9.8 is what percent of 286.4 - 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 286.4 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 286.4, so we can write it down as 100%=286.4.
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%=286.4
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%=286.4/9.8
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 286.4

100%/x%=286.4/9.8
(100/x)*x=(286.4/9.8)*x       - we multiply both sides of the equation by x
100=29.224489795918*x       - we divide both sides of the equation by (29.224489795918) to get x
100/29.224489795918=x
3.4217877094972=x
x=3.4217877094972

now we have:
9.8 is 3.4217877094972% of 286.4