19.86 is what percent of 12.78 - 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 12.78 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 12.78, so we can write it down as 100%=12.78.
4. We know, that x% equals 19.86 of the output value, so we can write it down as x%=19.86.
5. Now we have two simple equations:
1) 100%=12.78
2) x%=19.86
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%=12.78/19.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.86 is what percent of 12.78

100%/x%=12.78/19.86
(100/x)*x=(12.78/19.86)*x       - we multiply both sides of the equation by x
100=0.64350453172205*x       - we divide both sides of the equation by (0.64350453172205) to get x
100/0.64350453172205=x
155.39906103286=x
x=155.39906103286

now we have:
19.86 is 155.39906103286% of 12.78