0.1 is what percent of 19.8 - 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 19.8 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 19.8, so we can write it down as 100%=19.8.
4. We know, that x% equals 0.1 of the output value, so we can write it down as x%=0.1.
5. Now we have two simple equations:
1) 100%=19.8
2) x%=0.1
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%=19.8/0.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.1 is what percent of 19.8

100%/x%=19.8/0.1
(100/x)*x=(19.8/0.1)*x       - we multiply both sides of the equation by x
100=198*x       - we divide both sides of the equation by (198) to get x
100/198=x
0.50505050505051=x
x=0.50505050505051

now we have:
0.1 is 0.50505050505051% of 19.8