257.25 is what percent of 1445.5 - 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 1445.5 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 1445.5, so we can write it down as 100%=1445.5.
4. We know, that x% equals 257.25 of the output value, so we can write it down as x%=257.25.
5. Now we have two simple equations:
1) 100%=1445.5
2) x%=257.25
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%=1445.5/257.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 257.25 is what percent of 1445.5

100%/x%=1445.5/257.25
(100/x)*x=(1445.5/257.25)*x       - we multiply both sides of the equation by x
100=5.6190476190476*x       - we divide both sides of the equation by (5.6190476190476) to get x
100/5.6190476190476=x
17.796610169492=x
x=17.796610169492

now we have:
257.25 is 17.796610169492% of 1445.5