9.8 is what percent of 78.9 - 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 78.9 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 78.9, so we can write it down as 100%=78.9.
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%=78.9
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%=78.9/9.8
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 78.9

100%/x%=78.9/9.8
(100/x)*x=(78.9/9.8)*x       - we multiply both sides of the equation by x
100=8.0510204081633*x       - we divide both sides of the equation by (8.0510204081633) to get x
100/8.0510204081633=x
12.420785804816=x
x=12.420785804816

now we have:
9.8 is 12.420785804816% of 78.9