20 is what percent of 198.41 - 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 198.41 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 198.41, so we can write it down as 100%=198.41.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=198.41
2) x%=20
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%=198.41/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 198.41

100%/x%=198.41/20
(100/x)*x=(198.41/20)*x       - we multiply both sides of the equation by x
100=9.9205*x       - we divide both sides of the equation by (9.9205) to get x
100/9.9205=x
10.080137089864=x
x=10.080137089864

now we have:
20 is 10.080137089864% of 198.41