.8 is what percent of 68.8 - 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 68.8 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 68.8, so we can write it down as 100%=68.8.
4. We know, that x% equals 11.8 of the output value, so we can write it down as x%=11.8.
5. Now we have two simple equations:
1) 100%=68.8
2) x%=11.8
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%=68.8/11.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.8 is what percent of 68.8

100%/x%=68.8/11.8
(100/x)*x=(68.8/11.8)*x       - we multiply both sides of the equation by x
100=5.8305084745763*x       - we divide both sides of the equation by (5.8305084745763) to get x
100/5.8305084745763=x
17.151162790698=x
x=17.151162790698

now we have:
11.8 is 17.151162790698% of 68.8