What is 42.38 percent of 122.96 - 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 122.96 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 122.96 is 100%, so we can write it down as 122.96=100%.
4. We know, that x is 42.38% of the output value, so we can write it down as x=42.38%.
5. Now we have two simple equations:
1) 122.96=100%
2) x=42.38%
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:
122.96/x=100%/42.38%
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 42.38% of 122.96

122.96/x=100/42.38
(122.96/x)*x=(100/42.38)*x       - we multiply both sides of the equation by x
122.96=2.3596035865975*x       - we divide both sides of the equation by (2.3596035865975) to get x
122.96/2.3596035865975=x
52.110448=x
x=52.110448

now we have:
42.38% of 122.96=52.110448