9.8 is what percent of 70.2 - 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 70.2 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 70.2, so we can write it down as 100%=70.2.
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%=70.2
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%=70.2/9.8
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 70.2

100%/x%=70.2/9.8
(100/x)*x=(70.2/9.8)*x       - we multiply both sides of the equation by x
100=7.1632653061224*x       - we divide both sides of the equation by (7.1632653061224) to get x
100/7.1632653061224=x
13.960113960114=x
x=13.960113960114

now we have:
9.8 is 13.960113960114% of 70.2