What is 28.835 percent of 20.738 - 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 20.738 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 20.738 is 100%, so we can write it down as 20.738=100%.
4. We know, that x is 28.835% of the output value, so we can write it down as x=28.835%.
5. Now we have two simple equations:
1) 20.738=100%
2) x=28.835%
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:
20.738/x=100%/28.835%
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 28.835% of 20.738

20.738/x=100/28.835
(20.738/x)*x=(100/28.835)*x       - we multiply both sides of the equation by x
20.738=3.4680076296168*x       - we divide both sides of the equation by (3.4680076296168) to get x
20.738/3.4680076296168=x
5.9798023=x
x=5.9798023

now we have:
28.835% of 20.738=5.9798023