98.16 is what percent of 384.75 - 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 384.75 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 384.75, so we can write it down as 100%=384.75.
4. We know, that x% equals 98.16 of the output value, so we can write it down as x%=98.16.
5. Now we have two simple equations:
1) 100%=384.75
2) x%=98.16
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%=384.75/98.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98.16 is what percent of 384.75

100%/x%=384.75/98.16
(100/x)*x=(384.75/98.16)*x       - we multiply both sides of the equation by x
100=3.9196210268949*x       - we divide both sides of the equation by (3.9196210268949) to get x
100/3.9196210268949=x
25.512670565302=x
x=25.512670565302

now we have:
98.16 is 25.512670565302% of 384.75