258.22 is what percent of 398.5 - 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 398.5 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 398.5, so we can write it down as 100%=398.5.
4. We know, that x% equals 258.22 of the output value, so we can write it down as x%=258.22.
5. Now we have two simple equations:
1) 100%=398.5
2) x%=258.22
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%=398.5/258.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 258.22 is what percent of 398.5

100%/x%=398.5/258.22
(100/x)*x=(398.5/258.22)*x       - we multiply both sides of the equation by x
100=1.5432576872434*x       - we divide both sides of the equation by (1.5432576872434) to get x
100/1.5432576872434=x
64.797992471769=x
x=64.797992471769

now we have:
258.22 is 64.797992471769% of 398.5