What is 42.4 percent of 86.8 - 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 86.8 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 86.8 is 100%, so we can write it down as 86.8=100%.
4. We know, that x is 42.4% of the output value, so we can write it down as x=42.4%.
5. Now we have two simple equations:
1) 86.8=100%
2) x=42.4%
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:
86.8/x=100%/42.4%
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 42.4% of 86.8

86.8/x=100/42.4
(86.8/x)*x=(100/42.4)*x       - we multiply both sides of the equation by x
86.8=2.3584905660377*x       - we divide both sides of the equation by (2.3584905660377) to get x
86.8/2.3584905660377=x
36.8032=x
x=36.8032

now we have:
42.4% of 86.8=36.8032