9.8 is what percent of 27.2 - 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 27.2 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 27.2, so we can write it down as 100%=27.2.
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%=27.2
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%=27.2/9.8
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 27.2

100%/x%=27.2/9.8
(100/x)*x=(27.2/9.8)*x       - we multiply both sides of the equation by x
100=2.7755102040816*x       - we divide both sides of the equation by (2.7755102040816) to get x
100/2.7755102040816=x
36.029411764706=x
x=36.029411764706

now we have:
9.8 is 36.029411764706% of 27.2