82.39 is what percent of 197.6 - 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 197.6 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 197.6, so we can write it down as 100%=197.6.
4. We know, that x% equals 82.39 of the output value, so we can write it down as x%=82.39.
5. Now we have two simple equations:
1) 100%=197.6
2) x%=82.39
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%=197.6/82.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82.39 is what percent of 197.6

100%/x%=197.6/82.39
(100/x)*x=(197.6/82.39)*x       - we multiply both sides of the equation by x
100=2.3983493142372*x       - we divide both sides of the equation by (2.3983493142372) to get x
100/2.3983493142372=x
41.695344129555=x
x=41.695344129555

now we have:
82.39 is 41.695344129555% of 197.6