257.28 is what percent of 72000 - 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 72000 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 72000, so we can write it down as 100%=72000.
4. We know, that x% equals 257.28 of the output value, so we can write it down as x%=257.28.
5. Now we have two simple equations:
1) 100%=72000
2) x%=257.28
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%=72000/257.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 257.28 is what percent of 72000

100%/x%=72000/257.28
(100/x)*x=(72000/257.28)*x       - we multiply both sides of the equation by x
100=279.85074626866*x       - we divide both sides of the equation by (279.85074626866) to get x
100/279.85074626866=x
0.35733333333333=x
x=0.35733333333333

now we have:
257.28 is 0.35733333333333% of 72000