What is 42.026 percent of 39.92869 - 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 39.92869 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 39.92869 is 100%, so we can write it down as 39.92869=100%.
4. We know, that x is 42.026% of the output value, so we can write it down as x=42.026%.
5. Now we have two simple equations:
1) 39.92869=100%
2) x=42.026%
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:
39.92869/x=100%/42.026%
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 42.026% of 39.92869

39.92869/x=100/42.026
(39.92869/x)*x=(100/42.026)*x       - we multiply both sides of the equation by x
39.92869=2.3794793699139*x       - we divide both sides of the equation by (2.3794793699139) to get x
39.92869/2.3794793699139=x
16.7804312594=x
x=16.7804312594

now we have:
42.026% of 39.92869=16.7804312594