95.5 is what percent of 459 - 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 459 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 459, so we can write it down as 100%=459.
4. We know, that x% equals 95.5 of the output value, so we can write it down as x%=95.5.
5. Now we have two simple equations:
1) 100%=459
2) x%=95.5
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%=459/95.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 95.5 is what percent of 459

100%/x%=459/95.5
(100/x)*x=(459/95.5)*x       - we multiply both sides of the equation by x
100=4.8062827225131*x       - we divide both sides of the equation by (4.8062827225131) to get x
100/4.8062827225131=x
20.806100217865=x
x=20.806100217865

now we have:
95.5 is 20.806100217865% of 459