8.49 is what percent of 19.39 - 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 19.39 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 19.39, so we can write it down as 100%=19.39.
4. We know, that x% equals 8.49 of the output value, so we can write it down as x%=8.49.
5. Now we have two simple equations:
1) 100%=19.39
2) x%=8.49
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%=19.39/8.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.49 is what percent of 19.39

100%/x%=19.39/8.49
(100/x)*x=(19.39/8.49)*x       - we multiply both sides of the equation by x
100=2.283863368669*x       - we divide both sides of the equation by (2.283863368669) to get x
100/2.283863368669=x
43.785456420835=x
x=43.785456420835

now we have:
8.49 is 43.785456420835% of 19.39