257.74 is what percent of 500 - 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 500 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 500, so we can write it down as 100%=500.
4. We know, that x% equals 257.74 of the output value, so we can write it down as x%=257.74.
5. Now we have two simple equations:
1) 100%=500
2) x%=257.74
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%=500/257.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 257.74 is what percent of 500

100%/x%=500/257.74
(100/x)*x=(500/257.74)*x       - we multiply both sides of the equation by x
100=1.9399394738884*x       - we divide both sides of the equation by (1.9399394738884) to get x
100/1.9399394738884=x
51.548=x
x=51.548

now we have:
257.74 is 51.548% of 500