What is 38.095238095238 percent of 2.74 - 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 2.74 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 2.74 is 100%, so we can write it down as 2.74=100%.
4. We know, that x is 38.095238095238% of the output value, so we can write it down as x=38.095238095238%.
5. Now we have two simple equations:
1) 2.74=100%
2) x=38.095238095238%
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:
2.74/x=100%/38.095238095238%
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 38.095238095238% of 2.74

2.74/x=100/38.095238095238
(2.74/x)*x=(100/38.095238095238)*x       - we multiply both sides of the equation by x
2.74=2.625*x       - we divide both sides of the equation by (2.625) to get x
2.74/2.625=x
1.0438095238095=x
x=1.0438095238095

now we have:
38.095238095238% of 2.74=1.0438095238095