What is 42.9 percent of 90.2 - 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 90.2 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 90.2 is 100%, so we can write it down as 90.2=100%.
4. We know, that x is 42.9% of the output value, so we can write it down as x=42.9%.
5. Now we have two simple equations:
1) 90.2=100%
2) x=42.9%
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:
90.2/x=100%/42.9%
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 42.9% of 90.2

90.2/x=100/42.9
(90.2/x)*x=(100/42.9)*x       - we multiply both sides of the equation by x
90.2=2.3310023310023*x       - we divide both sides of the equation by (2.3310023310023) to get x
90.2/2.3310023310023=x
38.6958=x
x=38.6958

now we have:
42.9% of 90.2=38.6958