83.8 is what percent of 195 - 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 195 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 195, so we can write it down as 100%=195.
4. We know, that x% equals 83.8 of the output value, so we can write it down as x%=83.8.
5. Now we have two simple equations:
1) 100%=195
2) x%=83.8
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%=195/83.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.8 is what percent of 195

100%/x%=195/83.8
(100/x)*x=(195/83.8)*x       - we multiply both sides of the equation by x
100=2.326968973747*x       - we divide both sides of the equation by (2.326968973747) to get x
100/2.326968973747=x
42.974358974359=x
x=42.974358974359

now we have:
83.8 is 42.974358974359% of 195