63.68 is what percent of 228.56 - 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 228.56 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 228.56, so we can write it down as 100%=228.56.
4. We know, that x% equals 63.68 of the output value, so we can write it down as x%=63.68.
5. Now we have two simple equations:
1) 100%=228.56
2) x%=63.68
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%=228.56/63.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.68 is what percent of 228.56

100%/x%=228.56/63.68
(100/x)*x=(228.56/63.68)*x       - we multiply both sides of the equation by x
100=3.5891959798995*x       - we divide both sides of the equation by (3.5891959798995) to get x
100/3.5891959798995=x
27.861393069653=x
x=27.861393069653

now we have:
63.68 is 27.861393069653% of 228.56