93.9 is what percent of 395.36 - 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 395.36 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 395.36, so we can write it down as 100%=395.36.
4. We know, that x% equals 93.9 of the output value, so we can write it down as x%=93.9.
5. Now we have two simple equations:
1) 100%=395.36
2) x%=93.9
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%=395.36/93.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 93.9 is what percent of 395.36

100%/x%=395.36/93.9
(100/x)*x=(395.36/93.9)*x       - we multiply both sides of the equation by x
100=4.2104366347178*x       - we divide both sides of the equation by (4.2104366347178) to get x
100/4.2104366347178=x
23.75050586807=x
x=23.75050586807

now we have:
93.9 is 23.75050586807% of 395.36