96.52 is what percent of 393.98 - 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 393.98 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 393.98, so we can write it down as 100%=393.98.
4. We know, that x% equals 96.52 of the output value, so we can write it down as x%=96.52.
5. Now we have two simple equations:
1) 100%=393.98
2) x%=96.52
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%=393.98/96.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96.52 is what percent of 393.98

100%/x%=393.98/96.52
(100/x)*x=(393.98/96.52)*x       - we multiply both sides of the equation by x
100=4.0818483215914*x       - we divide both sides of the equation by (4.0818483215914) to get x
100/4.0818483215914=x
24.498705518047=x
x=24.498705518047

now we have:
96.52 is 24.498705518047% of 393.98