63 is what percent of 229.75 - 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 229.75 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 229.75, so we can write it down as 100%=229.75.
4. We know, that x% equals 63 of the output value, so we can write it down as x%=63.
5. Now we have two simple equations:
1) 100%=229.75
2) x%=63
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%=229.75/63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63 is what percent of 229.75

100%/x%=229.75/63
(100/x)*x=(229.75/63)*x       - we multiply both sides of the equation by x
100=3.6468253968254*x       - we divide both sides of the equation by (3.6468253968254) to get x
100/3.6468253968254=x
27.421109902067=x
x=27.421109902067

now we have:
63 is 27.421109902067% of 229.75