257.18 is what percent of 570.43 - 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 570.43 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 570.43, so we can write it down as 100%=570.43.
4. We know, that x% equals 257.18 of the output value, so we can write it down as x%=257.18.
5. Now we have two simple equations:
1) 100%=570.43
2) x%=257.18
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%=570.43/257.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 257.18 is what percent of 570.43

100%/x%=570.43/257.18
(100/x)*x=(570.43/257.18)*x       - we multiply both sides of the equation by x
100=2.2180185084377*x       - we divide both sides of the equation by (2.2180185084377) to get x
100/2.2180185084377=x
45.085286538226=x
x=45.085286538226

now we have:
257.18 is 45.085286538226% of 570.43