9.8 is what percent of 18.56 - 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 18.56 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 18.56, so we can write it down as 100%=18.56.
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%=18.56
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%=18.56/9.8
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 18.56

100%/x%=18.56/9.8
(100/x)*x=(18.56/9.8)*x       - we multiply both sides of the equation by x
100=1.8938775510204*x       - we divide both sides of the equation by (1.8938775510204) to get x
100/1.8938775510204=x
52.801724137931=x
x=52.801724137931

now we have:
9.8 is 52.801724137931% of 18.56