257.4 is what percent of 2059 - 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 2059 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 2059, so we can write it down as 100%=2059.
4. We know, that x% equals 257.4 of the output value, so we can write it down as x%=257.4.
5. Now we have two simple equations:
1) 100%=2059
2) x%=257.4
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%=2059/257.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 257.4 is what percent of 2059

100%/x%=2059/257.4
(100/x)*x=(2059/257.4)*x       - we multiply both sides of the equation by x
100=7.999222999223*x       - we divide both sides of the equation by (7.999222999223) to get x
100/7.999222999223=x
12.501214181642=x
x=12.501214181642

now we have:
257.4 is 12.501214181642% of 2059