458.3 is what percent of 109.2 - 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 109.2 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 109.2, so we can write it down as 100%=109.2.
4. We know, that x% equals 458.3 of the output value, so we can write it down as x%=458.3.
5. Now we have two simple equations:
1) 100%=109.2
2) x%=458.3
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%=109.2/458.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 458.3 is what percent of 109.2

100%/x%=109.2/458.3
(100/x)*x=(109.2/458.3)*x       - we multiply both sides of the equation by x
100=0.23827187431813*x       - we divide both sides of the equation by (0.23827187431813) to get x
100/0.23827187431813=x
419.68864468864=x
x=419.68864468864

now we have:
458.3 is 419.68864468864% of 109.2