What is 3.92 percent of 20.42 - 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 20.42 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 20.42 is 100%, so we can write it down as 20.42=100%.
4. We know, that x is 3.92% of the output value, so we can write it down as x=3.92%.
5. Now we have two simple equations:
1) 20.42=100%
2) x=3.92%
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:
20.42/x=100%/3.92%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 3.92% of 20.42

20.42/x=100/3.92
(20.42/x)*x=(100/3.92)*x       - we multiply both sides of the equation by x
20.42=25.5102040816*x       - we divide both sides of the equation by (25.5102040816) to get x
20.42/25.5102040816=x
0.800464=x
x=0.800464

now we have:
3.92% of 20.42=0.800464