9.8 is what percent of 24.79 - 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 24.79 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 24.79, so we can write it down as 100%=24.79.
4. We know, that x% equals 9.8 of the output value, so we can write it down as x%=9.8.
5. Now we have two simple equations:
1) 100%=24.79
2) x%=9.8
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%=24.79/9.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.8 is what percent of 24.79

100%/x%=24.79/9.8
(100/x)*x=(24.79/9.8)*x       - we multiply both sides of the equation by x
100=2.5295918367347*x       - we divide both sides of the equation by (2.5295918367347) to get x
100/2.5295918367347=x
39.532069382816=x
x=39.532069382816

now we have:
9.8 is 39.532069382816% of 24.79