9.8 is what percent of 26.1 - 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 26.1 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 26.1, so we can write it down as 100%=26.1.
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%=26.1
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%=26.1/9.8
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 26.1

100%/x%=26.1/9.8
(100/x)*x=(26.1/9.8)*x       - we multiply both sides of the equation by x
100=2.6632653061224*x       - we divide both sides of the equation by (2.6632653061224) to get x
100/2.6632653061224=x
37.547892720307=x
x=37.547892720307

now we have:
9.8 is 37.547892720307% of 26.1