992.16 is what percent of 19843.2 - 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 19843.2 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 19843.2, so we can write it down as 100%=19843.2.
4. We know, that x% equals 992.16 of the output value, so we can write it down as x%=992.16.
5. Now we have two simple equations:
1) 100%=19843.2
2) x%=992.16
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%=19843.2/992.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 992.16 is what percent of 19843.2

100%/x%=19843.2/992.16
(100/x)*x=(19843.2/992.16)*x       - we multiply both sides of the equation by x
100=20*x       - we divide both sides of the equation by (20) to get x
100/20=x
5=x
x=5

now we have:
992.16 is 5% of 19843.2