83.25 is what percent of 195.5 - 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 195.5 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 195.5, so we can write it down as 100%=195.5.
4. We know, that x% equals 83.25 of the output value, so we can write it down as x%=83.25.
5. Now we have two simple equations:
1) 100%=195.5
2) x%=83.25
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%=195.5/83.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.25 is what percent of 195.5

100%/x%=195.5/83.25
(100/x)*x=(195.5/83.25)*x       - we multiply both sides of the equation by x
100=2.3483483483483*x       - we divide both sides of the equation by (2.3483483483483) to get x
100/2.3483483483483=x
42.583120204604=x
x=42.583120204604

now we have:
83.25 is 42.583120204604% of 195.5