8.57 is what percent of 135.45 - 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 135.45 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 135.45, so we can write it down as 100%=135.45.
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%=135.45
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%=135.45/8.57
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 135.45

100%/x%=135.45/8.57
(100/x)*x=(135.45/8.57)*x       - we multiply both sides of the equation by x
100=15.805134189032*x       - we divide both sides of the equation by (15.805134189032) to get x
100/15.805134189032=x
6.3270579549649=x
x=6.3270579549649

now we have:
8.57 is 6.3270579549649% of 135.45