395.23 is what percent of 456.5 - 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 456.5 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 456.5, so we can write it down as 100%=456.5.
4. We know, that x% equals 395.23 of the output value, so we can write it down as x%=395.23.
5. Now we have two simple equations:
1) 100%=456.5
2) x%=395.23
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%=456.5/395.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 395.23 is what percent of 456.5

100%/x%=456.5/395.23
(100/x)*x=(456.5/395.23)*x       - we multiply both sides of the equation by x
100=1.15502365711*x       - we divide both sides of the equation by (1.15502365711) to get x
100/1.15502365711=x
86.578313253=x
x=86.578313253

now we have:
395.23 is 86.578313253% of 456.5