9.92 is what percent of 20 - 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 20 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 20, so we can write it down as 100%=20.
4. We know, that x% equals 9.92 of the output value, so we can write it down as x%=9.92.
5. Now we have two simple equations:
1) 100%=20
2) x%=9.92
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%=20/9.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.92 is what percent of 20

100%/x%=20/9.92
(100/x)*x=(20/9.92)*x       - we multiply both sides of the equation by x
100=2.0161290322581*x       - we divide both sides of the equation by (2.0161290322581) to get x
100/2.0161290322581=x
49.6=x
x=49.6

now we have:
9.92 is 49.6% of 20