458.25 is what percent of 887.5 - 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 887.5 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 887.5, so we can write it down as 100%=887.5.
4. We know, that x% equals 458.25 of the output value, so we can write it down as x%=458.25.
5. Now we have two simple equations:
1) 100%=887.5
2) x%=458.25
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%=887.5/458.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 458.25 is what percent of 887.5

100%/x%=887.5/458.25
(100/x)*x=(887.5/458.25)*x       - we multiply both sides of the equation by x
100=1.936715766503*x       - we divide both sides of the equation by (1.936715766503) to get x
100/1.936715766503=x
51.633802816901=x
x=51.633802816901

now we have:
458.25 is 51.633802816901% of 887.5