39.5 is what percent of 156.4 - 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 156.4 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 156.4, so we can write it down as 100%=156.4.
4. We know, that x% equals 39.5 of the output value, so we can write it down as x%=39.5.
5. Now we have two simple equations:
1) 100%=156.4
2) x%=39.5
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%=156.4/39.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.5 is what percent of 156.4

100%/x%=156.4/39.5
(100/x)*x=(156.4/39.5)*x       - we multiply both sides of the equation by x
100=3.9594936708861*x       - we divide both sides of the equation by (3.9594936708861) to get x
100/3.9594936708861=x
25.255754475703=x
x=25.255754475703

now we have:
39.5 is 25.255754475703% of 156.4