12.85 is what percent of 159.48 - 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 159.48 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 159.48, so we can write it down as 100%=159.48.
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%=159.48
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%=159.48/12.85
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 159.48

100%/x%=159.48/12.85
(100/x)*x=(159.48/12.85)*x       - we multiply both sides of the equation by x
100=12.410894941634*x       - we divide both sides of the equation by (12.410894941634) to get x
100/12.410894941634=x
8.0574366691748=x
x=8.0574366691748

now we have:
12.85 is 8.0574366691748% of 159.48