12.78 is what percent of 99.52 - 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 99.52 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 99.52, so we can write it down as 100%=99.52.
4. We know, that x% equals 12.78 of the output value, so we can write it down as x%=12.78.
5. Now we have two simple equations:
1) 100%=99.52
2) x%=12.78
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%=99.52/12.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.78 is what percent of 99.52

100%/x%=99.52/12.78
(100/x)*x=(99.52/12.78)*x       - we multiply both sides of the equation by x
100=7.78716744914*x       - we divide both sides of the equation by (7.78716744914) to get x
100/7.78716744914=x
12.8416398714=x
x=12.8416398714

now we have:
12.78 is 12.8416398714% of 99.52