What is 42.858 percent of 35.83 - 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 35.83 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 35.83 is 100%, so we can write it down as 35.83=100%.
4. We know, that x is 42.858% of the output value, so we can write it down as x=42.858%.
5. Now we have two simple equations:
1) 35.83=100%
2) x=42.858%
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:
35.83/x=100%/42.858%
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 42.858% of 35.83

35.83/x=100/42.858
(35.83/x)*x=(100/42.858)*x       - we multiply both sides of the equation by x
35.83=2.3332866676*x       - we divide both sides of the equation by (2.3332866676) to get x
35.83/2.3332866676=x
15.3560214=x
x=15.3560214

now we have:
42.858% of 35.83=15.3560214