What is 42.2 percent of 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 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 83 is 100%, so we can write it down as 83=100%.
4. We know, that x is 42.2% of the output value, so we can write it down as x=42.2%.
5. Now we have two simple equations:
1) 83=100%
2) x=42.2%
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:
83/x=100%/42.2%
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 42.2% of 83

83/x=100/42.2
(83/x)*x=(100/42.2)*x       - we multiply both sides of the equation by x
83=2.3696682464455*x       - we divide both sides of the equation by (2.3696682464455) to get x
83/2.3696682464455=x
35.026=x
x=35.026

now we have:
42.2% of 83=35.026