What is 27.95 percent of 38.95 - 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 38.95 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 38.95 is 100%, so we can write it down as 38.95=100%.
4. We know, that x is 27.95% of the output value, so we can write it down as x=27.95%.
5. Now we have two simple equations:
1) 38.95=100%
2) x=27.95%
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:
38.95/x=100%/27.95%
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 27.95% of 38.95

38.95/x=100/27.95
(38.95/x)*x=(100/27.95)*x       - we multiply both sides of the equation by x
38.95=3.5778175313059*x       - we divide both sides of the equation by (3.5778175313059) to get x
38.95/3.5778175313059=x
10.886525=x
x=10.886525

now we have:
27.95% of 38.95=10.886525