63.55 is what percent of 187.55 - 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 187.55 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 187.55, so we can write it down as 100%=187.55.
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%=187.55
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%=187.55/63.55
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 187.55

100%/x%=187.55/63.55
(100/x)*x=(187.55/63.55)*x       - we multiply both sides of the equation by x
100=2.9512195121951*x       - we divide both sides of the equation by (2.9512195121951) to get x
100/2.9512195121951=x
33.884297520661=x
x=33.884297520661

now we have:
63.55 is 33.884297520661% of 187.55