12.85 is what percent of 199 - 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 199 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 199, so we can write it down as 100%=199.
4. We know, that x% equals 12.85 of the output value, so we can write it down as x%=12.85.
5. Now we have two simple equations:
1) 100%=199
2) x%=12.85
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%=199/12.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.85 is what percent of 199

100%/x%=199/12.85
(100/x)*x=(199/12.85)*x       - we multiply both sides of the equation by x
100=15.486381322957*x       - we divide both sides of the equation by (15.486381322957) to get x
100/15.486381322957=x
6.4572864321608=x
x=6.4572864321608

now we have:
12.85 is 6.4572864321608% of 199