386.5 is what percent of 440.8 - 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 440.8 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 440.8, so we can write it down as 100%=440.8.
4. We know, that x% equals 386.5 of the output value, so we can write it down as x%=386.5.
5. Now we have two simple equations:
1) 100%=440.8
2) x%=386.5
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%=440.8/386.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 386.5 is what percent of 440.8

100%/x%=440.8/386.5
(100/x)*x=(440.8/386.5)*x       - we multiply both sides of the equation by x
100=1.1404915912031*x       - we divide both sides of the equation by (1.1404915912031) to get x
100/1.1404915912031=x
87.681488203267=x
x=87.681488203267

now we have:
386.5 is 87.681488203267% of 440.8