55.68 is what percent of 229.5 - 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 229.5 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 229.5, so we can write it down as 100%=229.5.
4. We know, that x% equals 55.68 of the output value, so we can write it down as x%=55.68.
5. Now we have two simple equations:
1) 100%=229.5
2) x%=55.68
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%=229.5/55.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.68 is what percent of 229.5

100%/x%=229.5/55.68
(100/x)*x=(229.5/55.68)*x       - we multiply both sides of the equation by x
100=4.1217672413793*x       - we divide both sides of the equation by (4.1217672413793) to get x
100/4.1217672413793=x
24.261437908497=x
x=24.261437908497

now we have:
55.68 is 24.261437908497% of 229.5