94.86 is what percent of 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 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 98, so we can write it down as 100%=98.
4. We know, that x% equals 94.86 of the output value, so we can write it down as x%=94.86.
5. Now we have two simple equations:
1) 100%=98
2) x%=94.86
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%=98/94.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 94.86 is what percent of 98

100%/x%=98/94.86
(100/x)*x=(98/94.86)*x       - we multiply both sides of the equation by x
100=1.0331014126081*x       - we divide both sides of the equation by (1.0331014126081) to get x
100/1.0331014126081=x
96.795918367347=x
x=96.795918367347

now we have:
94.86 is 96.795918367347% of 98