What is 17.38 percent of 28.25 - 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 28.25 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 28.25 is 100%, so we can write it down as 28.25=100%.
4. We know, that x is 17.38% of the output value, so we can write it down as x=17.38%.
5. Now we have two simple equations:
1) 28.25=100%
2) x=17.38%
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:
28.25/x=100%/17.38%
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 17.38% of 28.25

28.25/x=100/17.38
(28.25/x)*x=(100/17.38)*x       - we multiply both sides of the equation by x
28.25=5.7537399309551*x       - we divide both sides of the equation by (5.7537399309551) to get x
28.25/5.7537399309551=x
4.90985=x
x=4.90985

now we have:
17.38% of 28.25=4.90985