9.8 is what percent of 52.12 - 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 52.12 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 52.12, so we can write it down as 100%=52.12.
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%=52.12
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%=52.12/9.8
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 52.12

100%/x%=52.12/9.8
(100/x)*x=(52.12/9.8)*x       - we multiply both sides of the equation by x
100=5.3183673469388*x       - we divide both sides of the equation by (5.3183673469388) to get x
100/5.3183673469388=x
18.80276285495=x
x=18.80276285495

now we have:
9.8 is 18.80276285495% of 52.12