432.5 is what percent of 862.5 - 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 862.5 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 862.5, so we can write it down as 100%=862.5.
4. We know, that x% equals 432.5 of the output value, so we can write it down as x%=432.5.
5. Now we have two simple equations:
1) 100%=862.5
2) x%=432.5
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%=862.5/432.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 432.5 is what percent of 862.5

100%/x%=862.5/432.5
(100/x)*x=(862.5/432.5)*x       - we multiply both sides of the equation by x
100=1.9942196531792*x       - we divide both sides of the equation by (1.9942196531792) to get x
100/1.9942196531792=x
50.144927536232=x
x=50.144927536232

now we have:
432.5 is 50.144927536232% of 862.5