63.55 is what percent of 223.35 - 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 223.35 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 223.35, so we can write it down as 100%=223.35.
4. We know, that x% equals 63.55 of the output value, so we can write it down as x%=63.55.
5. Now we have two simple equations:
1) 100%=223.35
2) x%=63.55
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%=223.35/63.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.55 is what percent of 223.35

100%/x%=223.35/63.55
(100/x)*x=(223.35/63.55)*x       - we multiply both sides of the equation by x
100=3.5145554681353*x       - we divide both sides of the equation by (3.5145554681353) to get x
100/3.5145554681353=x
28.453100514887=x
x=28.453100514887

now we have:
63.55 is 28.453100514887% of 223.35