What is 2.42 percent of 38.655 - 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 38.655 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 38.655 is 100%, so we can write it down as 38.655=100%.
4. We know, that x is 2.42% of the output value, so we can write it down as x=2.42%.
5. Now we have two simple equations:
1) 38.655=100%
2) x=2.42%
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:
38.655/x=100%/2.42%
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 2.42% of 38.655

38.655/x=100/2.42
(38.655/x)*x=(100/2.42)*x       - we multiply both sides of the equation by x
38.655=41.322314049587*x       - we divide both sides of the equation by (41.322314049587) to get x
38.655/41.322314049587=x
0.935451=x
x=0.935451

now we have:
2.42% of 38.655=0.935451