68.1 is what percent of 512.7 - 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 512.7 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 512.7, so we can write it down as 100%=512.7.
4. We know, that x% equals 68.1 of the output value, so we can write it down as x%=68.1.
5. Now we have two simple equations:
1) 100%=512.7
2) x%=68.1
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%=512.7/68.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 68.1 is what percent of 512.7

100%/x%=512.7/68.1
(100/x)*x=(512.7/68.1)*x       - we multiply both sides of the equation by x
100=7.5286343612335*x       - we divide both sides of the equation by (7.5286343612335) to get x
100/7.5286343612335=x
13.282621416033=x
x=13.282621416033

now we have:
68.1 is 13.282621416033% of 512.7