19.8 is what percent of 115.8 - 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 115.8 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 115.8, so we can write it down as 100%=115.8.
4. We know, that x% equals 19.8 of the output value, so we can write it down as x%=19.8.
5. Now we have two simple equations:
1) 100%=115.8
2) x%=19.8
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%=115.8/19.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.8 is what percent of 115.8

100%/x%=115.8/19.8
(100/x)*x=(115.8/19.8)*x       - we multiply both sides of the equation by x
100=5.8484848484848*x       - we divide both sides of the equation by (5.8484848484848) to get x
100/5.8484848484848=x
17.098445595855=x
x=17.098445595855

now we have:
19.8 is 17.098445595855% of 115.8