257.14 is what percent of 42.64 - 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 42.64 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 42.64, so we can write it down as 100%=42.64.
4. We know, that x% equals 257.14 of the output value, so we can write it down as x%=257.14.
5. Now we have two simple equations:
1) 100%=42.64
2) x%=257.14
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%=42.64/257.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 257.14 is what percent of 42.64

100%/x%=42.64/257.14
(100/x)*x=(42.64/257.14)*x       - we multiply both sides of the equation by x
100=0.16582406471183*x       - we divide both sides of the equation by (0.16582406471183) to get x
100/0.16582406471183=x
603.0487804878=x
x=603.0487804878

now we have:
257.14 is 603.0487804878% of 42.64