3.83 is what percent of 97.92 - 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 97.92 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 97.92, so we can write it down as 100%=97.92.
4. We know, that x% equals 3.83 of the output value, so we can write it down as x%=3.83.
5. Now we have two simple equations:
1) 100%=97.92
2) x%=3.83
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%=97.92/3.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.83 is what percent of 97.92

100%/x%=97.92/3.83
(100/x)*x=(97.92/3.83)*x       - we multiply both sides of the equation by x
100=25.566579634465*x       - we divide both sides of the equation by (25.566579634465) to get x
100/25.566579634465=x
3.9113562091503=x
x=3.9113562091503

now we have:
3.83 is 3.9113562091503% of 97.92