229.6 is what percent of 542.45 - 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 542.45 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 100% equals 542.45, so we can write it down as 100%=542.45.
4. We know, that x% equals 229.6 of the output value, so we can write it down as x%=229.6.
5. Now we have two simple equations:
1) 100%=542.45
2) x%=229.6
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:
100%/x%=542.45/229.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 229.6 is what percent of 542.45

100%/x%=542.45/229.6
(100/x)*x=(542.45/229.6)*x       - we multiply both sides of the equation by x
100=2.3625871080139*x       - we divide both sides of the equation by (2.3625871080139) to get x
100/2.3625871080139=x
42.326481703383=x
x=42.326481703383

now we have:
229.6 is 42.326481703383% of 542.45