What is 42.2 percent of 34.6 - 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 34.6 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 34.6 is 100%, so we can write it down as 34.6=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) 34.6=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:
34.6/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 34.6

34.6/x=100/42.2
(34.6/x)*x=(100/42.2)*x       - we multiply both sides of the equation by x
34.6=2.3696682464455*x       - we divide both sides of the equation by (2.3696682464455) to get x
34.6/2.3696682464455=x
14.6012=x
x=14.6012

now we have:
42.2% of 34.6=14.6012