12.68 is what percent of 845 - 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 845 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 845, so we can write it down as 100%=845.
4. We know, that x% equals 12.68 of the output value, so we can write it down as x%=12.68.
5. Now we have two simple equations:
1) 100%=845
2) x%=12.68
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%=845/12.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.68 is what percent of 845

100%/x%=845/12.68
(100/x)*x=(845/12.68)*x       - we multiply both sides of the equation by x
100=66.640378548896*x       - we divide both sides of the equation by (66.640378548896) to get x
100/66.640378548896=x
1.5005917159763=x
x=1.5005917159763

now we have:
12.68 is 1.5005917159763% of 845