230.58 is what percent of 457.5 - 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 457.5 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 457.5, so we can write it down as 100%=457.5.
4. We know, that x% equals 230.58 of the output value, so we can write it down as x%=230.58.
5. Now we have two simple equations:
1) 100%=457.5
2) x%=230.58
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%=457.5/230.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 230.58 is what percent of 457.5

100%/x%=457.5/230.58
(100/x)*x=(457.5/230.58)*x       - we multiply both sides of the equation by x
100=1.984126984127*x       - we divide both sides of the equation by (1.984126984127) to get x
100/1.984126984127=x
50.4=x
x=50.4

now we have:
230.58 is 50.4% of 457.5