98.81 is what percent of 489.1 - 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 489.1 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 489.1, so we can write it down as 100%=489.1.
4. We know, that x% equals 98.81 of the output value, so we can write it down as x%=98.81.
5. Now we have two simple equations:
1) 100%=489.1
2) x%=98.81
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%=489.1/98.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98.81 is what percent of 489.1

100%/x%=489.1/98.81
(100/x)*x=(489.1/98.81)*x       - we multiply both sides of the equation by x
100=4.949903855885*x       - we divide both sides of the equation by (4.949903855885) to get x
100/4.949903855885=x
20.202412594561=x
x=20.202412594561

now we have:
98.81 is 20.202412594561% of 489.1