8.57 is what percent of 12.25 - 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 12.25 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 12.25, so we can write it down as 100%=12.25.
4. We know, that x% equals 8.57 of the output value, so we can write it down as x%=8.57.
5. Now we have two simple equations:
1) 100%=12.25
2) x%=8.57
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%=12.25/8.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.57 is what percent of 12.25

100%/x%=12.25/8.57
(100/x)*x=(12.25/8.57)*x       - we multiply both sides of the equation by x
100=1.4294049008168*x       - we divide both sides of the equation by (1.4294049008168) to get x
100/1.4294049008168=x
69.959183673469=x
x=69.959183673469

now we have:
8.57 is 69.959183673469% of 12.25